RESISTANCBS on: TWO mass or mvmmc FITTINGS r-on RECTANGULAR DUCT: Theda for Tho Dssrsa of M. S. MIU‘HGAN STATE COLLEGE Robert J. Waalkes 19151 _lflfl1 I 'J'HESIV SUPPLEMENTARY MATERIAL IN BACK OF BOOK This is to certifg that the thesis entitled has been accepted towards fulfillment of the requirements for 1", 7' ' I ‘ . ‘n . _. , \ - . I bi . ,1 -* T' .b degree In .415" f. fly ' I .LYIL Y “L." “L 2% 1h - Majnr prufessn Date ’ Au. ALA RESISTANCES OF TWO TYPES OF DIVIDING FITTINGS FOR RECTANGULAR DUCTS By ROBERT J. WAALKES A THESIS Submitted to the School of Graduate Studies of Michigan State College of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Mechanical Engineering 1951 ll‘lllllllillllull‘lll'llllll'l’llltlf. llII ll [Ilrll/lll (II ACKNOWLEDGMENTS The author wishes to express his sincere appre- ciation for the consultation and guidance of Dean L. G. Miller of the School of Engineering, and for the assist- ance of Professor C. H. Pesterfield of the Department of Mechanical Engineering. He wishes also to acknowledge the work of Mr. L. A. Yerkovich and Mr. J. H. Yohn who have previously worked on this project. Material from their theses has been re-evaluated and made a part of this paper. Mr. Donald Seble and Mr. Carl Redman are also to be thanked for their assistance and cooperation in the laboratory. 2558711 TABLE OF CONTENTS PAGE INTRODUCTION . . . . . . . . . . . . . . . . . . 1 GENERAL APPROACH TO PROBLEM . . . . . . . . . . . 3 DESCRIPTION OF TESTING EQUIPMENT . . . . . . . . 6 Volume Measuring Station . . . . . . . . . . . 6 Static Pressure Measuring Station . . . . . . . 10 Orifice Plates . . . . . . . . . . . . . . . . 12 ORIFICE CALIBRATIONS . . . . . . . . . . . . . . 14 TEST PROCEDURE .. . . . . . . . . . . . . . . . . 26 First Straight Type Fitting . . . . . . . . . . 31 Second Straight Type Fitting . . . . . . . . . 33 Third Straight Type Fitting . . . . . . . . . . 33 Actual Measured Lengths . . . . . . . . . . . . 4O CALCULATIONS . . . . . . . . . . . . . . . . . . 41 DISCUSSION . . . . . . . . . . . . . . . .-. . . 47 CONCLUSIONS . . . . . . . . . . . . . . . . . . . 53 DATA SEETS O O O O O O O O O O O O O O O O O 0 O 5 6 LIST OF ILLUSTRATIONS FIGURE 1. General View of Test Equipment . . . . lA. Layout of Test Equipment . . . . . . . 2. Volume Measuring Station . . . . . . . 3. Static Pressure Measuring Station . . 4. Typical Orifice Plates . . . . . . . . S. Fittings Tested . . . . . . . . . . . 6. Increaser Fitting in Place . . . . . . 7. Straight Fitting in Place . . . . . . 8. Orifice Plate Being Placed in Position 9. Damper Adjustment Being Made . . . . . 10. Set-up for Runs 87-118 . . . . . . . . 11. Set-up for Runs 119-147 . . . . . . . l2. Set-up for Runs 148-176 . . . . . . . CURVE SHEETS 1‘60 7-9. 10. 11. Orifice Calibrations . . . . . . . . Friction of Branch Ducts . . . . . . Frictional Effect on Takeoff Branch, Increaser Type . . . . . . . . . . Frictional Effect on Takeoff Branch, Straight Type . . . . . . . . . . . PAGE 7 Pocket 9 11 13 27 28 29 3O 32 3A 36 38 17 23 Pocket Pocket CURVE SHEETS PAGE 12. Frictional Effect on Straight Branch, Increaser Type . . . . . . . . . . . . . . Pocket l3. Frictional Effect on Straight Branch, Straight Type . . . . . . . . . . . . . . Pocket -------- INTRODUCTION The objective of this research project, which is a cooperative effort of the American Society of Heating and Ventilating Engineers and Michigan State College, is to determine the resistance offered to the flow of air by dividing fittings for rectangular ducts wherein a portion of the air stream is diverted ninety degrees and the remainder is carried on straight in a branch of re- duced size. At the present time there is little pub— lished data available on the frictional effect of such a fitting on the diverted branch, and practically no in— formation as to the effect on the branch (or reduced main) which continues straight. The original project proposed the testing of three different designs of fittings, with three combina- tions of branch sizes for each design. Tests of the three fittings of the first design were completed by Mr. L. A. Yerkovich and Mr. J. H. Yohn, and the three fittings of the second design have been tested by the author. This paper presents the complete data and re- sults obtained with the second three fittings, and in- cludes a re—evaluation of the data and results of the first three fittings. Hence, the conclusions and recom- mendations given herein are based on an examination of 2 the results from tests of six of the originally proposed nine fittings. The results given are empirical results obtained by actual test, and it is not within the scope of this paper to present an analytical interpretation. Such an interpretation should await the completion of the test- ing program when all variables will have been considered, and a significant interpretation can be attempted. The empirical results can be used as an interim guide for designers of air handling systems until such time as a rigorous analysis of the mechanics of flow involved can be made to explain and verify the test results. GENERAL APPROACH TO PROBLEM From a study of the problem it appears that the losses in the fitting will be dependent on several fac- tors, namely: (1) the design of the fitting; (2) the respective sizes of the "takeoff" and "straight" branches; (3) the equivalent length of the two branches; (4) the relative proportions of air flowing through the two branches; and (5) the total quantity of air flowing through the fitting. These factors therefore become the variables in the test program. The first two variables are taken care of by the selection of the three designs of fittings and the three combinations of branch sizes previously mentioned. To keep the duct system from becoming cumbersome and at the same time provide a means for measuring the flow through the two branches, the equivalent lengths are varied by providing a series of rectangular sharp- edged orifice plates for each branch. These are insert- ed in the branch duct downstream of the fitting, and si- multaneously change the equivalent length of the branch and the amount of air flowing through it. The orifice is used to measure the quantity of air flowing through the branch by calibrating it against a static pressure reading taken Just ahead of it. fl...— —..--— ‘ “Mt “>4“-‘-"—_- The fifth variable is controlled by means of a damper placed in the main duct well back toward the blower. The total volume of air flowing through the system is varied by adjusting this damper in increments from the open position to the closed position. It is desired to express the resistance offered to flow by the dividing fitting as an added equivalent length for each branch. This is accomplished by the taking of data which together with the necessary calcu- lations leads to the determination of the total pressure drOp from a point in the main duct just upstream of the fitting to a point in each of the branch ducts down- stream of the fitting. These total pressure drops rep- resent losses between the two points, and are converted to equivalent lengths by use of the friction chart and observed data on quantity of flow and duct size for each branch. The subtraction of the actual measured length between the points in each case then gives the added equivalent length of the branch due to the dividing fit- ing. This procedure is repeated for each setting on each of a series of runs made with the above factors as variables. The final plot of all these added equivalent lengths, with average curves drawn, then gives a picture of the frictional effect of the fitting over a wide range of flow conditions. DESCRIPTION OF TESTING EQUIPMENT A general view of the testing equipment is shown in Figure l, and a layout is shown in Figure 1A in the pocket at the end of the paper. It consists of a cen- trifugal blower connected to a system of ductwork with quadrant damper, ASME long radius nozzle, test fitting, static taps, and sharp-edged orifices located as shown in the layout. The equipment is located in the Mechan- ical Engineering Laboratory of Michigan State College and is still set up for further testing. The blower used to supply air to the system runs at a constant speed of about 1290 R.P.M., and the total volume of air handled is varied by means of the quadrant damper. For purposes of description and discussion the balance of the testing equipment is divided into a vol- ume measuring station, a static pressure measuring sta- tion, and orifice plates. 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S 11 n .1. ..1.1/1 .w 14V - - - 5 1w. 1 91 - .m a 1 11 / - 1 . M L 1...» . 11m - - - . - 11 1.1-1--1.-11.-111.131..- 1 -/ .... - - - - - - . . .u. E . 1 - W - 1m 2 h 5 1 _ 5 . , E 1 - W». r. a 1;- 8 O 0. Imu. 5:- w. ._ I . m... . .. 11. 1L .. - .... \wxlx Qw-TQEtk-md Xxuxh - .. L ._ 1 .. . 0 . 0 0 - w J. C 0 . o . . 0 - 1 .. ., O 0 0 O . m o 8 e 4 2; 1-1 ----.1- - _. hi1 . X 4. a ..1. ...1 1 1- - ...1. , .b e MLIT-232 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Running Log of Sheet No. 0W1 1 me 1 "~11- coo-amend; H 1-1 H O \1 cal—”V 1 M 1 1 I 1 1 H N 1 -A. .\l - _ M“: 1 8§$I€§8$535535 I! 1 Ronni-ks: Date , 19— ML|T1232 Running Log of MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Sheet No. m1 orator—t No. (cm-065014?- NHHHHI—‘I—‘HI—IHH 1 25 1 Remarks: I Date , 19—. TEST PROCEDURE The general outline of the test procedure is to select a particular style fitting in one of the three combinations of branch duct sizes; make a series of runs on this fitting with the variable between runs being the combination of orifice sizes in the branch ducts and the variable for each individual run being the total volume of air flowing through the system; and then replace the fitting with another one and repeat the process until all fittings have been tested. Figure 5 shows the fittings which have been test- ed. This paper covers the test work on the straight type fittings D, E, and F, and includes an analysis of the test results on fittings A, B, and C as previously ‘mentioned. Figure 6 is a view of fitting B in position ready for test, and Figure 7 is a similar view of fit- ting E. ‘ After the fitting and branch ducts are put in place, orifice plates are inserted in the U-channel fix- tures in the branch ducts as shown in Figure 8, the damper is opened wide, and the blower is started to be- gin the tests. The data taken consists of the velocity pressure P3 - P2 in the volume measuring nozzle, the static pressures P4, P5, and P6 as described on page 10, the wet and dry bulb temperatures of the air, and the 27 fix N m? 9.. 1K «LN-K T11. K 4 3c m Egan—”rm \xc. ... .1 k. {b “3&1. 1... -.1? QNk-nflwk WWZFNKTK 1w. NnKXK WNWWNQr-ver 1‘-” ~— -(.’ —————— ——«>—1 4. 28 FIGURE 6 INCREASER FITTING IN PLACE. FIGURE 7 STRAIGHT FITTING IN PLACE 29 FIGURE 8 ORIFICE PLATE BEING PLACED IN POSITION 3O 31 barometer reading. These data are taken for each of about eleven different settings of the damper control- ling the volume of air flowing. The damper is adjusted in increments from the wide open position to the fully closed position which varies the quantity of air flowing from about 1750 cfm to 200 cfm. Figure 9 shows this ad- Justment being made. These eleven points comprise one run, and one or both of the orifice plates are then changed to set up the next run. In the taking of the data, the velocity pressure P3 - P2 is read on the 8" inclined draft gauge (on the 0.5" gauge for low pressures) after a steady state is reached following the damper adjustment. The static pressures P4, P5, and P6 are read on the 3", l", or 0.5" gauge as required. The arrangement permitting all three pressures to be read on the same gauge eliminates the possibility of variation between instruments, but causes some loss of time since for considerable variations in pressure additional time is required for the instrument to settle out. First Straight Type Fitting The first straight type fitting tested was fit- ing E. The set-up of the fitting and orifice plates for the series of runs on this fitting is shown in FIGURE 9 DAMPER ADJUSTMENT BEING MADE 32 33 Figure 10. There are four different sizes of orifice plates for each branch duct, making a total of sixteen possible combinations. The EISposition of orifices in the individual runs is given in Table II, and the cali- bration curves for the orifices are on Curve Sheets 1 and 2. Second Straight Type Fitting Fitting F was the second straight type fitting tested. Figure 11 shows the set-up of the fitting and orifice plates for this series of runs. Five different orifices for the takeoff branch and four for the straight branch make a total of twenty runs in this case. Table III gives the disposition of orifices for the individual runs, and the calibration curves for the orifices are on Curve Sheets 3 and 4. Third Straight Type Fitting The third straight type fitting tested was fit— ting D. It is the reverse of fitting F, and the same orifice plates are used as for fitting F giving again a series of twenty runs. The set-up for this series is shown in Figure 12, and Table IV shows the combination of orifices for each run. Curve Sheets 5 and 6 are the orifice calibration curves in this case. 34 SET-UP Foe Bax/vs 67-//c‘5 4; 5m T/C TAP-w— OE/F/CE PLATE—L FIGURE 10 .11L ’1 ZOHx 8 N x; STAT/C 7‘HP———~~1 -——~~--—u--»0~~--- -- 1 r / I /” r - 4 __.-..----“ we: ~-—-:.~ 1 l = r L I 1% 1‘ l o 1* “N I RI ‘3 :A. I ‘ / 4-12 5771 NC TAP L / 11 4 0/2 lF/CE PLATE ‘ . 11"“ _3 u TABLE II Orifice Sizes Run N°‘ Straight Take-off 95 911 x 6 1/211 9" x 6 1/211 96 ll 8 1/211 X 6" 97 n 8" x 5 1/211 98 II 7" x 4 1/2" 100 8 1/2" x 6" 9" x 6 1/2" 101 " 8 1/'" x 6" 102 n 8" X 5 1/211 103 u 7" x 4 1/2" 105 8" x 5 1/2" 9" x 6 1/2" 106 " 8 1/2" x 6" 107 u 8" x 5 1/211 108 " 7" x 4 1/2" 110 7" x 4 1/2" 9" x 6 l/2" lll " 8 1/2“ x 6" 112 " 8" x 5 1/2" 113 " 7" x 11 1/2" JEr-UP Foe BUN: //.9-/47 P o‘mr/c TAP mm» 4. -~<——— // ’—’—+++————-—- 9 ’—/ ”-———«—~»« m 20'} {3’ ” __.___ ___1_> 0 --.—__.,___v_.— 4 /8 "x 8 ” A v Z ' x2 JTflT/C TAP I; OE/F/CE PLATE OE/F/CE PLATF—~~. FIGURE 11 2.4 ——>—:-<——-—/ / I I I f‘- a 44 57A T/C TAP ———1>Ov - 37 TABLE III Orifice Sizes Run NO‘ Straight Take-off 128 7" x 2" 16 1/2" x 6 1/2" 129 u 16" x 6" 130 " 15 1/2" x 5 1/2" 131 n 15" x 5" 132 n 14" x 4" 133 6 1/2'4 x 1 1/2" 16 1/2" x 6 1/2" 134 n 16" x 6" 135 " 15 1/2" x 5 1/2" 136 n 15" x 5" 137 u 14" x 4" 138 6 1/4" x 1 1/4" 16 1/2" x 6 1/2" 139 " 16" x 6" 140 " 15 1/2" x 5 1/2" 141 N 15" X 5" 142 " 14" x 4" 143 6" x 1" 16 1/2" x 6 1/2" 144 Ii 16" X 6" 145 " 15 1/2" x 5 1/2" 11’s it 15" x 5" 147 u 14" X 4" 38 SET-UP FOE £70va /4<5-/76 5; 57A T/C TAP I, ” .,.( .1-/{3% _>1.<___1_1._.-_3 ’_ 7 :5 __.,1 H X 1 ‘7) f" ”i 0 «g4 -.1[;;/, LP JTAT/C TAP 6 OBIF/CE PLATE Ag. STAT/C TAP OE/F/CE PLATE-1 Y i w 77‘ N L—// FIGURE 12 39 TABLE IV Orifice Sizes Run No. Straight Take-off 157 16 1/2" x 6 1/2" 7" x 2" 158 16" x 6" " 159 15 1/2" x 5 1/2" " 160 15" x 5" n 161 14" x 4" " 162 16 1/2" x 6 1/2" 6 1/2" x 1 1/2" 163 16" X 6" n 164 15 1/2" x 5 1/2" " 165 15" X 5" II 166 14" x 4" " 167 16 1/2" x 6 1/2" 6 1/4" x 1 1/4" 168 16" x 6" " 169 15 1/2" x 5 1/2" " 170 15" x 5" N 171 14" x 4" " 172 16 1/2" x 6 1/2" 6" x 1" 173 16" x 6" " 174 15 1/2" x 5 1/2" " 175 15" x 5" II 176‘ 14" x 4" " 40 Actual Measured Lengths The actual measured lengths from static tap P4 to static taps P5 and P6 are: First fitting: Straight 11.98 feet Takeoff . . . . . . . . 12.69 feet Second fitting: Straight . . . . . . . 6.35 feet Takeoff . . . . . . . . 12.48 feet Third fitting: Straight . . . . . . . 10.56 feet Takeoff . . . . . . . . 6.39 feet CALCULATIONS The obJec tive of the calculations is to develop from the observed data the amount of the total pressure loss from a point in the main duct upstream of the di- viding fitting to a point in the branch duct downstream of the fitting: to express this loss as an equivalent length of branch duct; and finally, by subtraction of the actual length between these two points, to determine the added equivalent length due to the fitting. Briefly, the steps required to do this are: 1. From observed velocity pressure and area of main measuring nozzle calculate total quantity of air flowing (Q4). 2. From total quantity of air flowing and area of main duct at static tap P4 calculate velocity pres— sure at plane of tap (VP4). 3. By addition of calculated velocity pressure and observed static pressure obtain total pressure at static tap P4 (TPA). 4. From observed static pressure P5 and orifice calibration curve determine cfm through straight branch duct (Q5). 5. From Q5 and area of duct at tap P5 calculate the velocity pressure at plane of tap (VP5)' 42 6. By addition of calculated velocity pressure and observed static pressure obtain total pressure at plane of tap P5 (TP5)- 7. 8. 9. By steps similar to 4, 5, and 6 ob- tain total pressure at plane of tap P6 (TP6). 10. By subtraction obtain total pressure losses between planes of taps P4 and P5, and P4 and P6. ‘11. From quantity flowing in branch and equiva- lent branch duct diameter, determine friction loss per 100 feet from friction chart. 12. By dividing total pressure loss (times 100) between planes of static taps by friction loss per 100 feet, obtain equivalent length between planes of taps. 13. By subtraction of actual measured length be- tween planes of static taps from equivalent length be- tween same, obtain added equivalent length due to divid- ing fitting. 14. 15. 16. Repeat steps ll, 12, and 13 for second branch. Actually, a modification of steps 5 and 8 above is necessary, since the values of Q5 and Q6 as obtained in steps 4 and 7 do not sum up to precisely equal Q4 (step 1). It is felt that this is due to inability to read the inclined draft gauges accurately to three places, and that since the orifices are calibrated 43 against the main nozzle to begin with, it is most con- sistent to use the Q4 value as being correct. There- fore, the values of Q5 and Q6 from the calibration curves are added, and Q6 divided by the total to obtain the percent diverted into the takeoff branch. This per- centage of the correct total cfm (Q4) then is a correct- ed quantity of flow through the takeoff branch (Q6c), and by subtraction (Q4 - Q6c) a corrected value of the quantity flowing in the straight branch (Q50) is ob- tained. These two values then are used in steps 5 and 8, and the calculations carried to completion. Following the above outline, a sample calculation appears as follows (see Run 95, line 1): Observed Data: P3 - P2 P4 P5 P6 4.91 .185 .155 .145 1. Q4 = A-V = A'4005 /H = .1962(4oo5) /P§‘:5FE 785.78 /F§‘='FE = 785.78(2.22) 1744 cfm. 2. Q4 = A-4005 /h’= A4:4005 /VF; NF; = Q4/[(A4)(4005)1 = Q4/[(l-111)(4005)] = .OOO225Q4 VP4 = (.OOO225Q4)2 = (.392)2 = .154"H20 44 3o TPI]. = VP4 + SP4 = .154 + .185 = .339"H20 4. From Curve Sheet 2 and P Q 5 .155: 5 = 895 cfm .145: 4a. From Curve Sheet 1 and P6 Q6 = 828 cfm 4b. 616/192,5 + Q6) e 828/1723 = .481 = 48.1% diverted Q6c ==$ Div.(Q4) = .481(1744) = 839 cfm Q = Q4 - Q6c = 1744 839 = 905 cfm 5c 5. NF; -—- QSC/[(A5)(4005)] = Q5c/[-583(4005)] = .000428Q5c 2 2 n VP5 = (.OOO428Q50) = (.387) = .150 H20 5 5 5 7. See 4a. ll 8. ATP—6‘ asc/[(A6)(4005)] = Qgc/[.583(4005)] .000428Q6c (.000428Q6c ll VP6 )2 = (.359)2 = .129"H20 9. TP6 = VP6 + SP6 = .129 + .145 = .274"H2O 10. ll. 12. l3. 14. 15. 16. 45 TPI} "' TP5 = 0339 " e305 TP4 - TP6 = 0339 ‘ .274 .034"H20 .O65"H2O From friction chart (ASHVE GUIDE, 1950), with Q5c a 905 cfm and diameter = 10": Friction loss per 100 feet = .410"H20 Equivalent length (TI?4 - TP5)/(F.L./lOO) x 100 (straight branch) .034/.410 x 100 = 8.29' Added equivalent length = 8.29 - 11.98 = -3.69' (straight branch) From friction chart (ASHVE GUIDE, 1950), with Q6c = 839 cfm and diameter = 10": Friction loss per 100 feet = .360"H 0 2 Equivalent length (‘1?4 - TP6)/(F.L./100) x 100 (takeoff branch) .065/.360 x 100 = 18.06! Added equivalent length = 18.06 - 12.69 = 5.37' (takeoff branch) As indicated in the sample calculation, all of the cal- culations so far as possible are done on a calculator. 46 All operations on the calculator are carried to four significant figures in the intermediate steps, and then the values are rounded back to three places in most cases for recording on the data sheets. It is felt that this is sufficiently accurate for final values since the reading of the manometers at very best can be done to only three places. Values rounded off to four places are carried on the calculator to minimize distortion of the data in multiplying and dividing operations. DISCUSSION Early in the test work it was found that air leakage from the ductwork was sufficient to affect the accuracy of the data being taken. Therefore, all of the Joints in the ducts downstream of the main measuring nozzle are soldered, including the longitudinal Pitts- burgh lock seams. The fittings are provided with gas- keted flange Joints to eliminate leakage and permit changes to be made easily. Every time a new fitting is put in place a check is made to determine the extent of leakage by closing off both branches with blanks in place of the sharp-edged orifices, thus putting the en- tire duct system under high static pressure. If any ap- preciable quantity of air is detected flowing through the main nozzle, the leaks are located and corrected be- fore proceeding with the tests. Similarly, the rubber manometer tubing is checked for leakage periodically to prevent errors in readings from this source. This is easily done by forcing the liquid to the high end of the gauge and clamping off the tubing near the static tap in the duct. If the liquid does not drop, there is no leak in the tubing, stopcock, or connections. As indicated in the Test Procedure, the wet and dry bulb temperatures of the air and the barometer read- 48 ing are recorded for each run. These three items have not been used in this paper since all calculations are based on standard air. They are recorded in the event that such refinement of the data appears necessary or desirable after further study. In the section of the paper on Orifice Calibra- tions it is pointed out that the slope of the calibra- tion curves of the orifices is less than that of the ducts they are used to represent. This means that the equivalent length of duct represented by an orifice is not a constant, but increases with increasing rates of flow. Since the variable from point to point in any given run is the rate of flow through the system, the equivalent length of the branches for the several points of the run will be somewhat different. However, this will not adversely affect the results obtained. The slope of all the orifice calibration curves is the same, and hence the variation of equivalent length with changing rates of flow will be proportionally the same for all orifices. Therefore, the basic function of the orifice plates (which is to vary the proportion of air flowing through the two branches by varying their equiv- alent lengths) is still satisfactorily performed. That this is true is borne out by the fact that the percent of air diverted remains essentially constant throughout a 49 run except for points of obvious experimental error. In looking over the data sheets it will be noted that the last two or three points of a run are frequent- ly completely out of line with the values of the other eight or nine points. This is principally due to the fact that the static pressures observed at these points are of the order of .001 - .005 inches of water, and hence cannot be read very accurately on a 0.5" inclined draft gauge. Those points which are obviously erroneous have not been used in plotting the final curves. On Curve Sheets 10, ll, 12, and 13 in the pocket at the end of the thesis the resistance of the dividing fitting expressed as an added equivalent length in feet of branch duct is plotted against a ratio of average lower velocity to average higher velocity in the branch ducts. Thus the ratio is always less than one, and is either VS/V6 or V6/V5 depending on the respective veloc- ities in the straight branch (V5) and the takeoff branch (V6). Curve Sheets 10 and 11 show the effect on the takeoff branch of the increaser and straight type fit- tings respectively, and Curve Sheets 12 and 13 show the effect on the straight branch of these same fittings. An inspection of the curves for the takeoff branch shows first that there is no significant difference be- tween the two types of fittings tested. It is further 5O evident that the added equivalent length of the takeoff branch due to the dividing fitting is always positive, and is a maximum when the average velocity in the take- off branch is about one-fourth the average velocity in the straight branch. This maximum point represents a condition of a small size takeoff branch of very long equivalent length (about 480') with a very low velocity as compared to the straight branch. An important point to note here is that in actual practice a long equiva- lent length will naturally result in a lower quantity of flow (for a given available pressure for causing flow) and consequent lower velocity, and therefore a bad situ- ation becomes worse. It may also be noted that the losses are not excessive when the average velocities in the two branches are within twenty percent of each other, and are a minimum when the takeoff and straight branches are of equal size and the velocities range from equal to twenty-five percent higher in the takeoff branch. Finally, the curves show that whenever the av- erage velocity in the takeoff branch is higher than that in the straight branch the added equivalent length of the takeoff branch due to the dividing fitting is within the range of 4 to 15 feet. ' Looking next at the curves for the straight branch on Curve Sheets 12 and 13, it is again evident that 51 there is no significant difference between the increaser and straight type fittings. In this case, however, it is seen that the added equivalent length is not always pos- itive; in fact, for straight branch sizes of 10% x 8" and 18" x 8", practically all of the values taken from the curves fall within the range of O to -4 feet. This in- dicates that for these two sizes of the straight branch, the equivalent length from the plane of static tap P4 in the main duct to the plane of static tap P in the 5 straight branch is less than the actual measured dis- tance between the two points. In other words, some transfer of energy from the takeoff branch to the straight branch is taking place to give these negative losses. The third curve on these sheets representing the added equivalent length for a 3" x 8" straight branch has different characteristics. The minimum value here is 8 to 10 feet at a ratio of velocities of very nearly one, and reaches a maximum when the average velocity in the straight branch is about one-fourth that in the take- off branch. This maximum point represents a condition of a small size straight branch with a very long equiva- lent length (about 480') and a very low velocity as com- pared to the takeoff branch. The phenomena which causes this curve to shift from the region of negative added 52 equivalent lengths for a 10%" x 8" straight branch to the positive region with a minimum value of about 10 feet for a 3" x 8" straight branch cannot be explained with the data available at this time. Additional tests should be run using a similar dividing fitting with a straight branch (or perhaps more than one) of an inter- mediate size to determine what happens in this region. From the present curves it appears that there may be a family of curves obtained when the straight branch size is increased in increments from the 3" x 8" size to the 10%"x 8" size. With further increases in size the added equivalent length of the straight branch seems to become almost a constant value of from -2.5 feet to -4.0 feet, as shown by the curves for the 18" x 8" straight branch. CONCLUSIONS From the data and results presented in this paper the following conclusions can be drawn: 1. There is no significant difference in the re- sistance offered to flow by the two types of fittings tested, known as “Increaser" type and "Straight" type. 2. For all conditions of flow, the added equiva- lent length of a takeoff branch due to a dividing fitting is a positive value of 4 feet or more. 3. The maximum added equivalent length of a branch, due to a dividing fitting, exists when the av- erage velocity in the branch is a minimum as compared to the average velocity in the other branch. This holds true for both the takeoff and straight branches. 4. The minimum added equivalent length of a branch, due to a dividing fitting, exists when the ratio of the average velocity.in one branch to the average ve- locity in the other branch (taken so the ratio is less than one) is within the range 0.85 - 1.0. Within these limits, the added equivalent length of the straight branch varies from -4 to 11 feet, and that of the take- off branch varies from 4 to 15 feet. 54 5. For the usual condition encountered in prac- tice where the straight branch is actually a continua- tion of the main in reduced size, and hence usually is at least equal to the takeoff branch in size, the added equivalent length of the straight branch is negative, ranging from 0 to -4 feet. 6. For the usual condition mentioned in 5 above, the added equivalent length of the takeoff branch is about 10 feet if the average velocity in the takeoff branch is 80% or more of the average velocity in the straight branch. 7. A condition of a small branch of long equiva- lent length, with a low velocity in the branch, should be avoided. Under these conditions the added equivalent length of the branch due to the dividing fitting may be- come as much as 112 feet for the straight branch and 143 feet for the takeoff branch. 8. In any layout where the flow may be critical, the ratio of velocities in the branches of a dividing fitting should be checked and held as close to unity as possible. 9. This research should be continued to deter- mine whether the third design of fitting, a "Decreaser" 55 type, shows different characteristics from the present two fittings. In addition, it is desirable to extend the present data on the small (3" x 8") branches by mak- ing up orifices smaller than the 14" x 4" for the large branch (18" x 8") to determine what happens to the added equivalent length of this small branch when its velocity exceeds the velocity in the large branch. DATA SHEETS Data sheets lOA-85A following record the recalcu- lation of added equivalent lengths for the increaser type fittings. Data for these calculations were taken from the thesis "Friction Equivalents of Take-offs in Rectan- gular Ducts" by James Harold Yohn, Michigan State Col- lege, 1950. Data sheets 87-176 and 95A-l76A record the origi- nal data and all of the intermediate and final calcu- lated values for the straight type fittings as tested by the author. /04 aura): Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLonol Ola-aven{ { Date 19 _ 7' ' . ~ ‘ --- —‘— H i I I . ) 1| {T'Ieafi/IT' Tfi-zfigpp ) j I a ' 441’” Apnea liéaizéxixao 52.4. Aer-.4. Ea.4._ EQ.D._ély/_&;€Qié.fiéfié-_.E¢L.1 172.7").352 7.10 ‘ /o.6’ -3.So S.8"s.2.b'o 17.3: 6./’ mm: 2. I .1. 3/0 5.18 -3.62. .23 o, 3.1/0 H.100 3; 7 $.23? ,. 6.70 .1 +3.70 2 .180 37.45. . 93.35,. 4. 7.2.74— 7.2(.l 4.351. .140 4.7.3: 721.7: 5; 4.130 _ (.../Si “64: .093 32.25 24.1: 61 ;.08'5 . 8244: -2.16 .065 504% {34:50. 7: .;.o49 8.16 . €1.44 .o+o 27.50 431.40 8, 1.035 5.73.; -+.88 .. 0:30 33.00 1.1.1.70, 9: .: .o:¢ 3.34.4 -2.26 . 020 28.00 .21. 9o 10. . 01510.00. ~0-bo .013 26.1.5? game; 111 1.0065 15.37: . 4.77 7 .907: 22.6: 314.5: 12./2.741.009” I&3£.Io.6’ 7.74. 5.3". - —- . é./ ’! '- 131 l. _ I 4 14, 1 . 15: , i 167‘ ; i 17) ‘ i 18?. .7 19} .i I 20? .l I 21: J e 22%. ii I 237 ' _ ; 24L - . t 12.5. 1111:-.. 11A NUT-232 Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLO‘o‘ Observers{ { Date 19 _ [ .7 l .S're 41 1117' 774% E 0 FF :5; ADDED 4005‘” z;5&D. ARI/00.150. L.. 3567'. l. . 3 30.4.. - __ 1 5Q._P.-QP/100 -58. éxfliflénéa- 4—.-- _ _ 1‘/7..‘7".1.370 0.49 10.0’*6€//. 25,?” .150 4940: 0,/’ 753.5; 24 ...350 4.5! , «1.09. .130 46.15 40.0: 3) ....250 . 7.2.! _. 73.39 . -100 44.00. L 37.90 4. .190 ._ 0.98 -¢.0.2 -040 ‘ 31.10 aS‘.0o 5I .150 6.15" “4:4—5 .052. 50.00 .43.?0 6. ...082 10.4.: ~01: .036 47.2.0 41.10 7i .o¢7 10.20 ‘0.¢0 .021 47.65' .41.5'§ 8; .031 10.00 ,‘0.60 -016 95.75 37.65 9i .020 10.00 -o.20 ..01/ 354.55 7 48.4: 10! ..013 ; 7.07 ~19: . -0002 4—3.5: 57.4.! 11'. ..-10032. 17.25,. 8.05” '— "' ‘ — _. 1212.74. -- — 104’ '~ 5.8" - - 0.1’ '— 13} 14) 15) 16} 17! 18'. ...: 20? 211 22: 231; 24l -. --.._.._2& __1711,:__:I__l_:;_ .1. :-- _ _ “LIT-232 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Sheet I‘m—lai— RunningLogof DWI I Date 19— I {re/usfi—r' TAKEOPF 0' . .4000» 1100212 4561-2128000 51L- ACLL. Ea.i,_._____5_Q.e_Qx.A_E/1003é0.t.. Ira-1.- 60.1.- 1.1.2.7".,.400 . 0.:5'100’ -7.3§ .5.8" .100 67.00 0.1’ 00.70 2. .330 0.07. —a.7a. .031: 00.71 57.30 3. I I..:30 ._8’.0¢; fitsé -058 75.80 61.70 4 -180 7.78 . €2.82. -04: . 71.10 1.5.00 5 .130 7.07 . --:2.71 .030 1.3.70 .5180 6. .072~ 7.70 -1.70 .024 73.7: 00.8: 7 :.05‘1 7.84 —2.70 .014- 01.4a T5930 8 -057 8.1] ‘ -:I.¢‘i 1.01/ $6.37 .5027 9. 02¢ angst +2.20 -007: 50.02 7 44.02 10 . -010 0.88 73.72. -0047 55.30 J47.:20 1112.7” ...007 5.72 10.6’ 4.8.? 528” - “' 6.1’ "" 12 13_ 14 15 16 17 18 19. 20- 21. 22. . 23 j 24 ,1 0.5.1.1.... _ 1 Remarks: ISA- HLIY-zaz Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Runninglmol Observen{ { Date 19 _ I I ’ I I I I I I I I II 1 I I STflA/éHT’ Tfixégpp 1 Appép IIADDED MMflL/BLLIQA __fiaJl... 011120.6012 118.219 €00.11__ L 1.12. 7" .400 0. 00 I 1049’ ‘1‘60. 5'. 8", .058 132.40 6. I I.1/A 50:. 2I ..3¢0 .0.§§I “£051 ..04-8’ 128.10 ”3.005 3I I .200 7.70 r ..-2.70 . -038 123.70. 1122.307 4': [ :.200 7:00 I .-3060. I «02? 35.30 I 79070: 5: ..140 7.14—I “3.40 -021 114.25" Imam: 6; i1.07.1 9 8.1: 54.7: I.01‘/- 125.00 I11X.70 7! L050: -' I , —- . -008: -- . I -- I 8i ..037 , $.70i -4.70 I.0ob 15.00 I 8’50? I I I 9; L024, 8.7:, -I.8.<:'. "‘ "' I" 10; I , a 016 . S—OGZI -4378 . _— —- I _— 11127” ..007 . 4.44.10.6’ .1./0 0.8" - - 0.1’ I -' 12} I . I . I 13I I I I 14: -.I I 15. ‘ i 17; .L I. I 18 I I 1 ISI I -I I zoI I I . 7 21' I I I 24' I .. ,. I 2.3: _ 14::21121~ U I 2—: a- _-_ -- I.--,_ _4. _ ram-232 Sheet No, 1 4A MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunnlnflLoflof om{ { Date 19 _ I I 57721916111" I 721000;; 6 . ADDED I140000 .I.I:QQ.LAI/100_LEQ.LL_A§KL.M€Q.LJ,_-méa .005/1110 écsLL. AELQLEQOLL_____ 1 12.7"..340 , 5.32.10.0’ “1.72 5.5"I.410 19.7: 0.1’ ;1a.0.s‘. 2. 1.300 .4.00 51.00 . .2290 23.10 I17.00, 3 ...330 . 4.78 _ I .-—5.8.2 -240 01.2: , 115315.. 4 .. .170 . 5.88 “A72. .180 22.00 ; 16./0 . 5 .. .130 5.38 -$.:2:>. . -130 441.52 I 1534-2 6 ...080 $.00, .-$.40I . .080 2.3.75 I17.b§1 7 :.048 .1..2.<:‘ «1.3: .042. 00.9: I043; 8 5037 . 821/ -:2.47 .035‘ 2.8.57 I22.47. 9 :,.031 20.90 10.30. -019 47.3: ,‘HJS’ 10 .1-0/3 .30.?! 0.0.1: -012. 40.00 153.90 11. 12.7" 1.000: 47.7.0:10.6' 37.10. 5.8” .0052: 89.10 0.1’ 03.00 12 " I 13 I 14, I 15 I 16 I I 17 l 18. I 19. ,. E 20 I 21 I. I 22 I I 23 I ., I .i 24. I I ~._2§.._.____.i.: :; _ LL: __ _- I : Remarks: “LIT-232 Sheet No. lfé MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLo‘of OW{ I Date 19 _ I . I I I : I , I I SDQAIGHT" Q ngeoFF I Masai ‘ Appep WQWL 6L4“... éthfi/IELEA,A.+AEL.4Lm._ _. 1.12 7" I .380' 5.53 10.6' ; ‘53071 5,8” I ./80 37.20 6.1’ 31.x!) 2 l .520 . 5.94 .—+.e(. ../60 36.25 30.1: 3 I “.250 6.640; I .'4=2o ..130 39%;; 48.5.1. 4. I .-1on 7.225 ,-3.32 .07.; 37.2: 31.1: 5 130 : 6.91 l :5.“ .070 37.1: 31.0.! 6 ..08? I 7.87 -:I.73 , .044 55%: 32.55 7 . 046 4.5.? .-¢.08 .024 37.47 31.37 8 {.027 L 5.1:. +3.3: .018 38.89 3.7.77 9. 022. ; 7.2.3. :33: .012 50.82. 44.72 10. . 013 IN. 00: $.60 .0063 46.0! 37.957. . 5.9" *- "' "‘ 11 1:7.7‘ .aobs‘l 10.70 10. L’ I I I I 16; I. i H :9 ' 20I 4 ..4 .--. A 4 - M.— 4—.‘a—U. _ +01/O Sheet No._Lé.L_ HUT-232 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Remarks: RunningLocof om{ { Date 19— I Jremgg r TALE-0F; 5 4005.0 4005-0 2 fifi. 431/00 éq.L. A4714. €941“ "éJphommfigng Maghégg‘ 1 12.7". .380 0.03.10.6’ 4.5:. 5.8” .IIO ,. (01.80 (..I’ 01.70 2 -320 0.87 “3.73 I.Ios‘ 53.30 47.20. 3 -200 . 7.09 _ ~23! .081 00.97 54.87 4. ..180 (”fl/r -3.7b -000 55200 48.90. 5 -130 4.92., "3.68 -044 512.2: 46.15 6 ...086 (.98. ~52“. ..027 5.5.1? ,4-9.0‘i 7 .04—8 0.25 -4.35‘ .0/7 $2.70 46.80. 8 .058 7.70 -:I.70 .013 $4.70 50.00 9 ...025 5.22 128 ,.0083 53.00 40.70 10 . -014 4.28. ~03: ‘ -- “" - 1112.7"...0002. 3.22.10.0’.-7.58 5.8". - —— 0.1’ - 12 I ‘ 13, I I4 I 15, 16: 17 . 18‘ I _ 19,I 7 20. 21 22 I 234 .L 24. I 17A- uur-zaz Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLogof DWI I Date 19 _ II I I I I I I I I ' $02 A 1001' 7741:5007: II II I I ADDEDI 140050 _1-Ea.a.Ae[100__0._4L 14ch 00.1.0- 00.0 02/100204... [ELL 0:0. 4... _____ 1 1.? 7'“ .400 I 72: 10 6’ -3.a:I . 5.8" .070 . 70.80 '9070 _ 2 I .35'0 I7o43! I-3.17 I ..003 72.10 I 86.00 3 . ...-200 I8.08I _1-2.s.1..i _. 048’ , 7:.70 I . 87.80 _ 4 ..170 . II.7.70 . :-:2.70 I ..038 .i 72.10 I 86.00 5 .140 10.00I ‘0200I 2' 027 ‘ 72.60 IJLSO, 6 ..092. I 7.78 : +0.82, P.017 I 74.80 88.70. 7 ..05’4— .11./OI g 0.5‘0I L011 . 75200 I 78.70. 8 1.04] I12./7I I [.59 I I408: 74.10 I!8.00 9. . 02.4. 8.34. .7426 I ,.0054 74:10, I68.00. 10. I .01: 10.00‘I I-o./o* I . . -' — I "‘ I 11. I2.7"I,.000.¢.12.:0I10.6’I /.70I 5'3". — —" (..I' I "' 12. I I . , 7 I I 13, I . I ,. I I ”I II : L I I 15 II - I I I I 16 II I I 17I I: I I I 18I. I I I . 19I II . : .’ _ 201 z: ; I I . I - 21I I I I I I 22. I - . I I I ......m Sheet No. /XA MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLo‘of omI I .... .. _ I I I I 57-: 4.604 r 7‘74KEo/rr: : 6 I I A0050 040050 I W 50.1.. Ac 71.45904 . 5509.0449023040. 5524.050410- 1 12.7” .320 - 6.56 10.0’ -%»+ 5.8".460 17.38 (..I’ ://.28. 2 I ...:180 . 517.7. -¢.88 0.400 17.50 , ”.40. 3. I ...220 .. 6.56 . .-%a¢. .310 75.38 i12.:28’ 4 -160 0.87 . #372. .230 18.67 £12.57. 5 .120 4.00 -a.94 400 00.00 I/3.‘io 6 -077 0.47 “All .//0 17.08 72.78. 7 -046 6.5.2 “£08 .001 “4:20 18./0 8 .052. . 6.25’ 4.4.3: .040 .1080 ,/7.70. 9. -02.! 71.4.7 0.8.1. .027..13.7o Imao. 10. I . 0.3 70.00 .-o.bo I .0/6 .1300 , I /7. 00 11. 12.7" .000. _ "— 10.6’ 7" I .£.8" -0057 31.60 (..II 57.5.50. 12 ' I 137 I45 15‘ I 16I I 17I I ISI 19. , . 20; ; .21; I 2& . ‘24I .. : 25: I __-... _- _L _ I_ nut-232 SM No. I 9A MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Running Log of , l9 _ I “‘T“* I "V‘ l I Thmeocp ADDED I I40)!» 5:11“; Egg DAp/LQngL. Act; 51L ,‘3.S4-, 5.8’" ..2 :0 45.60 (..I I #150. 2I .310 , 6.77I “3.83I .2/0 27.6] I2/.Sl. 3I 4.220. 7.73I ”2.81. .170 44.70 ”3.00,. 4] -../8‘0 . 7.73: 32.32,, :.130 25.59 I/mr. 5: .130 I (..ISI "4=¢§I .090 £6.66 Izmré. 6I ..081 I Ké‘lI 3/36 . ..05613037 ,25427. 7I .044 . 8.34. ~37.sz :.oasl “#5 3.70.55 8I -056 T 7.75 I .—0.87‘ .02¢ .374! 323.0: 9I .03.: I/ojéI ~ 0.26. .. 0/6: 30.00 23.90. MI .013 I10. 77' 0.17 .010 1:22.00 1539a 11‘12'1" .0063 14.28 10 (9” 3.1.3 5.8". — -"' (0.! "' _ 12,. . 13.I . 14.I 15,I II II I: II I n H I I Sheet NIL—1.0L MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLogof °m{ - { Date . 19 _ __ 3 ' I I ’ ” — “Lg": ":IJIWLP_ n , ; I I I . I I I I I 57"?4160‘7" fAKéoFx—‘v' I I , , I I 51 ' ADDED I IADlx—‘D , 2 Eg. D. AP[/00 51L- .ACTL 551 A. EhALAJ/Lméa 4. flog-1'4 551 L. ‘ 1 12.7”,I..360 I Mali 10.4. ’;-3.I.4.I . 5.2". .1190 Ian/o. (..l’ I32.0o. 2, I‘ I.330 ' (...:(aI 5-64.04 I ‘ f./¢0 40.00 fl 133.90 3. I440 7.04—I :-3.:éf -../10 38.1! £32.08- 4. II./70 I 7.90 I 57:70; -05.: 49.255 I340: 5I./5019.23 -/..37 ' . 058 4/.4-0 35.30, 6 II.08’S‘ 9.4—2. -I./8’ -037 38.50. 32.910 7. 7504-7 /0.20. —a.4—0 . .023 +1.30 595.20, 8 II.035' 10.00. 70.60 . -0/é I40.60 34.50 9 I.021I 3.641 I-/.9b ? .0// 37.21; ISL/5'. 10. II . 01.5 I /0.00 I 32.60 i .006]. 444.2: 38.15" 11} i‘..00é8i/0..19,/0.(p' ‘—0.31 I 3"i —" , "" "" 131 I MI .I. I 15I . I . . 165 .I.; 7 I _ 17: I , 18I I. , I 19! I I .zoI :1 : I .2 I .I. 2: ..I ' 2:1 I .25.... ,_ I_:__._:: I... L NATL: _ A uuf-ZJ: Sheet I‘m—2&— MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Running Lo. of S'T/efl/Gflr 6 ; ADDED 2 gm). Alf/loo 56L; A6714._E.g_._4.__._ 112,7”.370 7.84 /0.6' -.?.7b 2 1.350 . 7.88 . -.7.71 3 __.Aba Y.“ . _'.?./4 4 .190 . 2.43 ,. ‘2./7. 5 .140 8.57 -a.oa 6 .086 , 7.30 -/.30 7 .0116 10.86 0.16 8 .037 /o.8o 0.2.0 9 .034 ”.25 . 0.6:: 10. ..015' 4.65. +3.94 11 12.7" .0067 7.46 10.6' —3./4 12 13 14 15 16 17 18 19. 20. 21 22 23 24 Zé *7 41,. :.T __ flKEoFF 491251: -.QLAMaéQL. Aer-A 594.91.” 5.3" .095 47.77 (04' 01.17. .083 66.2: ‘ $0.19 ..063 71.40 ‘e§.30, .04—8 (96.6: 50.55 .059 (91.55 $49.45 .022 7!.00 68.90 1.014 (97.82. wan .0// (90.85 54.7: .aozas (98.2! lam/5'. 5'18" _ — 6." , _— nut-23: Sheet No. 223 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLonof Obcavm{ { Date 19 _ ”*2 _i‘ T“ W“ ’ “T“ “‘ ___-_._1__,- *“r—"w Cl ‘ ‘ I 5T£AISHT “TA/<5 0FF 5 ; ADDED Appep MAMML. E51. L. 5Q . DLLOI/zog. ELL. _&c_r.4-1-§g._4.41___ 1. /2.7".7.5/0 .1. 5.8! ‘ /0.é' +4.7? 5.8" .030 15.37 II . 9.27 2 .;.a70 . 7.04 ,. -3.S'é 3 .560 ./$./7 7.07 3 1.2001531? “AH .440 11:.44 .1 7.3:. 4 3/00 1 6.25. «1935‘. .310 mm V0.06 5, ../40 5.7! ' “£87 ‘ .230 “.7: 20.8: 6 .4072 I 4.9:. 29.45] I.Iéo 14.38 g 8.28 7 -042 . 4.76 I —s.8’¢ ' .081 23.4.: 17.3: 8 -038 . 4.84» i “3.76 . .003 £5.22. 17.71 9 .02.: i 6.57 rigs. .040 20.73 .z‘hos 10. ...013 11.54.] V 0.94. .026 18.4; 72.35 1112.7".00¢8./¢.(p7/0.6' 4.07 5.8"..0/51 [0.00 4.1’ . 3.70. 12, ' , 13_ 14 15‘ 16 17 18. 19 20 . 21 .. . ‘ 22. ‘ 23, i 24. ,1 _! . 451 i: _L M _L - CELL: - 0.. 1 - - Sheet I‘m—22L. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Runningbonol Observeu{ { Date 19 _ ' I I R I I I I I I I I 57%;»er I Tfi-xég/ZF - I I 40050 IAbpe'p _memgflwflgflfid mm L 46114.. Ea 4. 1 12.7"...330 4.97 I 10 4’ -3.43I 5. 8". .820 20.44 4.1' Ixsés‘l 2 II.300 :4.33I r407. .I.300 17.33 I323 3.‘ I..:Iao I 6.94 I ‘3.641 I050 20.42. I 14.32. 4 '.180 I4.” I I-sétl‘iI I I70 02.8: I142: 5, .430 I 7.69 I I an?! I './30 21.52 I lso¢a 6 I.067 : 835' I--/.6.S'I I 078 23.08 14...?! 7. I 046 l. $2.1I F4008; 1.0‘l—8 00.83. 15971 8, .0as'I 8.84 r074 Loss I828.18. 00.08.. 9. .022 9. :5'I l-/.0s . I. 02.0 28.50. 1:12.404. 10I I201: I 8.44 I I-2./¢ I ‘ I.0/3 ,3J.¢3 3.1.33. 11I12.7"I_.0.0s . 8.73 I /0.(."-1.47; 5.8"I - ‘ — ‘ 4.4' I ‘— 121 II 1 I ‘ i I I 134' I I I ; I I MI I _I i I I I 15. I I I I I I 16. I, I I I I ‘ I 17 I I I . I - 18. I I I I I I 19 I I I I I I ..I ; I I ; I I I _I . ' I I ZJI I. 1 I I I I :3. I I I 1 I I ...1: :...LL _L.-...L.: ELL. __ I" __- 2.1.1:- I - - . I-__ Sheet N0._afl___ MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Runningbogof DWI I Date .19 _ — TI . — I _-—I— WI _ "I” _ _ ”z z I I I I I 1 I I II I I I I II 5T£A%HT ‘rkggopp I 6 II ; A0050 I I Iflbbsp lEQDfldP/zm 50.4.. km. 5.3.4.2- 50.0.-0_E@Lt30_4.&.c.n4.§0¢..fla 1.12.7" II.330 4.40 I 10.4'I-344I I 5.8" .210 28.00 (..I, 322.70 2. Ina/0 -: é.4-§I ;"I‘./§; .200 27.00 I20.70 3 .' -230 , 7.82.-I I 92.78 I I.I.S'O 28.00 I-.1/.70.. 4 I .I./80 ‘ 8.33 I 3-2.27I ..120 .29./0 I23.00. 55 I.Iso I 9.4(aI ~3.I4I .083 I27.70 I2/.éo 6‘ I..: I 8.241 4.3... .053 ...-I. .../0. 7, II.04—6 I/0.8é I I 0.2(aI ..030 .3133 27.23. 8. “035’ I 8.57I .-;z.03 ;.025 I32.6O 20.50 9. I.023 I 7.8>I I-2.78 I .015’ I3/.30. 23.20 10. I I .015’ I 8.647 I I’I.94' .009! 36.5'0 30.40. 11 12.7".I.007/.5.63I/0.(.'."+.77. . 9.8". -' 1 -- 4.1’ . -- 12. I . I . 13I II I . 14 I I 15 I I I 16. ‘ . . 11 I ,: I 18I I: I. 19 I i I 20 II : I . II I I I ‘ . I II. ,JII.__-_:.I___,__.L.__..__I-__-:I .;:-I____..-_ - _ V—lt-J Vi—‘O u—a v—a .0319 141 15} 16,| 17fi _ELE .53 .383 HUT-232 Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLogo! °m{l { Date 19 _ .I ——‘ :— —*~— * " _ * ‘7‘— ‘ 4—“ l: J ‘ 5714/446/5‘7‘ TfizéafiF 6 l ,. Awe» Anew Z EQD. :TAPlxoo 5&4. ALIA. 5QJ¢H EMEAPMQ 561$. 4:711. Egg” 1 12.7”[35'0 i 5.001104/ -2,é0. 5.8”...125' 945.40. éJ’ . 40.30: I .320 3.7:. -/.8’§ 4/20 46.60 40.5‘0 + L4250. 8380‘ -1080 1.093 46:40 43:30 ’:/?0 . 804'; 3.2013 9063 50000 ‘.45.70 ”/30 ./0.00I fixedw .050 943.” 41.70 1 7’08! 7.?!, --.7.6S’, ..032 50.00 443.70 4.03:. £57 -:z.03 .913 45.80 27.70 1.023, 7.20 -/,¢o .ao9 47.7: 41.9! ?.o/¢ 54.28 -A.5:7 I775 I106! 10: 12.7”I - -- . 106’; - :.8" L012. .583. (a. 1 ‘027 III I i ; I 12I I. I I 13I I I I Hi I I I . 15I I .' I I 16; I I I I HI I I i I 18I II I . I I 19, I I I ad, I I f I 213 , . . I 22' I .I I i :25: L. I .-._.L._.:_ -.— ___._L L .' _ __- - --I- * Sheet N.._£Ii6__ MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunnlngLocol OWI { Date 19 _ “__ '7“ I ’ I.__ I ‘:"’"”‘"::'T‘" A I I 7 — I I . I : I II I I I 5711416 H» T“ I fizepffi I a I : I I o'I II I 401751: ' I {400619 W&QL_&0LCL___ée-D. 05/100 50.1. 14an.4500 . I I . 141:2.7" I070. 4.81 10.0’ -:.79I 5.8" I .1110 13.90 4.1’ . 7.30 . I 4.2.10: 0.8er -3.7S’ I ;‘ 260 071.01? 14.1.? 41 4.12.0- 6.64. : 13.999 .150 4 18.10:. 12.5: 5II I .077 7.77 . -2.8/ ’ .100 [8.00 11.70. 6. L044 4.07 +1.71 ‘ .000 21.1.4 15.5% 7I Iaza 11.00 I 405% -037 24.30 I18.2.0A 8; I.023 I 0.3.7.t “£08. -030 17.31 13.2.; 9I I .I.013 . 9.2.5 I +1.57. , ..014 15:00 . 3.70 _ _ 10312.7" .I.0053I20.7:110.6’ .. 10.15. 5.8" .000! 23.0: (..1' ,16.9( 11I ‘ * 12I I I II x 13.? _ ,- W i . 15.? .1 I 16I I. ' ‘ . I . 17: .19I I . I ‘ 20'. ,. I I .2]; I I I 22I I f I 231 _._I * , fizt-—~ :———__.:—_-4 ~_——- -t—_— 7 ~ ~ A I sum rim—2.2L— Remarks: I 35:. a”. 1.44:2..— —.1‘——--~-—_—.L— __ -_ -.._~-_-.._:I _ MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLoflo! om{ { Date 19 _ I ~. I I 57'2/9/6‘l-f7‘ 725550;): : - , 16005.0 H0050 554-11 AP/zw 50.4. 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I I035 88.1.0, 82.80 ..190 44.70-. 111.80 5I ...025 134100 "18.20,I .140 23.60 I/"7o . 5; I.017 182.30 70.70. .090 23.40. 10.50 7I [.011 {072.70 0030, @053 01.50 11.00 8; I.oo75'.46.66, 00.81., .037 01.60, . 8.70 91 I ‘- -" -" .026 23.10 10.20 10I I I "' "" . —' -015" 20.00 , 7.10 11I 5.8",f "' "" ‘ 518'. ‘" 12.7".007/ 14.10 12.7'. 1.20 12I ' ' 13I 1 14‘I .1 15 16I 17T 18.; 19I 20: '. 211$ ', 22‘. 2PI 24': 0.2.1 - tI'LZLLTIL: - 0 - -0 0.. _ - Remarks: “LIT-232 Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE 4314 Remarks: Runningbo‘ol 0mmI I Date 19— I ; I 5712 A16 #‘T‘ TAKEoFF 5 40050 4005’ 250.0. 00110000000710. 50L. 50-0.-013100_€Q¢LA_ I I 22 IL I I I 23 II . I 24 I I I J ‘ Qfig ,_:\ IT * ‘ “ ‘ I \VILTT:___~_I*,____+ B; L __ __.- _ ;_,— _ M LIT-232 70A Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLo'of 0W{ { Date . 19 _ I T WM” JrgAfl-r 'THKELOFF .5 140000 40050 _WQLWLAEQL.Q_ L _é-QLQiAfi/ma 50.- 4-- IiéLé-Lfihlb 1. 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I -0173. 11.56 -0.24. .013714460 : 1J0 11I 10" .0068’19‘JI 113' 2.71 10" .006 13.33 13.21. 0.13 12I - ' 13‘ MI 15; 16I 17L 181' 19: 20. 21I 22' 23. 24. 7214 oo- ._ io'r—_V_ I Remarks: :L’r—T‘.’—T ' ‘t HLIT-232 Shut N0. 734 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Runningbocof Observen{ { Date 19 _ I ’ . 57'41416111" “7745550031: I 6 140050 140050 W «1.0.00.0. Ea- LAWLfQLL 1 10” ‘ 57o . 8.21. 11.8" 15.57 ‘ 10” .31.: 10.441132’ '32:! 3. 3.20.0 .. 8.851 .-2.7.:’ :- ..247 17.00 .. 3.20 . 4. "/98 7909 - .‘207’ elf: [6076 3051' 6. -072 ,. 8.70 —5.10‘ .086 17.74 . 4.24. 7 3.0:] . 7.80 ' “2.00 .0517: 142/? _ 0.94 8 5037 767‘ ~74.” .030 10.47 3.44 . I 9. .027 7.41 -‘I‘«59 .0274 20.83. £7.63 . 10 I ..01r3 1.7.07. I 1.27. .014! 01.713. I 0.25 - 11 IO” ..0000 151:: 11.6” 3.3:. 10” -0057107: 132’. 3,7: 12 ~ I 13 ’. 14 ' 15 16 17 18 19 20 21. 22 - 23. 24. - R1:- f7::.71’.;::“:- Tl" l _ " 7 - ‘ 7 7— 1’ ' fi—t— — .7, 7"“ 7 7 2‘, \\\\\:\-\‘; 5......740 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLogo! 0W”{ I Date 19 _ I I I I I I I I 57721416047" I I “72.650197: I I flowp‘ I I :40050 .0. 05/110 50.4.ficr0. 5.9.4; 502 £00050. 1_. Acz'._.l. 15ng I ‘ I I . 1 10" .‘113/5’. 7.30. 1/.8’.-4.5'0 I 10” .450 10. SI 13. a’I 3.31 2 I -I. .281 . 7.4-7. -453i 1 I370 77.8% I “£64 I. 3i. ..,.230, 3-18 l I ’3.0.2.I .. ...270 17.57. I 4.57 I 4. I .11.: 1.07 X 75.1.3 I I.21I 13.01 . I 4.31 5 .I.”! . 0.73 ; -s.0.7.I . .150 13.67 I 5.47 . 5Q I ..078 7.07 ; -4.1/ I , w I'M” 17.00 . I 5.80 ._ 7 g..0¢: 1.177 —2.71 i 5.01.0 16.67 . I 3.44 . 8. 54510:. 3.7., , -3.10 I .0455'1 2.2.77 I 7.77 9 I024 . 8.33 I .-3.47 I . I.027 1:10.07 I 7.47 10.. ...0/24. 7.06 I I‘3.7¢ . I . 017ZI 11.03 I'/ 5‘7 ._ 11, 10" ...0057,.3.51 , 107’ .447. 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I 7.65 . 11. lo” "" I ‘— .1 //.8’ ._ ‘— Io” .oo?1. xo.i7 /3.2’.I~2.33.. 12 g I 13 I -I. 14 I 15_ f 16. ! 17_ i 18 g 19. .1 I 20 I 21~ ..I 22 i 23 I 24 . q azifimyv l 4—- E L__ ”L--- 3—1. __.__:.T_—__-_-_IL : MLITo232 Sheet No. 74A MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunningLoaof Observers { Date 19— J'rflamggr flzgopfi' o' A0950 A0050 _lmAlfi’nchEd __L_.__A6f-'4 51.2.4. -.-—__EQ.D- dflmfté. Acn4-5,_g 1- /0” .520 10.19 ‘ 11.8’. -1.1.1; . 10” .25? 17.4-4— 13.2’ .4424. 2 1 ...44011.1¢. ‘0-66. .224. 16.81 3.6/ 3. 134’s. [’00] -0079 .e ’80 [6067 3047 4. -253 11.07 - .-0.73 .130 15.922..- 3.72.. 5 .19: 10.27 -1.:31 .042. 19.48 5.21 6 ..119 11.027~ -o.7x .000 30.00 4.80 7 ..071 7.34 -1.9¢‘ .036 16.67 ~ 3.41 8 UNI-9.: l2./.1 0032, .026 ’5'58 070/8 9. .033 12./:... . 0.3.1 .013 16.67 5.” 10 I -0177 //~30. —o.,ra_. 00/0 .20.00 I6080 :1 ’0” 3008?. M36. 11.8” 70.4.4. IO" .0047. 21.7.? 13.2’. 8.03 2 13 14 15 16. 17 18. 19 20 21 22 23 24 \‘L 4. -.~r_i __.. ...__ _ ,- _ _-_:;’ ~1- “LIT-232 18A Sheet Na- MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Running Log 0! 0W{ { Date 19 _ I 517214 IGHT’ 77H: 0F: . {140060 0 4006.0 WA. 44121.. 00.1. 50.0,_41y110_5Mz:.4.£0. 1.-- __ 1 10” .440 is: 11.8’ ~22: 10" .300 10.07 13.23347 2 .580 /0.00 -l.80 .260 /0.S'¢ 3.354 3 .30: 10.16 “1.64 .208 18.2.7 ,s'.o7 4 ...325'1031 -/.5'8 .158 17.07 : 3.89 , 5 .164 10.37 -1.4a .113 18.51 .5238 6 .108 11.11 ~00? .07! 18.1.7 $5.47 7 ...060 10.00 -/180 .041: 17.28 ~ 6.08 8 .04: 11.11 -0.69 .031 17.3: i (.15 9. .029 10.311 -1.¢4 .031 M29 .007 10 I .0186! 5.43. -6.37 .0127 15.7: 72.52:" 11; 10" -0002. 14.13 11.3' 4.53 ’0" .005-'1 3.8! ’3'3'1‘7335' 13 14 15 16' 17 18 19 2o. 21. 22. 23 24; fiVZN 79.4 vm-m Sheet Na. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE RunnlncLogot Oheeweu< { Date 19 _ ..=___.:_. 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AP/IOO%EQ.L.14(.T.'L. E514. 50. D. LIP/100 501.. 46774515194. 1 12.7" .040 ? 9.07 10.50’ -1.99. 5.2” .121 00.33. 0.39’!A,53.94 2 .323. 9.29 -1.27 .110 04.55 ‘5210 3 . ..75‘0 110.?0 , 0.24. -090 53.99. . {52.50 4 .18’8 . 9.04 -/.S:. .000 00.01 $54.32. 5 .138. 9.70 —1.30 .0419 40.42! {54.03 6 197.0029 -0.:27 .051 (2.00 [51.07 7 .0429‘ 7.20 -0.36 .0171 46.57 90.12. 8 .030 ‘ 9.33 -0.23 .0127 $5.12: 445.73 9 -0212 4.59 -.€'.97 .0077 49.3: #4196. 10 ...013 ‘ 7.6.7 -.?.X7 _ _ , i ‘— 11 12.7" .0002. — 10.50’ — 5.9" — — 0.39" _— 12 ~ ‘ ‘ 13 14 15 16 17 18 19 20 21. . 22 23 24. _25, ##1...__:__ -1.—___ _-- Efi___ :__-_ _L _- _A *2 z ._.__t :; MLIT~232 amumorw 3"x 0” 7:0. Q££EZCES'1£”K 55” in; g é”x I” I’léL Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE 7'70. ":,— L" _ ..1" -_ “if?” _'L:_ “j"— :..T' Date 5-5107". / 19 £0 77075 , 7.3-5. P0 P;- P; 3 7.5”" 319.6. Ills-P; 04 0: <90 . 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I'd... ll‘la Sheet No- [’7QA MLlT-232 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Remarks: Running Log of L 1 ‘ - (#0; ; 43,1.W3 Observen{ . { Date 19 _ I 1 ‘ ! 57731416147" 9 770150;.6 i L 6 140060 b40030 2 Eq. D. 05/100 'EQ.L. 4:110" EQ.L. EQ.D. AP/Ioo 51.4..14-CTZAJTEQL. 1 12.7" .282. 9.57 /0.5'6’-0.99 .518” .200 33:0 039527.11 2 .232. 9.19 -2.37 .109 31.95", 525.50 3 .120 9.44 -/./2 .131 31.30? 21491 4 .130 9.23 —1.3.3 .093 33.33. 120.94 5 .080 9.30 -1.20 .000 31.07 1:292? 6 .042 10.42‘ «9.14 .033 33.331 ‘2694 7 13:11.43. 0.87 .025” 32.00 2526/ 8 .02201327 2.71 .010 31.2: 24.80 9 .0123 7.13 , -2.43 .0094 30.9: 24.510, 10 12.7” — "' 1050’ — 5.8" —" — 0.39’; ‘— 11 1 12 13 14 15 16 17 18 19 20 21 22 23 _ Z4 . _-_-25 — _- —+ — — , i u) NOZZLE HRL’? ”- [It I If! 001911119512 .1902 501.07: JfHT/C T1910 ~>I 1.2” 3410 "*1 A 11 R— / 1 M V 1 I . I / "C a “ 1’62 - M. L. { 14:5. I I I \W/ I ‘ I 1 3’ 1 3 I . .57 .773 77 C I I—(-— * — ___.5’O’TL fl~>d I I I . ; I i I. 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