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Michigan State
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“STRACT
“1'4.anle ANALYSIS OF BEEP BED DRYING

aurutuutic :- m b- muu an «(and to describe

drying in dug has. rm [- ulu. it tho ntio of the "ovation of
tcmntm drop of thc drying tit I'm the km by" to the (1-01).“
um. to‘tho to-pcntuu of drying lit in tho «a position in the
In. lurid 0! till. m Wind 10 the ratio of tho propution of
”mature «in of tho drying ti: "on the i-th icy-r to the (nu-u
1m: after the intent in upon prawn of tin pain due to hating.
to tho papertian of mature 6:01) of the drying sit in tho out
puitinfiwtu on. period of tine.

' In the “unit of the drying ”can. the I. and human an
function. of position i and tilt J It: I mcific product. Vuiouo
fusible uintionthipn have be. OW. (or which uthmticti
cautious an «Wished. use. that niatiouhipo u- pmcntcd
graphically. lacuna [a and his-action m‘ defined for a given product.
the drying 920:.” m be ptdictcd by «in: the -tbmticll may.“

PM No

Approved ”My 9M _.
944 [€415

“manual, ANALYSIS OF DEEP BED DRYING

by

Hans C. Wu

AW!!!

Submitted to the 001133“ of Agriculture
Ind Enginming of Hichigu State
thinnity in pattiu (“faint
of the "amounts to: flu
403m of

M8183 DP SCIENCE IN AGRICILTUML ENGINEERING

bout-Int ol Antwan: magi-«tin;

19“

The nether viehee to emcee- hie rretitue (er the «innate
end emert tree hie edyieer Dr..ceri I. mu. the net eeiy
inepiree the author's inn-untie- hut eiee the eeeren to were
thie inch-tie- eye. with the. theeie is entirely heed.

The euther ie nee nettle: te the bout-Int Chair-In.
Dr. Arthur I. W I“ hie etefl (er providing the tuititiee
end entire-eat (er the ee-pietiee e! thie theeie.‘

The enemt mace-en (re- the «there ”rate.
argue Ire. infer-uh“ the inn drive (er the any.

mmcrxou e e 0
EV 13H 01' LITERATURE
ANALYSIS AND RBSILTS
ILLUSTRATIONS . e .
“(1.03st . o 5 .
8M!!! 0 e e e e
RECCIOIBHDATIONS o 0
REFERENCES . o e e e

APPENDIX....oo

TAM OP

5.11

“I.

18

20
28

29

bet-IF
8

'U

U

LIST 01' SM HOLS

Length of the 400;: Mm

initini teqerntnre before entering the grnin.
Din-y index unocinted Itith inyer ponitioo.
Dun-y index nnnoeinted with tine.

Proportion of heat iont of the drying eir Iron i-th
inyer to (i e i)-th inyer nt Juth inntnnt.

Proportion of temperature gain of the drying nir fre-
i-th ion: to (i e D-th ieyer nt J—th intent ei’ter
upor prennure of the groin increnned.

Teqeremre of the drying nir in i-th inyer nt J-th intent.
P

*3

.ii
'1:
Content end eaunie to iii-h) i! r end 1. ere eonetnnt.
Diegonni nntrix of n x n. which in n {sanction of I”.

Diegonei Intrin of n n n. which in n function of A“.

in

Digital.

OUMF

LIST OF FIGURE!-

"8‘
mtaO‘dapbudflh‘ooooooooooen 7
“(IP‘Jnonoooooennnoeonenee 1.

o
infnhih'i'oo-onn whenen0.7T”-120 1.. 20
A

The in end U nurfece. vhu I“ end A” nntinfy n
iinenr reietionnhip with renpect to i. ponition.
“4".“ onoonnooenooooonoe 21
The l“ nod A“ eurfece. when I“ or A” in n non-
linenr function of i. hot n linen: function of J. 22
The I“ end 2.“ nnrfece. when ‘11 or A” in both I
nonlinelr function of i end J. 33

INTROD 5121' It)“

ineienent veether eIten prevente tineiy eoepietien e! hereeet.
lien thin hoppenn. the {other he to he very are!“ in opernting
n eedine or picker. The horneting tone of corn in October in
Spermtneenaned tethntinlovenheref bemoan-“in
w “.0 per mt. The entilnted lone in 3‘.” m an in
October. $19.00 in love-her. ell $18.00 in name

anti (new eetineted an the inner heteeen hornet end
much el groin end hey onenntn to in end as per cent.
reqeetiveiy. of the tetei production. end thin ion in froitn
an regetohiee in on high on as per cent. Both hemeting end
eterege more con he greetiy nininieed hy edeptetien end proper
W. of ennnd drying ”notion.

leeent etndiee here nheu thet trope horneted et n higher
neietere content viii here nininnn field inner. to: corn thin
uintnre content in iron 34 to ”per cent: on the other hend.
for note nterege of «en the nointnre content ehonid he hotel! 13
per cent. net heeie. lien (in?) nine minded thnt e noting
ed 1'! one out of the tetei ioeeen Ihieh occur during hereonting
end nterhge eenid he reniined by eonhinetion o! eeriy here-net
end enhneqnut drying. ”thin ieede to the been“! of nrtificiei

"VI-Io

W ehont drying hen been entenniee. Drying of ningie
hernei depth ieyern hen he. reeeenehiy neii deeerihed hy nethe-
.tieei «noticed. However. deep layer drying hen heen deerrihed
hy eqiricei eonetione. bet not by doing the ningie depth ieyern
nehing up the hen. Hence. etteeptn to net up n generei nethenetieei

eqnetion to deeerihe the deen hed drying proceee here he. of
iinited nine. finch norh hen been done on the reintionehip
heteeen nietnre content of the groin end drying tine. but no work
hen been done in the field of the teneretnre dintrihntion o! the
drying hie dong the deep bed. Thin in e new field of ntndy. If
no one explore thin father end gether due. on on net up n
teqeretnre dintrihntien eqnetion in order to .derntend hotter
thenenhenienel thedrying inthedeep he“.

The objective of thin etndy hen to develop on eqnetion end.
(nether-ere. open the field of etody to an up n urine of eherte
end grenhn fer per-eneet neege end denial te denorihe the drying
greener in deep ieyer drying.

RI'VIE‘N 0F LITEUJ‘URB

The theory of drying for e ningie ieyer hen been devoiOped
nning Newton'n in of hating on cooling. under the eeeunption
til“ the narronnding eir in It countent temntnre end that the
towereture difference between the drying eir end grain in nun.

Thin motion in nritten no follow:

di‘
unease-Ine- n .‘ (1.1.3)

inthieeeeetienlie theheetingercoeiing eonetent.‘rin
engaetnre indeg. I. die tineinhonenend't. inenternei tenere-
teen in deg. P. Inn (in?) need newton'n equation to deeerihn the
(enter rete of drying. The equetiee hen been my netieleeteey
he the (oiling "he of drying. Ir eohntitntion of the hpprOpriete
neintnee eentute (dry henie) (er the tenperntnree in the em
eeneti‘ee. the nonetien in ehneged to noietere content retiot

‘"'“e one

73""

Iheee I II neietnre unto” e! grein. net henin. per cent.

11.: eoniiiheinn nintnre content of groin. vet heein.
”I “I'e

I‘ll initiei neintnee content ol groin. net heeie.
”I ”he

I ohentingereoeiiegeenntent.

Bitty (19”) derived en eqnntion for thin ieyer drying of
hope in nu. end ehoned thet drying the in invereniy proportionei
to the differ-en hetneee preeenre of enter et the teqeretere of
drying end inlet end teper prenenre of voter eirendy pendent in the
«nowhere. The drying tine in directly proportion). to the icon
efeeterpernnnnre fentnreeper ninntenndneeenpieinedhythe
nonnatieninteeneefnirepeedinfeetperninnteieeyingthe
here. In eneiyned the tenor prennnee driving force in her-e of
grennnre difference reinted to enter et the inlet eir mum.

‘ tin-nee (the: h) peepeeee e nethod for predicting the rete
efdryingefehentgreininhednzinehee toiz incheedeepfoeeir
nieeitien of 12 to 130 feet per ninnte end on evernge tenperetnre
of 10 to 170 dog. I. me eeenereeien of 3 to per cent. In thin
nethod. drying tooh piece entirely in the decreeeing rnte period.
13 deereneieg drying rote period of meet one dencrihed in tom
of itn emegn neintnre eontent. he heiieeed thin reintionehip
nenid he none eeinehie if the drying rate coherent could he ninpiy
enereieted dth eir condition.

he prepoeed thnt the neon tenperntnre for predicting the
perfornenee of ediehetie dryern he the iegnritlnic neon toweretnre
hotneen the hi: mourn nod itn edinhetie entnretion tenpere-
thee. lie hen rho-In Iron e nointnre beinnee eqnetien thet the point
of neninen rete of drying in 3!!th to the bed depth. end the

rote of drying dependn on non velocity of eir. he one eieo

convinced thet e correietien of the rete coherent with teqerntnre
venid he eoffieient for neet preetieei pnrpeeee end oeneidered thet
et eny given teQerntnre e eertein frnetion of nniecnien preeent

in e eynten ere enpnhde of undergoing chenieni renetione. diffnnien.
yiennne fine. etc. He nine deyeiqed en eqoetion for the mintien
of the rote content with nit twentnre end horned out n nethed
for predicting drying perfor-nee hneed en the drying conetent

end ingerithie neon teneretnre of drying eir end net hnih
tqeretnren. he nuggeeted thet the drying nene eonid he egreeeed
in tune of drying percentege.

‘huhiii'e (1M1) opproeeh for eneiynie of deep ieyer drying in
en foiienne the meted reintionehip hotneen drying tine. groin
neietnre. end grein depth nnite heen heen generniieed to nehe then
eppiieehie to the drying prehien. in the eqnetien of drying rnte
he nice one of the «yin. tine-it unite in nu mpenne tine.
nineteen content retio. and depth (deter.

Hendeeeen (use) nuggentnd n nethed for eeinnieting neintnre
eententelthedeephedetenygieentine. Thenointinnieheeed
. etepeine integretien free one inyer to the other. He divided
the depth into neverni thin ieyern end nnde en euntien of
.ifern drying of eech ieyer to terry net the procedure. an
iiientreted e tehie ef eeieeietiene ehieh given the neietnre
eentent et eny depth with enrione internhie of tine.

Iron (in!) ehened nene teqerntnre-tine-uintnre reietienehipn
endpreeeee fee drying groin. end in iteOnithee-enthoenhipnith
“111 end Bidet. mend dineneienei Wylie in pinning the
enperinente end miynieg the dete. iith the help of the Betti-glen

Pi theoren. they developed n generei wiricei prediction emotion
f. hernei drying than in eonnterfien groin drying:

N
.

“’e"v”'hr (r/hfm

here (1) 1h in the kernel. trevei or drying tine in niwtee;
(3) II‘ in the units nninture content 353 (3) I. in the groin noieture
content at. per cent dry heeie; (d) r. in the entnretion upon
me correepoeding tn the entering air tenperntores (s) 7' in
the pertini vepor preeeore of the entering eirt (d) P. in the
hero-etrie preeme. in mums...

 

 

 

 

_—-- _-

 

 

L Ln
2:35:22
___4.__
__%_-4

 

 

 

 

 

 

\\ :HQT AIR IN

 

 

Pig. 1. Sketch of deep bin drying. '

 

 

 

Delhi

Dem.

ANALYSIS AND “SETS

lefinitienl

iote index: eeeeeieted nice petition (i-te etrip)

J-th indent eeeeeieted vita tine (Jute intent)

I“: pnepertioe e! tenperetete drop of the dtying nit “It...” . \/ .
i-tn ieyee tn (1 e 0-“ inyer. ué-zfiiiuumw j

I”: pupa-tie- of tenet-um l inin n! the drying eie teen
i-th inyee tn (1 «e 0-“: ieyee after upon manure a!
the gui- iaaenned. et J—th intent.

P
(‘ u .g 1 nee. .)
D...“ ‘11 .fi (J . Cg 1: one. 3)
Since rue? “3 hence, ‘U‘ 1 end 1-“ In!“ 1'” ... (i)
heme-ere. ee define the (action of I” on Du to
u “J8 he
‘
A a
U
'3
3““ .u‘ , 11' h“. tlr ‘ m. u . It)", on. (1)

D! (1) end (8) tie new:
I.” O In?” ' “1’11"“ M [113in 1

it the J-th hunt. the mete" diettihutien e! the deep

tin eeeid he detenined en feiieeet
(i) in the fleet ieyee nt the Hit intent:

r e .ruoe.’ e I 1
OJ ".115" me J‘OJr OJ
”“0 eJ‘eJ’
e? eJ [1- :10.“ B] ...

(ii) in the eeeud ieyet et the J-th inetentt

u " ’u " 'u * ‘u

"‘ 'u " ‘u’ u

'u "' ‘u’u "‘ "thu

henee

‘1'” er” [1 . ‘U (1413)] ...

‘I'

'7 (3) end (4) therefore

r” . r“ (14” (1.25,)th . 3,, (1-3”)!

(I)

('4)

By indnetien ee heen he the n-th ieyee (the 2 top , ieyee) nt the

HI intent:
1‘

”‘54 Jae-1.1)]
are” i!" u .. I“ (14”)!

d of J [taut 1-)“)le (1-4”)! ... u-xu (1-).

“)1 one

10

By e ei-iiee ergo-an en an get e geneeei equation to: the
”eaten dieteihutiee of the drying tie. with none ehenge e!
inden tense {ton teen to (In-i) end (n-i) to ene te n end n.

t In! 'fi’ [14 (1-1; )) ... (s)
. ee U 11
53

(M. 1. eeeg ‘e’
(“0 8. eee. Io)

mam DISCUSS“! OP EQUATICN (5)

Me nee eniy (out eeeieeiee deletieenhipe heteeen lu'e end iu'et

(i) iu-lendiu-i (tetheeeeenetent)

(ii) The iu'e eee eneqnei but A“ e i
me «did he dew Id fallout
(e) tu'n eee mete-ideiiy ineeeeeieg. eith depth a! tin.
inch in iqennihie in the peeeeee e! deyiu.
(b) lu'e ere Wm» deadening:
(i) lu'e eetinfy n iineee equation.
(3) 1‘ J'n «titty e non-linen: metion.

(iii) The lu'e eee eeeeteet. end the lu'e mieneqnein
(e) iu'e ere neneteeieeiiy ineteeeing w in iqeeeihie
in one all.
(h) iu'n ere neetenieeUy deadening:
(i) Au'e netiety e iiaeee equation.

(3) lu'e eetiely e neniineet eqeetien.

(it) The Ku'e ere unequei end the hu'e ere eieo unequei.
(e) No monotonically incteneing in poeeihie in the
proceee of drying.
I
(b) Function in liner in lu'e end in e.

(3) Function it nehiiheer in lu'n end iu'e.

0835!

(i) tutu-Indiu-i

Then equatien (5) heme:

I" :- Tn-fi‘ {kin-1)] or

“I“ II t“ (tau-n)“
Let e a “1-”

Since .3 k i nu a: u 1
Made-fly e: e e i
I“

1'- . r“ ‘1‘,” eee (‘)

ly the hint-int: expeneien‘. en ehteint

(heft-l .$+£§’fil.’-flr—}}Lflla’t ...

here e3 ee 1 end n in e genitive integer.

 

ltern meeti- (er further deteii.

13

end since

Omtl-Qn-t-fl—c 3:

 

+ 0..

men n is large

it1 5 ant-1)

n, h .(n-ixn-z) ..- { p? M 1 um I 3070 gamma 3

M V ’0 , 3-370 0"!”

Renee (iv-n). fem eppreeinteiy. the: e ie lerge.
Theret‘ere. eqeetien (0) could he repreeented ee

'- . rm C“ eee (7)

m" C . “‘.‘)e ‘
lonetiee (7) in the general fer-hie fee the teqeretnre dietrihntien
‘- m «C, ”he

do (er ne eent’ined mount to the one there I“ e e. A“ - 1.
end henee e in e eeneteht.
use I:

If the iu'e ere anequei and x.“ e i. then the generni (er-at (1).

becomes

1. .1” [Lana-mu-Luu-m [saga-1)) ... [14-414)]

. tu-fi— [Mutt-n]
5::

i3

1 (lfl‘l-d”. 0. no. 0
e. “dun-1)] . . .. . e
u“ ‘ :22: : ,
eeeg .
.e eee nee. O
" ' ““u‘wm 1-1. n

 

 

t! ee define entrin I, eeeh thet

 

 

[1.5’(1.x’) 0 .0 e e e o .
.0 (1.5’(‘-l’ld eeeo .
e 0
”(NJ . . : e
e g 0
.g eee g C
.0 eee g u.‘u(14)l ’- ‘. .... .
l'hen
I
In .ree “I I lune) ... (10
him. if It «‘1. t. -.lil U “a til.
8‘. .0 eeee g .
in . .0 .'o eee g .
.e e .-

 

 

n- generei telperetere diettihetinn eqnntien em he very eneh
eiepiitied end

1'. U 1'” ‘ eee eee (.)

14

In the developing e! thin eqnetien. ee tenant thet the lu'e
eetiety e iineer reietion eed ere neeetenieeiiy deereeeieg.
Let them fleet um ettheheginniegel thedryingpreeeee.
then due-lendl‘ietheeetneefluettheieetieyeretthe
tent nee-ht e! the drying recent.

’ntthereere. u we no... the ieegth et’ the deep u- u L.
einee i.-i. I i 1- eehetent. then

51.5 ell merelietheeiepeeftheiinet

n e
L" ‘11 - I. . (Ln'te) “
e m.
Since I“. I. end 1. ext nii neemehie. hate I it entirely deter-ind.
an“ I ie deternined. ee een ge heck to the equetien (7e) te {ind
ent eeeh e! the 11”: end the [iotufl-JOJ ned the an...) end
then 9.. end (teeny 1' '. heeneee

r-etne

In eeee (113mm. eince Ku'n ere nonlineer. udee the tenditien
ef neeeteeieeuy deereeeing. ee den unit the function e! xu'e te
n iinited enter 0! tuttiene with regret to X'e (depth e! bin).
in ennpte.hypuhotie function. ((3) e e‘. et¢.. ere eene enemiee.

15

use "I

t
I” e ere cenntent end Au'n ere cheque). tad iu'e ere nonoteni-

eeiiy decreeeing.

nee generei equetien (3). niece xu'n ere coeeteet. hence:

1’. - r.#' [t 4 (Mn)!
fl

.run-‘ ‘14“)) u.‘ ‘1’53’1 one [1" (14“,) eee “"("‘u)l

 

 

 

 

[1“(‘41J’le .e eeee °
. 1 .e [1.“1.xn)ln e .
” e g C
e c C
e e C
.0 eee I [t’qtd-J)] J. 1. ... .. -
Define A, m m.
l “Ml-Lu”. .. eee. 0
.0 [14“43J’] O O .
e d .
AJ 3 . . o
e d .
°' ' “"‘“"-J” J- 1. .
then
I
T. - 1'” | ' ‘J‘“) eee (”

16

dnppoee we define e netrin Vu- each thet

1
v - 0 ‘2. none .
III .
eee e A

 

 

The generet tenperetnee dietrihutien equetion of (5) win he in the
(dinning fern:

:- or” y ... (90

here

 

 

end d"e were defined previeneiy.

(333 IV

(1) The Ku'e end 1*

Iron eqnetion (5) we heen

j" ere tinder functien e! 1 end J.

r. . gig" “"1: (14‘ 9)

in the previonn eqnetion K” end in ere the only ten uneven.
“nee Ku'e end hu'e ere in e linen: reietion with reepect to tine

17

end peeitien. 1‘ J er I“ enrfnee in n ptene in three dineneinn
Itich «did well he net m by enpuinent. enee the curfene in
deeerihed. ene an inch et the nnrfece end deternine the nine of
(“'n end iu'n end innert into the generei eqnetien. end 1’“ eonid
he then deter-teed. Thin procedure viii he denunnetreted in the

iiinetret ien eection.

(ii) The Ku'e end Au'e ere noniineer function of i end J.

lining the tent generei eqnetinn. we encmter the rent proble- ee

“J. Mar. einre lu'n end “in ere in noniineer reintionehip

eith renpect to tine end peeition. I“ end A” nnrfecen heen

different thence; none ef the ehepee ere euueeted in the P,ignree,'*4,5 and 6

which coetd he ntiiined in ceicnleting the teqeretnre dietrihntien
efthedryingnireiengthedeephed.

 

 

[WITH

For the note of einplicity. oeneider the tint ceee when
I“ III no I.“ II I. Since d'e ere nineye tree then one. for
engineering perpeeee. no one neenne itn veine to he 0.03. 0.10.
0.1!. .... 0.”. end niece proportion of the bent gein of the
drying tie in the i-th ieyer to (i e iJ-th ieyer efter tenet
peeeenre of the groin increened ie einont negligihiet honor the
detention of l I 0.1 will he e good epproninetion. end e e {ft-h)
mid he deternined by Fig. 1.

ly Fig. 3. if no.1 nut-0.78 tune-0.7.

Dy eonetien (7) no here

It . «r ..Oeh

 

- on
or
1‘nn
In (r) 3 -0.7.
on
i.e. Th 1;: . in rle e n (10)

In ennetion (10) r” in given (conic he eneiiy neeured) end
n in deternined erhitreriiy. which in eheen in Pig. 3. then I". n 130".

ll

19

 

O O. 2 0.4 O. 6 0.8 LO

’1‘. 2° “(l-x)

AIR TEMPERATURE TM- °F

I 0.0

0'
as;

MP
00

.70
Q

'0

0.8
0.6

0.4

0.2

0.|

 

20

TIME

_ 0
Fig. 3. in run = it) Too - nun men a = 0.7 Too- 120 P.

21

LC

§

 

: 15
r' ‘ “‘r illlilllllllll

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

rifle 4e
The ‘13 end xij enrfecc, when [13 end Aij

rcietionehip with respect to 1. position, and J. tine.

sntiefy e linen:

22

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

P‘Se so

eurfnce. when ‘1} or tij is e nonlineer

The ‘ij end ‘13

function of i. but n iineer function of j.

mamas

ly defining nu not A”. octet-ding to the previeun nneiyeie

end diemeia. the teneretnre dintrihution countiene of the

drying eireieng e deep hin could he ceicuinted ee feuonnt

(i)

(ii)

(iii)

tfluelendhu-h

Then 1‘. e Tue...
here the n inden in eeeecieted eith petition of the
grein en the n-th eerie end the n index in eneocinted
with ”at. In the he"! tilt.
the lu’e nee nonetoniceily deadening end Au e i
The tenpereture dietrihutien caution in

r- n tau
there 0 in n faction of I” end in turn I” in e
function of i end J. done of the poeeihie I“ eurfecee
ere iiiuetreted in the figuree.
The I“ II I end hu‘e ere nonetoniceiiy decrenningt
the teqeretnre dietribution equetion in

'1’. e I";
there 1 in n function of is”: further-ore. eince h“
ieefmctionofinndJ. noticefunctionofi
end J. dent of the poenihie A“ urfeeee ere iiiuetreted

h .u f‘m..e

2‘

(Le) The lu'e end xu'e ere mtonluny decreed” end
(e) e “nee: fmctlce of 1 end J;
(b) e matinee (nettle: el t end 1.
Thee the mature attribution {mtiou of the
ma; eh it:

to. x” eat is“ eetfeeee tee “Mutated Le the (tune.

SWIY

In the preteen of thee enelyeie. the concept 0! Pt end A'e nee
need in e netnenetleel equettu te "patent the drying petteen.
It 1e epptoprlete to define teen ulna. use during eerie; teen
epicenter“ wettest nee e patties-1e: eet e! l'e end we. rneee
telnet could he «tent-ed taped-enmity. In tnle pepee. tithe-ugh
e entice“: end penance: eet e! e'e end l'e ere not included.
expect“ eelnee of x‘e end A'e neee been m. It te elee elm.
nee te nttltee theee pteeeeneee. ,
The mm peneeee e! “neutered nucleate could be detained
by e elqle mention «in; ell-pie telnet e! I end h. each u:
1'- er 1‘ ”e.“
mete e I- m.»
n I menu of eteipe 1n the Me
n I- eenbeee of unit tine tennis-ed tee dates.
ill-en I end A tee content. ee elm- Ln the beginning of the
enelyete. eeen :- end A- velne it between eete end one. Even when
the we end l'e ere net nonetent. the rage ef mutton 1e not tee
nut. We". e .eee eppeeunettee an be nude even then l'e 1
can

end A'e ete not content w the “910 eqnetten 1" true .

fl neee peeetee teenlte ere vented. the I.” end 1‘ J neteeee an be

27

let up fleet end thoee telnet leeetted into eqnettone depending
en different drying matinee. Therefore. 1! the K'e end l'e
nee enuehte. the mature et «fluent peelttene tn the bin
et “(tenet thee an he need with the {tune to {the the required
the (or the K-nlnee te eppteeeh nee. ehlch 1e the regained
the fee trying the product.
The genteel. teneeetnte diettthettee fnntthn e! the
427m ell 1e:

1'. :- tcnfi‘ [x-tuuaun

MWATIMS

he teneeetnee autumna- elm the depth 0! e hie 1e
deeuthed hy the I end I. eetnee. which eee function e! poettlon 1
end tine J. Defeat the theeey tee he need tn pteetldel eppucetlene.
eeeeeelexoeetnenteeheuldheeeetedeterntee themeeeolxendl.
Thetet'ue. It It nan-ted“ thet e pnjedt he eet up to
ehtetn the dete needed to eet up I end 1. (tune ee enttecee for
different drying condition.

REFERENCES

leiiey. P. 1!. (use). any drying ineeetigetiene. Jenrnni e!
egrteeitntei Ingineeeing teeeerch sums-u.

m1. Cert I. (19”). Deg leyer drying. whhiiehed dete

mm 330. Want el dgtieni t-ei Ingieeeeing.
hiehigne stete {hit-net".

In“. one: I. cum. Drying tern (Inge. ldnerde eretheee.
lee. den enter. Michael. 336 n.

It”. Gee: I. at J. I. Mina—trim (1931). lciiihrien
neietere tent-t e! eheiied tern. dgtieeitnrnl Hui-Cut.
”(mete-en.

Reelernen. t. I. end I. L. terry. (1m). egtieetteret Preteen
hgineering.Jetneiieyendtenn.lee!-rt. eon"- "

mm. him- V, (190). leeie ”Wee in drying eern .d
‘ genie nee“ Ageieeitnni legieeerieg flute-38. 349. -

teen. brten 6.. V. '. llnhiii endhfl. I. Blue. (mount-u
drying tinee in ten-tern" grein dryiq. Jenreei leper
lo. Jot”? e! the tent Antennae! end Rene We ‘
3...“. “‘t“. Add. Me "0300* '00 t“

(um eeepereting).

. teen. leeten C. (1953). tene teweretIne-tine-uietnee reietien- '
1.13: end ereeeeeee tee drying greine. meet Che-letry
.Me

Mg '0 an an. an re M d .n Helen. (‘.:”)e 1. ‘8’“.
elfieetgretn. tertI-rheneeeeninel Wheel.
In... M ”on ”t.” (“I“)e

time“. h. R. 6.. O. f. lend ed I. Helen. (um). The drying

e! fleet gtetn. Feet II . M311 6:713:15! detpstede.
two I...e M We. ”1“”. (“I“)e

39

Ve- Aredei. w. s. end a. J. Copley. (1063). m behydretion.
‘ m A” Publishing 00.. ['3‘ “Ct”... m.““.n ‘3’ pp.

”‘0 Jn ‘n m C. I. “In. (1,“). "0‘.“fl ”MB. in
hygrencepid neteeiele. e nethenetieei enuyeie. Tune.
em 4(1): 31-36.

armmx

Shoe thet if Gene! thet fee- I ierge
(he). I: e."

u-o“ - mm”- + dun"? - dun"? + dun"? ...

- 1-0p- + (5')} - (3)? e cps“ - ... + (49%;)?
I II: I, at
C .“I.‘“r*3r*eee*n*eee

33 33 44 kt
one en .ee en. ham
' .1...” 4. T‘T "Wm 17"”-

k
If e in innate (p I: a? ‘f

n.’ ‘n,
my

i.e. e: i at (en-h):

he: nil: uncut-e: eneet
e n a e: e e'cn-z): :- Inga.) (e-z): (n-i) . In: (5-1)
x . a e: e n’(n-3)3 c a: (fling)

‘l'herefete (t-e)" I: e"m than n 1’: urge.

 

ll‘l lli'el' "‘
IIIIII'.

 

 

 

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