Dynamic Simulation Model of a Vapor Compression Domestic Refriger

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Purdue University

Purdue e-Pubs

International Refrigeration and Air ConditioningConference

School of Mechanical Engineering

1996

Dynamic Simulation Model of a VaporCompression Domestic Refrigerator Running

With R134aX. XuEcole des Mines de Paris

D. ClodicEcole des Mines de Paris

Follow this and additional works at: hp://docs.lib.purdue.edu/iracc

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Herrick/Events/orderlit.html

Xu, X. and Clodic, D., "Dynamic Simulation Model of a Vapor Compression Domestic Refrigerator Running With R134a" (1996).International Reigeration and Air Conditioning Conference. Paper 370.hp://docs.lib.purdue.edu/iracc/370
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2 D

ESCRIP

TIO N

OF TH

E M T

HE M

TIC L

MODE

L

T he dom

estic re

fr igeratin

gsystem

which i

s studied

in this p

aper is i

llu strated

in figur

e

1.

It c

onsists o

f a com

pr essor

a

conden

ser a ca

pi llary tu

be an ev

aporator

a capill

ar y tube-

suction l

in e heat e

xchange

r and an

insulated

c abinet.

2.1 Ma

themati

cal

m

o el

of the

he

at excha

ngers

In this w

ork the

same ty

pe math

ematical

model

is develo

pped for

the

thre

e excha

ngers of

the sys

te m : co

ndenser

evapo

ra tor and

t he cap

illary tub

e- suction

l ine hea

t exchan

ge r. he

refrigera

nt flow i

n the ex

changers

is comp

lex beca

use of

the refri

gerant p

ha se cha

nge. Th

e follow

ing assu

m ptions

are used

:

i)

the

flow

in the e

xchanger

s is sup

po sed to

be

unidim

ensionn

al ; ii v

iscous d

issipatio

n is neg

lected; iii xi l

conducti

on is ne

glected; iv

the

gravitan

ional te

rm is

neglect

ed . Follo

wing the

se assum

ptions

the conse

rvation

equations

are as fo

llows:

Mass co

nservatio

n

1

)

Momen

tum cons

ervation

2)

W here

P x is th

e friction

force pe

runit vo

lume :

with

c

1

0,

7

9 e

25

Energv

conserv

ation

J ph)

a puh

) dp

dp

--

=q

u

dt

dX

dt

d

X

3)

w

ith

For

the

tube an

dfins th

e energy

c onserv

ation eq

ua tion is:

4)

i

n w bich

Mb e t M

z are th

emass

of

the tub

eand fin

spe r un

itary leng

th.

T L

is

the fins

ef ficienc

y.

T

he extern

al heat e

xchange

coefficie

nt betwe

en the ex

changer

nd

the a

ir

a

e is

determin

ed throug

h empir

ic al corr

elations

by

ta k

in g in ac

count the

combin

at ion

of

natural c

onvectio

n nd ra

diation. T

he conv

ective ex

change c

oefficien

t inside

the tube

i

iscalculated withcorrelations

of

theforcedconvection according to the various thermal configura tions.

For

th

e two-ph

ase flow

ZIVI s

void frac

tion mo

del is ch

osen:

1

nd

conse

quently

a

4

90


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6/7

B IB L

IO GR

APH

Y

L

CHE

N Z.J. L

IN

W .

H . D

ynam

ic sim

ulatio

n n

dopti

m al m

atchi

ng of

a sma

ll-sca

le ref

rigera

tion s

ystem

, R ev

. int.

Froid

N

ovemb

re 19

91, V

ol. 14,

pp.

329-3

35.

2

. JAN

SSE

N

MJ

.P.

K

UIJP

ERS L

.J.M.

et a l

. The

oretic

al and

expe

riman

tal in

vestig

ation

of a

dynam

ic mo

del fo

r sma

ll

refr

igerati

ng sy

stems

, Proc

eedin

gs o P

urdu

e IIR m

eetin

g Pu

rdue 1

988/2

Com

miss

ion B

2, pp

.245-2

57.

3.

PAT

ANK

AR S

.V.

Num

erical

heat

transf

er

nd

fluid

flow

, Ma

cGraw

-Hill

, Hen

nisph

ere P

ublish

ing,

Wash

ingto

n,

198

0.

4.

TA K

AISID

Y. an

d O

G UC

HI

K

.

Sol

ubili ty

of t

he sol

u tions

o f H

FC-1

34a and

po

lyoles

ter ba

sed oi

l , Pro

ceedi

ngs o

Purd

ue 1/R

meet

ing G

hent

199

3/2 C

om m i

sion Bl

/2,

pp.14

1-148

.

5.

XU X

. M

odelis

ation

dynam

ique

d'un s

ystem

e frig

orifiq

ue dom

estiq

ue

compr

ession

r

v

apeur

, Ph.D

. the

sis

1996,

Ecole

des M

ines d

e Par

is, Fra

nce.

Jn

sula lion

cabin et

Evap on n

or

Ca

pillary

t u b e ~ m c

t i o n

line

he

aL exch

anger

c pi l l ry

tube

Condcn

tcr

Fi

gure

1 : Va

por co

mpres

sion d

omest

ic refr

igera

tor

493


7/7

mp

M lin

t

)

Figur

e 2 :H

erm e

ti c com

press

or

/

,2.J1)

p

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