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Heat Transfer
book

Heat Transfer

by Younes Shabany
December 2009
Intermediate to advanced content levelIntermediate to advanced
523 pages
18h 30m
English
CRC Press
Content preview from Heat Transfer
Computer Simulations and Thermal Design 371
for the x -component of velocity and is shown in Figure 14.6. The integration of the
continuity over this control volume gives
()(),UUyV Vx
E
n
P
n
ne
n
se
n++ ++
−+−=
11 11
0∆∆
(14.66)
where
U
P
n+1
is given above and
UU
y
a
PP
E
n
E
n
EE
eee
++
=+
11*
(),
ρ
′′
(14.67)
VV
x
a
PP
ne
n
ne
n
ne ne
e nne
++
=+
11*
(),
ρ
′′
(14.68)
VV
x
a
PP
se
n
se
n
se se
sse e
++
=+
11*
().
ρ
′′
(14.69)
Substituting these in the nite-difference form of the continuity equation, Equation
14.66, gives
(
**
)(
**
)
()
UUyV Vx
y
E
n
P
n
ne
n
se
n++ ++
−+−+
11 11
2
∆∆
ρρ
ρρ
EE
eee
PP
we
ne
a
PP
y
a
PP
x
()
()
()
()
′′
′′
−−+
∆∆
22
aa
PP
x
a
PP
ne
e nne
se se
sse e
()
()
().′′ ′′−− −=
2
0
ρ
(14.70)
x
y
P
EW
S
N
s
n
e
w
nw
ne
sw
se
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Publisher Resources

ISBN: 9781439814680