Environmental Engineering Reference
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Fig. 12 Isotherms and
stream function for the
enclosure heated from the
top , Ra
10 5 ,
=
ʛ =
1
/
5and
ʵ =
0
.
3. a
ʓ =
0
.
3,
10 5 .
ʔˈ =
8
.
1
×
b
ʓ =
0
.
05,
10 2
ʔˈ =
1
.
5
×
Fig. 13 Average Nusselt
number for the enclosure
heated from the top ,
ʛ =
1
/
5and
ʵ =
0
.
3
Fig. 14 Isotherms and
stream function for the
enclosure heated from the
top , Ra
10 5 ,
=
ʛ =
1
/
5and
ʓ =
0
.
1. a
ʵ =
0
.
1and
10 6 . b
ʔˈ =
5
.
1
×
ʵ =
0
.
5
and ʔˈ = 3 . 3 × 10 2
no thermal stratification is present, instead, there exist thermal boundary layers near
the upper and lower walls. Comparing the values of
in Fig. 14 a, b it is clear that
the multiple convection cells pattern flows very slowly. The remarkable difference
between the heat transfer capabilities of those flows shown in Fig. 14 is also corrob-
orated in Fig. 15 , where the Nusselt number remains constant for 10 3
ʔˈ
10 6
Ra
and
ʵ =
0
.
1, i.e. the diffusion transport dominates the heat transfer process. As
ʵ
augments the heat transfer increases considerable even for Rayleigh numbers of
order 10 3 , however, the effect of
ʵ
losses relevance for large Rayleigh numbers.
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