Environmental Engineering Reference
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Fig. 2 Isotherms and stream
function for the enclosure
heated from below and
ʵ =
0
.
3,
ʓ =
0
.
1and
10 3 ,
ʛ =
1
/
5. a Ra
=
10 6 .
ʔˈ =
2
.
8
×
10 4 ,
b Ra
=
10 6 .
ʔˈ =
8
.
6
×
10 5 ,
ʔˈ = 9 . 1 × 10 3 .
d Ra = 10 6 ,
ʔˈ = 8 . 5 × 10 2
c Ra
=
Fig. 3 Isotherms and stream
function for the enclosure
heated from below ,
Ra
10 5 ,
=
ʓ =
0
.
1and
ʵ =
0
.
3. a
ʛ =
1
/
10,
10 6 .
ʔˈ =
7
.
4
×
b
ʛ =
1
/
3,
10 2
ʔˈ =
1
.
1
×
the dimensionless wavelength is large. The effect of
on the flow velocity may be
estimated by the increments of the stream function values,
ʛ
, corresponding to
each figure. The heat transfer through the cavity is also strongly dependent on the
dimensionless wavelength for high Rayleigh numbers. Figure 4 presents the aver-
age Nusselt number on the heating surface as a function of the Rayleigh number
for
ʔˈ
ʛ =
1
/
10
,
1
/
5
,
1
/
3, aspect ratio
ʵ =
0
.
3, and dimensionless wave amplitude
1. For Rayleigh numbers lower than 10 4 , the heat transfer is mainly due to
conduction and the average Nusselt number is 1
ʓ =
0
.
10 4 the average
.
74. Above Ra
=
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