Environmental Engineering Reference
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=
Richardson number of Ri
6, as the induced kinetic energy raises, the shear induced
heating increases the temperature within the fluid. As a result, the overall Nusselt
number at the left and right walls decreases and increases, respectively. For a Richard-
son number of Ri
10, the variable viscosity enhances the fluid velocity close to
the walls and widens the flow reversal regions, while the overall Nusselt numbers at
the left and right walls slightly increase and decrease, respectively. Figure 3 shows
temperature contours with superimposed streamlines at various Ri and Br . The color
scales below each column map the temperature distributions. Clearly, for all the
Brinkman number values considered, the size of the recirculation zones—appearing
at the bottom corners of the enclosure—increase as the Richardson number values
step up. We note that for a given Richardson number, higher values of the nondi-
mensional temperature occur for increasing values of the Brinkman number, which
implies an increase in the shear-induced heating because of the presence of higher
=
Fig. 3 Temperature contours with superimposed streamlines for Re
1
for several values of Br and Ri . The images from top to bottom display the final flow solution for
Ri
=
20, Pr
=
3,060 and B
=
=
0, 2, 6 and 10, respectively
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