Natural convection in a shallow cavity with differentially heated end walls. Part 2. Numerical solutions
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چکیده
Numerical solutions of the full Navier-Stokes equations are obtained for the problem of natural convection in closed cavities of small aspect ratio with differentially heated end walls. These solutions cover the parameter range Pr = 6.983, 10 6 Gr d 2 x lo4 and 0.05 4 A d 1. A comparison with the asymptotic theory of part 1 shows excellent agreement between the analytical and numerical solutions provided that A 5 0.1 and Gr2A3Pr2 5 lo5. In addition, the numerical solutions demonstrate the transition between the shallow-cavity limit of part 1 and the boundary-layer limit; A fixed, Gr -+ co.
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تاریخ انتشار 2004