Two dimensional, steady-state, and laminar mixed convection in a vented sinusoidal corrugated cavity with a heat conducting horizontal circular cylinder filled with air is studied numerically for the case when the horizontal walls and the left sidewall of the cavity are kept adiabatic, while the right vertical sinusoidal corrugated wall is heated at a constant hot temperature. A finite volume method with the structured nonuniformly collocated grid system is used to solve the governing equations. The following governing parameters are investigated: the effects of different values of Richardson number and Reynolds number in the ranges 0−10 and 50−200, respectively; thermal conductivity ratio changes from 0.2 to 10; and the diameter of inner solid cylinder (0 ≤ D ≤ 0.6) and its location (0.25 ≤ LX ≤ 0.75, 0.25 ≤ LY ≤ 0.75) on flow and thermal fields. The computational results indicate that the average Nusselt numbers at the heated wall are strongly affected by the Reynolds and Richardson numbers, and the diameter of the inserted cylinder. In addition, the variation of the thermal conductivity ratio becomes insignificant for the flow and thermal fields.
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Hussain et al. (2011) studied this question.
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