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Simulation of natural convection in a complicated enclosure with two wavy vertical walls. (English) Zbl 1262.76058
Summary: Natural convection in a square enclosure having two wavy vertical walls is studied. An enclosure is filled with fluid-saturated porous media. A cavity is heated spatially on bottom wall while remaining walls are maintained at lower temperature. The objective of this study is to examine the flow field, temperature distribution and heat transfer inside the cavity when values of Darcy number, Rayleigh number and wave amplitude are changed. To analyze the performance, the governing differential equations and boundary conditions are coded into FlexPDE 6.17. Professional which is a finite element model builder and numerical solver. From the study results, decreasing Darcy and Rayleigh numbers decrease the strength of convection. In addition, the magnitudes of temperature and heat distributions become smaller. In the case of increasing wave amplitude, the flow intensity is obstructed by barricades resulting from extending the amplitude.

76M10 Finite element methods applied to problems in fluid mechanics
76R10 Free convection
76S05 Flows in porous media; filtration; seepage
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