The meshless local Petrov-Galerkin (MLPG) method is extended to analyze the mixed convection and fluid flow in an inclined two-dimensional lid-driven cavity. The enclosure considered comprises two insulated vertical walls and a wavy bottom wall which is subjected to a higher constant temperature than its top counterpart, the sliding lid. For the proposed scheme, the stream function formulation with a weighting function of unity is employed. The simulation results reveal that the local Nusselt number increases with a clockwise increase in the inclination angle. Also, a decrease in the aspect ratio results in an increase in the hot wavy wall average Nusselt number.
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We examined the heat transfer and fluid flow characteristics inside a bent cavity made of two horizontal straight walls and two vertical bent walls. Bent walls are assumed to follow a profile of cosine curve. Horizontal straight walls are kept adiabatic, while the bent walls are isothermal but kept at different temperatures. Laminar nature convection inside the cavity is considered. Governing equations were discretized using the Finite Volume method with collocated variable arrangement. Simulation was carried out for a range of wave ratio 'lambda' = 0.00-0.6, aspect ratio A = 1.0-4.0, and Rayleigh number Ra = 100-107 for a fluid having Prandtl number 1.0. Streamlines and isothermal lines are used to present the corresponding flow and thermal field inside the enclosure. Local and global distributions of Nusselt number are presented for the above configuration. Lastly, velocity profiles are presented for some selected cases of A and 'lambda' inside the enclosure for better understanding of the influence of flow field on the thermal field.
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