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Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition. (English) Zbl 1432.76090
Summary: The steady laminar boundary layer flow over a permeable flat plate in a uniform free stream, with the bottom surface of the plate is heated by convection from a hot fluid is considered. Similarity solutions for the flow and thermal fields are possible if the mass transpiration rate at the surface and the convective heat transfer from the hot fluid on the lower surface of the plate vary like \(x^{ - 1/2}\), where \(x\) is the distance from the leading edge of the solid surface. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically. The effects of the governing parameters on the flow and thermal fields are thoroughly examined and discussed.

MSC:
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
35Q79 PDEs in connection with classical thermodynamics and heat transfer
80A19 Diffusive and convective heat and mass transfer, heat flow
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