Boundary layer flow and heat transfer on a continuous moving wavy surface. (English) Zbl 0856.76017

Summary: The effect of spatially stationary surface waves on the forced convection induced by a moving surface in an otherwise quiescent fluid is examined. We consider the boundary layer regime where the Reynolds number is very large, and assume that the surface waves have \(O(1)\) amplitude and wavelength. The boundary layer approximation is valid and the resulting parabolic equations are solved using the Keller-box scheme. Detailed results for the local skin-friction coefficient are presented, as are results for the local Nusselt number for both the cases of a constant wall temperature and a constant wall heat flux.


76D10 Boundary-layer theory, separation and reattachment, higher-order effects
80A20 Heat and mass transfer, heat flow (MSC2010)
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