Numerical solution for mixed convection boundary layer flow of a nanofluid along an inclined plate embedded in a porous medium. (English) Zbl 1268.76061
Summary: The steady mixed convection boundary layer flow of an incompressible nanofluid along a plate inclined at an angle in a porous medium is studied. The resulting nonlinear governing equations with associated boundary conditions are solved using an optimized, robust, extensively validated, variational finite-element method (FEM) and a finite-difference method (FDM) with a local non-similar transformation. The Nusselt number is found to decrease with increasing Brownian motion number (Nb) or thermophoresis number (Nt), whereas it increases with increasing angle . In addition, the local Sherwood number is found to increase with a rise in Nt, whereas it is reduced with an increase in Nb and angle . The effects of Lewis number, buoyancy ratio, and mixed convection parameter on temperature and concentration distributions are also examined in detail. The present study is of immediate interest in next-generation solar film collectors, heat-exchanger technology, material processing exploiting vertical and inclined surfaces, geothermal energy storage, and all those processes which are greatly affected by a heat-enhancement concept.
|76S05||Flows in porous media; filtration; seepage|
|76R10||Free convection (fluid mechanics)|
|65M60||Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)|
|76M10||Finite element methods (fluid mechanics)|