Free Convection Boundary Layer Flow Past A Horizontal Flat Plate Embedded In A Porous Medium Filled With A Nanofluid

摘要

A similarity solution is presented for the steady free convection boundary layer flow past a horizontal flat plate embedded in a po-rous medium filled with nanofluids. The model used for the nano-fluid is the one which incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Darcy-Boussi-nesq model is employed. This solution depends on a Lewis number Le, a buoyancy-ratio parameter Nr, a Brownian motion parame-ter Nb, and a thermophoresis parameter Nt. The effects of these parameters on the velocity, temperature and nanoparticle fraction profiles are discussed. The dependency of the local Nusselt and Sherwood numbers on these four parameters is also investigated.