Double Diffusive Magnetohydrodynamic Free Convective Flow of Nanofluids Past an Inclined Porous Plate Employing Tiwari and Das Model: FEM

摘要

This article presents a finite element study of double diffusive magnetohydrodynamic free convective flow of nanofluids past an inclined porous plate with oscillatory velocity considering buoyancy, heat absorption, first order chemical reaction and radiation effects. The problem is formulated for two water based nanofluids with spherical shaped metal nano particles as copper and alumina in a rotating frame of reference by employing Tiwari and Das model. The Rossel and approximation is adopted for thermal radiation effect whereas the Maxwell-Garnetts and Brinkman models are used for the effective thermal conductivity and dynamic viscosity of the nanofluids respectively. The dimensionless, coupled governing partial differential equations are solved numerically by using finite element method. The numerical values for governing physical parameters on velocity, temperature and concentration distributions are presented quantitatively and exemplified graphically. To ascertain the correctness of the numerical results the skin friction, Nusselt number values with in the flow regime are compared with the previously reported results in some limiting cases of the present investigation, and are found to be in good agreement. This investigation is relevant to electromagnetic nanomaterial manufacturing processes and also high temperature rotating chemical engineering systems exploiting magnetized nanofluids.