A Numerical Simulation of MHD Flow and Radiation Heat Transfer of Nanofluids Through a Porous Medium with Variable Surface Heat Flux and Chemical Reaction

In this paper, the problem of MHD flow and radiation heat transfer of nanofluids against a flat plate in porous medium with the effects of variable surface heat flux and first-order chemical reaction is investigated numerically. Three different types of nanoparticles, namely Cu, Al2O3 and Ag are considered by using water as a base fluid with Prandtl number P r = 6.2. The governing partial differential equations can be written as a system of nonlinear ordinary differential equations over a semi-infinite interval using a similarity transformation. A new effective collocation method is proposed based on exponential Bern- stein functions to simulate the solution of the resulting differential sys- tems. The advantage of this method is that it does not require truncat- ing or transforming the semi-infinite domain of the problem to a finite domain. In addition, this method reduces the solution of the problem to the solution of a system of algebraic equations. Graphical and tabu-lar results are presented to investigate the influence of the solid volume fraction, types of nanoparticles, radiation and suction/blowing, mag-netic field, permeability, Schmidt number and chemical reaction, on velocity, temperature and concentration profiles. The obtained results of the current study are in excellent agreement with previous works.