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 bernstein functions to simulate the solution of the resulting differential systems. the advantage of this method is that it does not require truncating or transforming the semi-infinite domain of the problem to a finite domain. in addition, this method reduces the solution of the problem the solution of a system of algebraic equations. graphical and tabular results are presented to investigate the influence of the solid volume fraction, types of nanoparticles, radiation and suction/blowing, magnetic 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.