Chemical reaction effect on MHD boundary-layer flow of two-phase nanofluid model over an exponentially stretching sheet with a heat generation

Abstract

An analysis has been carried out to study a problem of the chemical reaction and heat generation or absorption effects on MHD mixed convective boundary layer flow of a nanofluid through a porous medium due to an exponentially stretching sheet. Nonlinear partial differential equations are converted into a set of ordinary differential equations by similarity transformations. The transformed equations are solved numerically by using an efficient numerical shooting technique with a fourth–fifth order Runge–Kutta method scheme. The results corresponding to the dimensionless the velocity, temperature, concentration profiles and the reduced Nusselt number, Sherwood number and skin friction coefficient are displayed graphically for various pertinent parameters. It was found that Nusselt number Rex−1/2Nux is a decreasing function of the heat generation or absorption parameter Q and the chemical reaction parameter χ, but Sherwood number Rex−1/2Shx is an increasing function of the heat generation or absorption parameter Q and chemical reaction parameter χ. The skin friction coefficient Rex−1/2Cf is an increasing function of heat generation or absorption parameter Q while decreasing function of the chemical reaction parameter χ. Comparison with previously published work is performed and excellent agreement is observed.