Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method

Authors

Department of Mathematics, Ambo University, Ambo, Ethiopia

Abstract

In this article, the Hall and ion-slip effects on a mixed convection flow of an
electrically conducting nanofluid over a stretching sheet in a permeable medium
have been discussed. Using the similarity transformations, the partial differential
equations corresponding to the momentum, energy, and concentration equations
are transformed to a system of nonlinear ordinary differential equations which are
solved numerically using a spectral relaxation method (SRM). The effects of
significant parameters on the velocities, temperature, and concentration profiles are
analyzed graphically. Moreover, the results of the skin friction coefficients, local
Nusselt number, and Sherwood number are determined numerically. The results of
the analysis showed that the velocity profile in the flow direction increases with an
increase in mixed convection parameter λ, Hall parameter βh, and ion-slip parameter
βi
, and it decreases with an increase in the magnetic parameter M. Furthermore,
temperature and concentration profiles decrease as the mixed convection parameter
λ and buoyancy ratio Nr increase. It is also observed that the skin friction coefficients,
local Nusselt number, and Sherwood number increase with an increase in the Hall
parameter βh, mixed convection parameter λ, and buoyancy ratio Nr.

Keywords