Computational Treatment of Transient MHD Slip  Flow of an Arrhenius Chemical Reaction in a  Convectively Heated Vertical Channel

Muhammed M. Hamza; Muhammad Z. Shehu; Halima Usman; Emmanuel Omokhuale

doi:10.4314/cajost.v4i2.90

Authors

Muhammed M. Hamza 1Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
Muhammad Z. Shehu Department of Mathematics, Sokoto State University, Sokoto, Nigeria
Halima Usman Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
Emmanuel Omokhuale Department of Mathematical Sciences, Federal University Gusau, Zamfara, Nigeria

DOI:

https://doi.org/10.4314/cajost.v4i2.90

Keywords:

Transient, Magnetohydrodynamic (MHD) flow, Arrhenius chemical reaction, Newtonian heating, Navier slip

Abstract

A numerical computational treatment of transient electrically conducting fluid
with an Arrhenius chemical reaction in the presence of Navier slip and
Newtonian heating is obtained by using implicit finite difference scheme. A
transverse magnetic field is applied to the flow direction due to the exothermic
nature of the fluid. Numerical computation shows that, higher values of FrankKamenetskii parameter (λ) and Biot number (Br) significantly influence the
transport phenomenon. Irrespective of smaller or larger time, Magnetic
parameter (M) reduces velocity of the fluid as well as wall shear stress