Finite Difference Analysis of Unsteady MHD Free Convective Flow over Moving Semi-Infinite Vertical Cylinder with Chemical Reaction and Temperature Oscillation Effects

Abstract

In the present study, the effects of chemical reaction on unsteady free convection flow of a viscous, electrically conducting, and incompressible fluid past a moving semi-infinite vertical cylinder with mass transfer and temperature oscillation is studied. The dimensionless governing partial differential equations are solved using an implicit finite-difference method of Crank–Nicolson type, which is stable and convergent. The transient velocity, transient temperature, and transient concentration profiles are studied for various parameters. The local as well as average skin-friction, Nusselt number, and Sherwood number are also analyzed and presented graphically. The results are compared with available computations in the literature, and are found to be in good agreement.

Keywords

• Free convection; MHD; Implicit finite-difference method; Heat and mass transfer; First order chemical reaction; Temperature oscillation.