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Research Paper | Mathematics | Kenya | Volume 9 Issue 11, November 2020 | Rating: 6.6 / 10

Effects of Magnetic Parameter and Injection Velocity on Unsteady Magnetohydrodynamic Fluid Flowover a Vertical Stretching Sheet in the Presence of Induced Magnetic Field

Nyakebogo Abraham Osogo | Kerongo Joash Morara | Obogi Robert Karieko

Abstract: A study of the effects of variable magnetic parameter and injection velocity on unsteady magnetohydrodynamic fluid flow, a viscous, incompressible fluid over a vertical stretching sheet medium taking into account induced magnetic field was carried out. The magnetic induction equation governing the fluid flow was solved using implicit finite difference method. The resulting set of algebraic equation was solved using Matlab in computer program. The numerical solutions for induced magnetic field profiles are depicted graphically to show the effects of injection velocity (s), Prandtl number (Pr) and magnetic field parameter (M) on induced magnetic field profiles. The results showed that an increase in injection velocity leads to an increase in induced magnetic field whereas an increase in magnetic parameter leads to a decrease in induced magnetic field. Also, a decrease in Prandtl magnetic number leads to an increase in induced magnetic field.

Keywords: Injection velocity, Magnetic field parameter, Magnetohydrodynamics and implicit finite difference scheme

Edition: Volume 9 Issue 11, November 2020,

Pages: 709 - 714