Abstract
This research studies the influence of thermal radiation in unsteady magnetogydrodynamic (MHD) free convection flow of Jeffrey fluid with ramped wall temperature. The fluid is taken as electrically conducting under the action of a magnetic field applied in a direction perpendicular to the flow. The problem is modelled in terms of partial differential equations with some physical conditions. Appropriate dimensionless variables are employed to the governing equations and solved numerically using Finite Difference Method (FDM). Numerical results for velocity and temperature profiles are obtained in various graphs and discussed in details for embedded flow parameters. On one hand, it is found that velocity increases with increasing Grashof number, radiation parameter and time for both ramped and isothermal wall temperature. On the other hand, increasing Prandtl number, Hartmann number and material parameter of Jeffrey fluid decreases fluid velocity. Besides that, increasing Prandtl number tends to decrease the thermal boundary layer thickness whereas it decreases with increasing radiation parameter.