Abstract
In this article, we have considered unsteady squeezing flow between two infinite parallel plates. The time-dependent magnetic field normal to the plate surface is taken into consideration with fluid thermal radiations. Fluid dynamic viscosity is sensitive to temperature. Governing partial differential equations (PDE) are transformed into ordinary differential equations (ODE) by introducing suitable similarity transformations. The reduced highly nonlinear ordinary differential equations are then solved numerically with the help of the Keller box method. Numerical and graphical results depict that the velocity profile decreases with rising values of variable viscosity parameter, while fluid temperature distribution increases. Results for local skin friction and Nusselt numbers are also computed. Numeric shows that skin friction coefficient, as well as the Nusselt number, decreases with variable viscosity parameter. The heat transfer rate declines with the radiation parameter but escalates for the squeezing parameter.