The boundary layer is a stationary fluid layer (such as water or air) that surrounds
a moving object immersed. Boundary layer flow has many practical applications on a
moving surface. For example, the extrusion of plastic sheets in aerodynamic and cooling
of infinite metallic plate in a cooling bath. Radiation effect on the flow and heat transfer
over an unsteady stretching surface are studied. The system in the fonn of partial
differential equation (PDE) are transformed to the system of Ordinary Differential
Equation (ODE) by similarity transformation. The ordinary differential equation (ODE)
systems are solved numerically by using Runge-Kutta Fehlberg method with shooting
technique. The effect of Prandtl number, radiation, unsteadiness and permeability
parameter on velocity and temperature are displayed graphically and discussed in details
for various values of different parameter. Result shown that the temperature and velocity
increases with increasing the numbers in Prandtl number, radiation parameter,
unsteadiness parameter and permeability parameter. For the further research, researchers
can consider other internal or external forces such as suction, injection, heat source and
etc on the different surface of fluid
