Numerical Solutions of Unsteady Boundary Layer Flow due to an Impulsively Stretching Surface

Abstract

In this study, we investigate numerically theproblem of unsteady boundary layer flow caused by animpulsively stretching surface with constant viscous flow. Theboundary layer equations are transformed into similarityequations via the similarity transformation, which are thensolved numerically using an efficient implicit finite-differencescheme known as the Keller-box method. The numericalsolutions are obtained which are uniformly valid for alldimensionless time from initial unsteady-state flow to finalsteady-state flow in the whole spatial region. It is found thatthere is a smooth transition from the small-time solution to thelarge-time solution. The numerical results for the skin frictioncoefficients are compared with those of the analytical approachresults, and they are found to be in good agreement. Thenumerical solutions for the velocity profiles are also presentedin this paper.

Keywords

• Unsteady Flow
• Boundary Layer
• Impulsively Stretching Surface
• Numerical Solutions