Run up flow of a couple stress fluidbetween parallel plates

Abstract

Consider the flow of an incompressible fluid between two parallel plates,initially induced by a constant pressure gradient. After steady state is attained, thepressure gradient is suddenly with drawn while the plates are impulsively startedsimultaneously. The arising flow is referred to as run up flow and the present paperaims at studying this flow in the context of a couple stress fluid. Using Laplace transformtechnique, the expression for velocity is obtained in Laplace transform domain which islater inverted to the space time domain using a numerical approach. The variation ofvelocity with respect to various flow parameters is presented through graphs