Coquette flow between two parallel infinite plates in presence of transverse magnetic field

Abstract

This paper studies steady laminar flow of viscous incompressible fluid between two parallel infinite plates when upper plate is moving with constant velocity and lower plate is held stationary under the influence of transverse magnetic field. Resulting expression is solved by the application of Laplace transform and analytical expression is obtained. Further analysis results show that the velocity profiles decrease as the Hartman number increases. It is suggested that a similar approach can be used to solve some of the meteorological problems which involve differential equation and are difficult to solving directly by applying boundary conditions.