Laplace Transform Solution Of Hydromagnetic Steady Flow Of Viscous Incompressible Fluid Between Two Parallel Infinite Plates
Abstract
This project aims at getting the solution of hydro magnetic steady flow of viscous
incompressible fluid between two parallel infinite plates using the Laplace transform method.
The upper plate is moving with constant velocity and the lower plate is held stationary under the
influence of inclined magnetic field.
We shall convert the boundary conditions of the fluid flow into initial conditions. The
initial conditions are determined and the problem is solved by use of Laplace Transform.
In chapter one, we shall major in the definition of Hydromagnetic steady flow together
with where it can be applied.
In chapter two we shall introduce the Laplace Integrals and Laplace transforms as well as
some of their properties.
Finally in chapter three, we shall develop the equations governing the hydromagnetic
flow and in this chapter we shall obtain these basic equations. We shall also get the solution of
the hydromagnetic steady flow of viscous incompressible fluid between two parallel infinite
plates using the Laplace transform and discus the results which are presented in form of a graph
for selected Hartmann numbers.
Publisher
University of Nairobi School of Mathematics