Study of some exact solutions of Navier-stokes equations for steady flow of viscous fluid
Abstract
The Navier-Stokes equations are the system ofnon-linear partial differential equations governing
the motion of a Newtonian fluid. This study is based on three kind of flows of obtaining the
Exact solutions of Navier-Stokes equations which are:Flows for which the non-linear terms of
Navier-Stokes equations vanish identically such as parallel flow,Flow with similarity properties
such that the flowequations reduces to set of ODEs-Ordinary differential equations(Stagnation
point flowwas used as an example of such flow)and Flows for which the vorticity function is
so chosen that the governing equations reduces to a linear equation.In each case the governing
equations were formulated and the method of obtaining the exact solutions was analysed.
Citation
M.Sc (Applied Mathematics)Sponsorhip
University of NairobiPublisher
School of Mathematics, University of Nairobi
Description
Master of Science Thesis