Quadratic Polynomial Velocity Profile in Laminar Boundary Layer Thickness

Abstract

Motion of uid elements can be described by the Navier-Stokes equations. They arise from the use of Law of motion to a uid. In this investigation, two dimensional Navier-Stokes have been engaged. Then they are applied to an incompressible viscous uid movement down an inclined plane with net ow. These leads to examining the effects to the velocity of the motion at various angles of inclination and finding the boundary layer thickness. Viscous laminar incompressible fluid ow also ow on an inclined position which makes it necessary to investigate the ow on an inclined plane. Results that have been achieved are of the ow over horizontal at plate. Solution that has been obtained involves a at photographic film being pulled up by a processing bath by rollers at an angle \(\theta\) to the horizontal. Quadratic polynomial function approximate velocity profile has been obtained under initial boundary layer conditions. This velocity profile has been used in momentum integral equation for ow over an inclined plane to get the boundary layer thickness. Boundary layer thickness is one of the parameters that is used to obtain the ow velocity down inclined plane.