Incompressible Flow of a Newtonian Fluid Past a Vertical Plate with Thermal andMagnetic Stresses

摘要

I propose to analyze incompressible flow of a Newtonian fluid past a vertical,flat plate with thermal and magnetic stresses. This analysis will include deriving the equations governing the fluid velocity and the temperature distribution. The equations governing fluid velocity will be derived from a force balance approach. We shall consider the forces that act on a differentially small parcel of fluid to determine its behavior. The equations governing temperature will be derived from the principle of conservation of energy. Energy and temperature are closely related. In fact, in an incompressible fluid, temperature is a direct measurement of internal energy. These equations will then be programmed to provide a computer simulation for predicted velocity and temperature fields for various parameters. These simulations will tell us whether or not it is possible to 'shape' velocity and temperature distributions using magnetic fields. Possible applications include heat exchanges and any transfer process using fluid flow as a transport medium. Newtonian fluid, Incompressible flow, Fluid velocity, Magnetic fields, Heat exchanges, Transport medium, Temperature distribution.