Incompressible flow of a Newtonian fluid past a vertical plate with thermal and magnetic stresses
Abstract
This paper analyzes 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 predicting 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.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1994
 Bibcode:
 1994STIN...9519716F
 Keywords:

 Flat Plates;
 Fluid Dynamics;
 Incompressible Flow;
 Incompressible Fluids;
 Magnetic Fields;
 Newtonian Fluids;
 Temperature Distribution;
 Thermal Stresses;
 Velocity Distribution;
 Computerized Simulation;
 Energy Conservation;
 Flow Velocity;
 Heat Exchangers;
 Internal Energy;
 Fluid Mechanics and Heat Transfer