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

Abstract

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

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Document Details

Document Type
Technical Report
Publication Date
May 19, 1994
Accession Number
ADA284856

Entities

People

  • David W. Fink

Organizations

  • United States Naval Academy

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computer Simulations
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Heat Transfer
  • Incompressible Flow
  • Magnetic Fields
  • Partial Differential Equations
  • Reynolds Number
  • Simulations
  • Three Dimensional
  • Two Dimensional
  • United States Naval Academy

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)