INTERNAL MHD CHANNEL FLOWS INCLUDING HALL EFFECT AND VARIABLE FLUID PROPERTIES

Abstract

An analysis is presented of MHD channel flow with Hall effect and variable fluid properties. Because of the highly nonlinear nature of the governing conservation equations, a straight numerical analysis of the equations is followed based on the implicit finite difference method. The analysis considers the two-dimensional flow in the electric field plane in which the channel walls are electrode surfaces. Because of the presence of the Hall effect, a transverse pressure gradient is induced in the flow which necessitates the use of two equations of motion in the longitudinal and transverse directions. The analysis model employed is the so-called slender channel model in which the boundary layer forms of the equations of motion are applied across the entire channel width. Because the boundary layer equations are parabolic, it is possible to integrate the equations in a forward marching manner by starting with initially prescribed velocity and enthalpy profiles at the channel entrance.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0701386

Entities

People

  • James R. Maus
  • William T. Snyder

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Channel Flow
  • Channel Models
  • Computational Fluid Dynamics
  • Conductivity
  • Difference Equations
  • Differential Equations
  • Electromagnetic Fields
  • Equations
  • Equations Of Motion
  • Fluid Mechanics
  • Geometry
  • Hall Effect
  • Numerical Analysis
  • Pressure Distribution
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Plasma Physics.