TRANSIENT MAGNETOHYDRODYNAMIC FLOW IN AN ANNULAR CHANNEL

Abstract

Unsteady parallel flow of an electrically conducting viscous incompressible fluid in an annular channel in the presence of a radial transverse magnetic field is considered. Assuming the fluid to be at rest at the initial moment, the velocity distribution and magnetic field components are obtained in terms of Bessel and lommel functions and in the f%m of convolution integrals taking the longitudinal pressure as an arbitrary function of time. Further, taking a step function for the pressure gradient, these expressions are integrated. The influence of the magnetic field on the annular flow is investigated. Some numerical examples are given.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1963
Accession Number
AD0401188

Entities

People

  • M. N. Narasimhan

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Continents
  • Contracts
  • Electromagnetic Fields
  • Equations
  • Flow
  • Fluid Flow
  • Magnetic Fields
  • Mathematics
  • Power Series
  • Pressure Gradients
  • Steady Flow
  • Step Functions
  • Transverse
  • United States
  • Unsteady Flow
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.