THE STABILITY OF VISCOUS FLOW BETWEEN ROTATING CYLINDERS IN THE PRESENCE OF RADIAL TEMPERATURE GRADIENT.

Abstract

The differential equations for small perturbations of the basic viscous and heat flows in the problem indicated are derived, and the critical conditions are obtained for a number of cases, each treated in a separate section. The results obtained elucidate the physical equivalence of the viscous and thermal causes of instability and establish the effect of their interaction on instability in terms of an interaction parameter. It is thus found that transitions, which can be individually produced by separately applying velocity or temperature gradients, are strongly conditioned by the interaction of these gradients when applied simultaneously. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1962
Accession Number
AD0602046

Entities

People

  • Lionel Rintel
  • Paul Lieber

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Flow
  • Heat Transmission
  • Instability
  • Isotherms
  • Mathematics
  • Perturbations
  • Temperature Gradients
  • Transitions
  • Viscous Flow

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Thermal Physics or Thermal Science.