A GENERAL THEOREM CONCERNING THE STABILITY OF A PARTICULAR NON-NEWTONIAN FLUID,

Abstract

It was the intention of the present paper to prove a theorem concerning the stability of a particular nonNewtonian fluid suggested to the author by Professor R. S. Rivlin of Brown University. The method used in proving this theorem is similar to that employed by H. Schlicting in his proof of a similar theorem for an inviscid fluid which was originally established by Lord Rayleigh. The acceleration gradients introduced by the non-Newtonian fluid model into the constitutive equations were found to alter the stability criterion set forth by Rayleigh for an inviscid fluid. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 03, 1958
Accession Number
AD0607023

Entities

People

  • Samuel M. Genensky

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Fluids
  • Mathematics
  • Nonnewtonian Fluids
  • Partial Differential Equations
  • Universities

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra