Accession Number : AD0607023

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

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Genensky,Samuel M.

Report Date : 03 SEP 1958

Pagination or Media Count : 13

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)

Descriptors :   (*FLUID MECHANICS, THEOREMS), (*STABILITY, LAMINAR FLOW), TWO DIMENSIONAL FLOW, FLUID FLOW, INCOMPRESSIBLE FLOW, BOUNDARY VALUE PROBLEMS, EQUATIONS, MOTION

Distribution Statement : APPROVED FOR PUBLIC RELEASE