Accession Number : ADA193479

Title :   Computation of the Eigenvalues for Perturbations of Poiseuille Flow Using a Two-Point Boundary Value Method.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Ache, Gerardo A

PDF Url : ADA193479

Report Date : Oct 1987

Pagination or Media Count : 33

Abstract : The decay rates are computed for stationary perturbations of Poiseuille flow in channels and pipes. The decay rates are found by solving eigenvalue problems of ordinary differential equations, where the eigenvalues give the rate of decay for the perturbation. A two-point boundary value method is used to compute the eigenvalues yielding efficient and accurate calculations. For the channel flow problem, the results are in agreement with previous calculations however, the problem of determining the rate of decay for a fluid motion in a pipe has not been considered before. For the Stokes problem in a pipe the eigenvalues, governing the rate of decay, are complex. Computations are carried out for small and moderate Reynolds numbers, also high Reynolds number computations were done to show the effectiveness of this method. Keywords: Navier Stokes; Eignevalue problem; Poiseuille flow; Reynolds number; Asymptotic.

Descriptors :   *EIGENVALUES, *PERTURBATIONS, *INCOMPRESSIBLE FLOW, BOUNDARY VALUE PROBLEMS, CHANNEL FLOW, COMPUTATIONS, DECAY, DIFFERENTIAL EQUATIONS, FLUIDS, HIGH RATE, MOTION, PIPES, PROBLEM SOLVING, RATES, REYNOLDS NUMBER, STATIONARY, STEADY FLOW, NAVIER STOKES EQUATIONS, VISCOUS FLOW, ASYMPTOTIC SERIES

Subject Categories : Fluid Mechanics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE