Accession Number : AD0699115

Title :   BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM,

Corporate Author : DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V FRIEBERG-IM-BREISGAU (WEST GERMANY)

Personal Author(s) : Kirchgaessner,K. ; Sorger,P.

Report Date : 1970

Pagination or Media Count : 28

Abstract : A constructive method is presented for the calculation of the Taylor vortices as branching solutions of the nonlinear Navier-Stokes boundary-value problem. The method is based upon an abstract version of the theory of Schmidt-Lyapunov. The efficiency of the procedure is tested by comparison of numerical results with various experimental data for the mean torque and the higher harmonics. (Author)

Descriptors :   (*CYLINDRICAL BODIES, *SECONDARY FLOW), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), NAVIER STOKES EQUATIONS, PERTURBATION THEORY, FOURIER ANALYSIS, MATRICES(MATHEMATICS), HILBERT SPACE, POWER SERIES, NUMERICAL INTEGRATION, THEOREMS, WEST GERMANY

Subject Categories : Aerodynamics
      Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE