Accession Number : AD0661570

Title :   STABILITY OF TWO-DIMENSIONAL POISEUILLE FLOW,

Corporate Author : NORTH AMERICAN ROCKWELL CORP ANAHEIM CALIF OCEAN SYSTEMS OPERATIONS

Personal Author(s) : Radbill,J. R. ; van Driest,E. R.

Report Date : SEP 1967

Pagination or Media Count : 40

Abstract : The report is the second in a series in the exact numerical calculations of the stability of viscous flows by the method of quasilinearization. It describes results for the growth or decay of Tollmien-Schlichting type disturbances in a two-dimensional Poiseuille or channel flow. Results are presented for the second, third, and fourth modes of instability, as well as for the first (fundamental) mode. The computations were carried out by applying the quasilinearization method to the Orr-Sommerfeld equation. The minimum critical Reynolds number for the channel flow was determined to be 11500 (based on maximum channel speed and full channel width). The second mode of the disturbance was investigated in the neighborhood of the minimum critical Reynolds number of the first mode and found to have an amplification exponent of -0.057. The damping of the second mode was found to decrease with increasing Reynolds number, but its neutral curve was not located. The shapes of the eigenfunctions for the third and fourth modes were also determined. (Author)

Descriptors :   (*TWO DIMENSIONAL FLOW, STABILITY), VISCOSITY, NUMERICAL ANALYSIS, TURBULENCE, REYNOLDS NUMBER, MATRICES(MATHEMATICS)

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE