Accession Number : AD0701037

Title :   HYDRODYNAMIC STABILITY OF POISEUILLE FLOW IN A ROTATING PIPE.

Descriptive Note : Final rept. 1 Apr 68-1 Apr 69,

Corporate Author : ILLINOIS INST OF TECH CHICAGO

Personal Author(s) : Strohl,J. ; Lavan,Z.

Report Date : OCT 1969

Pagination or Media Count : 104

Abstract : The hydrodynamic stability of an incompressible Poiseville flow in a rotating pipe is studied. The analysis considers linear, viscid non-axisymmetric disturbances. For the case of a very large rotation, the range of axial wave numbers at which unstable modes may exist is determined, and a critical Reynolds number (based on axial flow), 82,93 is found. The transition is stationary with respect to a co-ordinate system that rotates with the pipe, and it occurs at the fundamental mode of the tangential disturbance. In addition, Reynolds number as well as the axial and tangential wave numbers for some values of growth rate are determined and eigenfunctions for some of the cases considered are calculated. (Author)

Descriptors :   (*PIPES, *LAMINAR FLOW), (*HYDRODYNAMICS, STABILITY), INCOMPRESSIBLE FLOW, ROTATION, REYNOLDS NUMBER, NUMERICAL ANALYSIS

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE