Accession Number:

AD0647603

Title:

ON THE EIGENVALUES OF COUETTE FLOW IN A FULLY-FILLED CYLINDRICAL CONTAINER

Descriptive Note:

Final rept.

Corporate Author:

FRANKLIN INST RESEARCH LABS PHILADELPHIA PA

Personal Author(s):

• Reddi, M. M.

Report Date:

1967-01-01

Pagination or Media Count:

41.0

Abstract:

For a stationary flow in a cylindrical container of the Couette type in an outer radial zone, and of zero velocity in an inner radial zone, the normal mode equations are derived. For negative wave numbers in the theta- direction, these equations are found to have a singularity. The eigenvalues are calculated by initial value methods employing the Runge-Kutta-Gill integration procedure. Values of the dependent function and their derivatives at the singularity are calculated by linear extrapolation coupled with continuity requirements. Tables of eigenvalues for various slenderness ratios of the cylinder and various radial nodes are given for theta-wave numbers of -1.

Descriptors:

• *COUETTE FLOW
• BOUNDARY VALUE PROBLEMS
• CONTAINERS
• CYLINDRICAL BODIES
• EQUATIONS
• SLENDER BODIES

Subject Categories:

• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE