SOLUTION OF THE SOMMERFELD-SEXL CHARACTERISTIC EQUATION FOR THE STABILITY OF COUETTE FLOW
Annual summary rept. no. 4, 1 Sep 1963-31 Aug 1964
TECHNISCHE HOCHSCHULE AACHEN (GERMANY F R) INST FUER MECHANIK
Pagination or Media Count:
The Sommerfeld-Sexl transcendental equation which yields the stability parameters of Couette flow is first transformed. Then by introducing the Wronski determinant it is possible to eliminate the unknown Bessel functions of imaginary argument and imaginary order, which until then prohibited the solution of the original Sommerfeld-Sexl equation. A series expansion in the wall distance with the stability parameters in polynomial form was obtained which can be solved numerically for any modes and widths of the gap. For a ratio of the inner and outer radius of 2 stability was found for the first and third mode.
- Fluid Mechanics