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On the limitations of the complex wave velocity in the instability problem of hetrogeneous shear flows.
by
Mihir B. Banerjee
INDIA
Coauthors: Riyaz Ahmad Khan and Wadood Ahmad
Banerjee Shandil's (1995) semi-circle theorem when applied to the stability problem of hetrogeneous shear flows leads to a fourth degree curve. In the Cr Ci - Plane within which the point (Cr, Ci) Ci>0 must necessarily lie wherein Cr+iCi is the complex wave velocity of an orbitrary unstable perturbation wave. This fourth degree curve contains a new parameter ì3 which is the third central moment of the probability distribution of the basic velocity field U. It is shown that this extended fourth degree curve improves upon the semi-circle region as specified by L.N. Howard in his famous paper of 1961.
Date received: October 15, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # carm-91.