Restrictions upon instabilities of plane and helical gas flows
Abstract
A refinement of Howard's semicircle theorem for plane flows is presented in which a merging with Miles's theorem occurs. Also a restriction upon the unstable modes of a wide class of helical gas flows is given. In some cases the bound is exact, while it reduces to Howard's theorem in several instances. Many partially overlapping variations of the result are possible.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 October 1979
 DOI:
 10.1098/rspa.1979.0125
 Bibcode:
 1979RSPSA.368..225W
 Keywords:

 Flow Stability;
 Flow Theory;
 Gas Flow;
 Helical Flow;
 Flow Geometry;
 Matrices (Mathematics);
 Three Dimensional Flow;
 Fluid Mechanics and Heat Transfer