Department of Mechanical and Aerospace Engineering
Case Western Reserve University

Abstract-
Transient growth arises through the coupling between slightly damped, highly oblique (nearly streamwise) T-S and Squire modes leading to algebraic growth followed by exponential decay outside the T-S neutral curve. A weak transient growth can also occur for two-dimensional or axisymmetric modes since the Orr-Sommerfeld operator and its compressible counterpart are not self-adjoint, therefore their eigenfunctions are not strictly orthogonal. So transient growth is a candidate mechanism for many examples of bypass transition. The original transient growth theories were all temporal. However spatial growth formulations are now emerging including their extension to compressible flow with heat transfer. The relevance to bypass transition will be developed through the examples of Poiseuille pipe flow, the hypersonic blunt body paradox and effects of surface roughness.

GALCIT Home Page

Fluids Seminar Page