Stability of compressible shear flows

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows

Global linear stability analysis of weakly non-parallel shear flows

The global linear stability of incompressible, two-dimensional shear flows is investigated under the assumptions that far-field pressure feedback between distant points in the flow field is negligible and that the basic flow is only weakly nonparallel, i.e. that its streamwise development is slow on the scale of a typical instability wavelength. This implies the general study of the temporal ev...

Spatial Stability of Inviscid Homogeneous Parallel Shear Flows

In this paper the spatial instability of Kuo’s problem has been discussed. Some stability results have been established for 0 > r k . The spectrum of eigen values has been obtained.

Modelling Compressible Multiphase Flows

We give in this paper a short review of some recent achievements within the framework of multiphase flow modeling. We focus first on a class of compressible two-phase flow models, detailing closure laws and their main properties. Next we briefly summarize some attempts to model two-phase flows in a porous region, and also a class of compressible three-phase flow models. Some of the main difficu...

On the Stability of Stratified Flows with a Horizontal Shear

Howard’s semi-circle theorem [4] states that the complex wavespeed for an unstable mode must fall within the range of values of the base flow, a conclusion that has proven to be of fundamental importance for a wide variety of flow phenomena. Howard’s original proof applies to a two-dimensional basic state, u(z), where z is the vertical distance and u is the horizontal velocity, with two dimensi...