Linear stability and the nonmodal transient energy growth in compressible plane Couette flow are investigated for two prototype mean flows: (a) the uniform shear flow with constant viscosity, and (b) the nonuniform shear flow with stratified viscosity. Both mean flows are linearly unstable for a range of supersonic Mach numbers (M). For a given M , the critical Reynolds number (Re) is significa...

The unsteady force on particles in viscous compressible flows is studied. Based on earlier work by Parmar et al. (Phil. Trans. Roy. Soc. A, 366, 2161-2175, 2008) on the behavior of the unsteady force on particles in inviscid compressible flows, a simple model for the unsteady force at finite Mach and Reynolds numbers is proposed. This model involves a composite kernel that consists of the addit...

The stationary problem for the heat convection of compressible fluid is considered around the equilibrium solution with the external forces in the horizontal strip domain z0 < z < z0 + 1 and it is proved that the solution exists uniformly with respect to z0 ≥ Z0 . The limit system as z0 → +∞ is the Oberbeck-Boussinesq equations. Mathematics Subject Classification (2010). Primary 35Q35; Secondar...

An efficient and flexible parallel version of a Large-Eddy Simulation (LES) solver has been developed to simulate the compressible tip-flow of a rotor in hover. The solver employs an immersed-boundary technique in conjunction with a curvilinear structured grid and the dynamic model is used to model the subgrid scale (SGS) stress terms. The solver also employs a hybrid implicit-explicit time-dis...