Some Features of Hydrodynamic Instability of a Plane Channel Flow of a Thermoviscous Fluid

Abstract

In this work we study the effect of the exponential temperature dependence of the incompressible fluid viscosity on the critical parameters of the flow hydrodynamic stability in a flat channel at various specified values of the wall temperature. The temperature field perturbations are thought to be absent. The eigenvalue spectra for the generalized Orr-Sommerfeld equation are constructed at sufficiently large Peclet numbers. The spectra structure, neutral stability curves, and the critical Reynolds number are shown to largely depend on the fluid properties that are determined by the exponential viscosity function.