Instability in strongly stratified plane Couette flow, with application to supercritical fluids.

ABSTRACT: This paper addresses the stability of plane Couette flow in the presence of strong density and viscosity stratifications. It demonstrates the existence of a generalised inflection point that satisfies the generalised Fjørtoft's criterion of instability when a minimum of kinematic viscosity is present in the base flow. The characteristic scales associated with this minimum are identified as the primary controlling parameters of the associated instability, regardless of the type of stratification. To support this finding, analytical stability models are derived in the long wave approximation using piecewise linear base flows. Numerical stability calculations are carried out to validate these models and to provide further information on the production of disturbance vorticity. All instabiliti

SUBMITTER: Bugeat B 

PROVIDER: S-EPMC7615809 | biostudies-literature | 2024 Apr

REPOSITORIES: biostudies-literature