The Stability of Parallel Flows of Fluids with Memories

摘要

The equations governing the stability of plane parallel flows are developed for three models of fluids with memories. Asymptotic solutions valid for large Reynolds numbers are obtained and the effect of the memory are shown to be destabilizing. The approach to the problem allows evaluation of how fast a memory must fade to allow evaluation of the stresses in power series in the time interval. An alternate approach to inverting convected derivatives is also presented. (Author)