Effect of inertia on thermoelastic flow instability

A viscoelastic flow instability near the solid body rotation limit

“…For Λ 1, a new mode of instability, referred to as the thermoelastic mode, greatly destabilizes the base Couette flow. For a detailed account of the thermoelastic instability the reader is referred to [16] and references therein. In this work, we neglect nonisothermal effects since our primary focus is on establishing results in the isothermal limit.…”

Viscous heating effects on the linear stability of Poiseuille flow of an inelastic fluid

“…Recent theoretical and experimental studies show that thermal effects induced by viscous heating can significantly alter the stability characteristics of polymeric solutions [5][6][7][8].…”

“…They showed that viscous heating has a stabilizing effect on both long wave and short wave disturbances. In a recent study, Thomas et al [8] investigated the roles of the base flow temperature and inertia on the stability boundary of the Taylor-Couette flow of viscoelastic polymer solutions. They showed that increasing the fluid temperature results in multi-valued stability boundary in the We-Na number space.…”

On the influence of coupled and uncoupled fluid dynamic models in a large scale journal bearing

“…This additional term deals with the lack of shear thinning behaviour as well as a bounded extensional viscosity encountered with the Oldroyd-B model. The general form of these non-isothermal constitutive relations are [11], [13], [14]:…”

“…The relaxation time will have a dependence on pressure and temperature similar to the dependence of the viscosity. These shift factors are applied as follows [17]: (14) ( ) = , ( 0 ) (15) 3. Numerical Implementation…”