Taylor stability of a thermoviscoelastic fluid in couette flow

Abstract

Taylor stability in Couette flow of a thermoviscoelastic fluid between two rotating coaxial circular cylinders is investigated employing the constitutive theory of Eringen and Koh. The stability problem is reduced to a characteristic value problem which is solved to obtain stability criteria in terms of critical Values of Taylor numbers. The results are compared with those of the classical viscous fluids and viscoinelastic fluids and the stabilizing effects of the thermoviscoelastic nature of the fluid are discussed.