ADIABATIC SHEARING OF AN INCOMPRESSIBLE FLUID WITH TEMPERATURE-DEPENDENT VISCOSITY UNDER PERIODIC OR STEADY-BOUNDARY CONDITIONS
- 1 January 1985
- journal article
- research article
- Published by Taylor & Francis in Journal of Thermal Stresses
- Vol. 8 (4) , 425-434
- https://doi.org/10.1080/01495738508942247
Abstract
We consider adiabatic shearing flows of Newtonian fluids with temperature-dependent viscosity under periodic boundary conditions for velocity and stress. We show that the flows exist and are well behaved for all time, provided the rate of change of viscosity with temperature and the initial temperature satisfy appropriate bounds. We compare the results with the case of shearing under steady boundary conditions.Keywords
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