Abstract
We study the analytical and numerical stability of the two-dimensional adiabatic flow of an incompressible Newtonian liquid with temperature-dependent viscosity. We show that the uniform shearing is the asymptotic solution if the time becomes very large in a rate dependent on the temperature sensitivity and the referencial Eckert and Reynolds numbers. Numerical solutions for flows between parallel plates caused by steady boundary velocity are presented. The results indicate that the boundary velocity controls the thermomechanical process in complete agreement with the analytical behaviour of the flow.
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