Abstract
We study the analytical and numerical behaviour of the adiabatic shearing flow of an incompressible Newtonian liquid with temperature-dependent viscosity, under a time-periodic boundary velocity. We give sufficient stability conditions for the solution of the governing balance and constitutive equations and we present numerical results for the asymptotic convergence of the flow. Essentially, we verify that the stress decays to a time oscillatory function while the temperature exhibits a strongly non-uniform distribution with its maximum value tending to infinity with time.
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Communicated by D. E. Beskos, December 8, 1989
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Rigatos, A.P., Charalambakis, N.C. Stability conditions and numerical solutions on oscillatory thermoviscous shearing. Computational Mechanics 6, 463–471 (1990). https://doi.org/10.1007/BF00350426
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DOI: https://doi.org/10.1007/BF00350426