Stability conditions and numerical solutions on oscillatory thermoviscous shearing

Computational Mechanics - Tập 6 - Trang 463-471 - 1990
A. P. Rigatos1, N. C. Charalambakis1
1Division of Physics and Applied Mechanics, School of Technology, Aristotle University of Thessaloniki, Thessaloniki, Greece

Tóm tắt

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.

Tài liệu tham khảo

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