Abstract
We prove that the shear flow of the corotational Jeffrey body is unstable if the shear stress function is decreasing at the actual shear rate.
Similar content being viewed by others
References
J. Verhás, Acta Mechanica (Vienna),53, 125, 1984.
J. Verhás, Thermodynamics and Rheology (in Hungarian), Technical Publishing House, Budapest, 1985.
I. Gyarmati, Non-equilibrium Thermodynamics, Field Theory and Variational Principles, Springer, Berlin, Heidelberg, New York, 1970.
S.R. de Groot and P. Mazur, Non-equilibrium Thermodynamics, North-Holland Publ. Co., Amsterdam, 1962.
L.S. Pontryagin, Ordinary Differential Equations, Akadémiai Kiadó, (Publishing House of Hungarian Academy of Sciences) Budapest, 1972.
M. Slemrod, Shear Flows of Non-linear Viscoelastic Fluids, in: Trends in Applications of Pure Mathematics to Mechanics, Ed. by E. Kröner and K. Kirchgassner, Springer, Berlin, Heidelberg, New York, Tokyo, 1986.
J. Verhás, Int. J. Heat Mass Transfer,30, 1001, 1987.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Van, N.T.B. On the stability of shear flow. Acta Physica Hungarica 65, 109–113 (1989). https://doi.org/10.1007/BF03054125
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03054125