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TMF, 1983, Volume 57, Number 1, Pages 133–142 (Mi tmf2247)  

Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids II. Rheological models

S. V. Tishchenko


Abstract: The generalized transport relations obtained in the first part of the work are used to derive rheological relations describing different types of flows of non-Newtonian fluids. Rheological models are obtained by expanding the space-time correlation functions with respect to the time derivatives of the macroscopic fields near a frozen nonequilibrium state under the assumption that there exist two time scales. A connection is established between these models and the relations known from phenomenological theology, including the Goddard–Miller and Oldroyd relations.

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English version:
Theoretical and Mathematical Physics, 1983, 57:1, 1039–1044

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Received: 01.12.1982

Citation: S. V. Tishchenko, “Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids II. Rheological models”, TMF, 57:1 (1983), 133–142; Theoret. and Math. Phys., 57:1 (1983), 1039–1044

Citation in format AMSBIB
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\by S.~V.~Tishchenko
\paper Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids~II. Rheological models
\jour TMF
\yr 1983
\vol 57
\issue 1
\pages 133--142
\mathnet{http://mi.mathnet.ru/tmf2247}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=726546}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 57
\issue 1
\pages 1039--1044
\crossref{https://doi.org/10.1007/BF01028183}
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