Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids~II. Rheological models
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 133-142

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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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     author = {S. V. Tishchenko},
     title = {Nonequilibrium statistical thermodynamics and rheology of {non-Newtonian} {fluids~II.} {Rheological} models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {57},
     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a15/}
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S. V. Tishchenko. Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids~II. Rheological models. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 133-142. http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a15/