Geodesic
Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids II. Rheological models
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 133-142 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{TMF_1983_57_1_a15,
     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},
     pages = {133--142},
     year = {1983},
     volume = {57},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a15/}
}
TY  - JOUR
AU  - S. V. Tishchenko
TI  - Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids II. Rheological models
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 133
EP  - 142
VL  - 57
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a15/
LA  - ru
ID  - TMF_1983_57_1_a15
ER  - 
%0 Journal Article
%A S. V. Tishchenko
%T Nonequilibrium statistical thermodynamics and rheology of non-Newtonian fluids II. Rheological models
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 133-142
%V 57
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a15/
%G ru
%F TMF_1983_57_1_a15
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/

[1] Tischenko S. V., TMF, 55:2 (1983), 114–125

[2] Bird R. B., Armstrong R. C., Hassager O., Dynamics of Polymeric Liquids, v. 1, John Wiley, N. Y., 1977

[3] Harris J., Rheology and non-Newtonian flow, Longman, L., 1977 | Zbl

[4] Trusdell K., Pervonachalnyi kurs ratsionalnoi mekhaniki sploshnykh sred, Mir, M., 1975

[5] Skhouten Ya. A., Tenzornyi analiz dlya fizikov, Nauka, M., 1965

[6] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR

[7] Goddard J. D., Miller C., Rheol. Acta, 5 (1966), 177–184 | DOI | Zbl

[8] Oldroid J. G., Proc. Roy. Soc., 245A (1958), 278–297 ; Rheol. Acta, 1 (1961), 337–344 | DOI | DOI