Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Snigerev B. A., Tazyukov F. K. The Feature of Non-Isothermal Viscoelastic Flows Around Sphere at Obstruction Condition. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, vol. 11, iss. 1, pp. 99-104. DOI: 10.18500/1816-9791-2011-11-1-99-104

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The Feature of Non-Isothermal Viscoelastic Flows Around Sphere at Obstruction Condition

Snigerev Boris Aleksandrovich, Research Institute of Mechanics and Machinery of Kazan Scientific Center of the Russian Academy of Sciences
Tazyukov Faruk Khosnutdinovich, Kazan National Research Technological University

The numerical study is performed for study of the viscoelastic flow characteristics and heat transfer around sphere. The flow of liquid is described by equations of conservation of mass, momentum and thermal energy with rheological constitutive equation of Phan-Thien Tanner(PTT). Thismodelrepresents generalizedMaxwell typemodel with two additional parameters developed from kinetic theory of polymers. The nonlinear behaviour of fluid velocity behind body (<>) is observed. The paper numerically shows the essential influence of relaxation time and heating of sphere for viscoelastic structure of the flow in wake. The heat transfer exchange in non-isothermal flow around sphere with slip and noslip condition on walls has been investigated.

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