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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 4, Pages 718–724 (Mi zvmmf4864)  
The second approximation of Navier–Stokes equations

A. A. Kaspar'yants

ul. Akademika Koroleva 64B-8, Odessa, 65104 Ukraine
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Abstract: Equations of motion of a viscous Newtonian fluid are derived, which, in addition to the terms of the Navier–Stokes equations, contain additional terms taking into account the relaxation effect of vorticity on the rate of strain. An independent experimental method for measuring a new parameter involved in the equations is described. As an application of the Navier–Stokes equations in the second approximation, Stokes’ hypothesis is rigorously substantiated. New similarity criteria for incompressible viscous flows are presented. The Poynting effect for viscous incompressible Newtonian fluids is theoretically explained.
Key words: viscous Navier–Stokes equations, second approximation of the Navier–Stokes equations.
Received: 06.07.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 4, Pages 684–689
DOI: https://doi.org/10.1134/S096554251004010X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Kaspar'yants, “The second approximation of Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010), 718–724; Comput. Math. Math. Phys., 50:4 (2010), 684–689
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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