Archimedes law under bifurcations of solution and partial averaging of phenomenological variables

V. V. Larchenko

Don State Technical University, Gagarina pl. 1, Rostov-on-Don, 344010 Russia

Abstract: A model of the convective flow of viscous fluid is proposed with regard to possible finite “fluctuations” of thermophysical characteristics in a neighborhood of branch points. A method for the analysis of the influence of averaging on the values of phenomenological variables for the secondary flow and exact bounds on these values are calculated.

Key words: ramification equation, symplectic group, Godunov's orthogonal successive substitution method, secondary flow, flow of viscous fluid.

UDC: 519.634

Received: 04.03.2009
Revised: 03.10.2010

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:4, 661–675

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