Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

The numerical modeling of free leaking of hydrocarbon fluid from the horizontal underwater channel

Kutushev A.G., Zimakov M.V., Rodionov S.P.

Tumen branch of ITAM SB RAS (Tyumen)

For description of the process the mathematical model of unsteady two-dimensionallamin laminar motion of the nonuniform thermodinamically-equilibrium mixture of viscous incompressible fluids including the conservation equations of masses of mixture and its components and also the law of conservation of momentum of mixture in the form of the equations of Navier-Stokes has been used. The effective viscosity of a mixture has been found from the dependence of Kern. The numerical investigations of without-pressure leaking of the hydrocarbon fluids caused by the effect of the buoyant force of the Archimedes because of difference of densities of phases has been carried out by the method of control volume. The calculations of fields of flowing and concentrations have been realized by the through method in pipe and beyong-pipe spaces. It has been shown satisfactory correspondence between rated (calculated) and experimental dates.

Note. Abstracts are published in author's edition

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