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 J. Sib. Fed. Univ. Math. Phys., 2011, Volume 4, Issue 3, Pages 308–319 (Mi jsfu189)

On motion of a flooded jet of binary mixture in a viscous fluid

Victor K. Andreevab, Natalya L. Sobachkinac

a Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
b Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
c Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The invariant solution to the problem of motion of a flooded jet of binary mixture in a viscous heatconducting fluid is investigated. The motion is induced by longitudinal pressure gradient in a mixture. The problem reduces to solving a conjugate initial-boundary value problem for parabolic equations. Stationary solution of problem is determined and it is shown that this solution is not the limiting one at different pressure gradients values. Using Laplace transformation properties the exact analytical solution was obtained. Some examples of numerical reconstruction of the velocities, temperatures and concentration fields depending on geometric and physical parameters were considered.

Keywords: binary mixture, flooded jet, pressure gradient, stationary solution, Laplace transformation.

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UDC: 532.516
Accepted: 10.04.2011

Citation: Victor K. Andreev, Natalya L. Sobachkina, “On motion of a flooded jet of binary mixture in a viscous fluid”, J. Sib. Fed. Univ. Math. Phys., 4:3 (2011), 308–319

Citation in format AMSBIB
\Bibitem{AndSob11} \by Victor~K.~Andreev, Natalya~L.~Sobachkina \paper On motion of a~flooded jet of binary mixture in a~viscous fluid \jour J. Sib. Fed. Univ. Math. Phys. \yr 2011 \vol 4 \issue 3 \pages 308--319 \mathnet{http://mi.mathnet.ru/jsfu189}