2011 , Volume 16, № 4, p.120-133

An invariant solution to the problem of combined motion of a binary mixture and viscous fluid with a common interface in a thermally isolated cylindrical tube is investigated. The motion is induced by longitudinal pressure gradient in the mixture. The problem is reduced to the conjugate initial-boundary value problem for parabolic equations. Stationary and transient solutions of this problem were obtained. Numerical calculations show that a stationary distribution is reached when t to infty , if the pressure gradient is stabilized in time at infinity.