| Abstract: | The Oberbeck-Boussinesq approximation for concentration convection in a mixture with an infinite number of components is constructed. The features of the formulation of the problem are described in detail. The large-parameter asymptotics are constructed for the linear problem of hydrodynamic stability. The problem is substantially simplified and equations not previously encountered in hydrodynamic stability theory are obtained. In the case of the non self-adjoint problem the asymptotics of the eigenvalues and eigenfunctions are obtained. Numerical results which, in particular, show that the spectrum of the boundary value problem is not connected are presented. The critical values obtained make it possible to solve the important practical problem of improving the process of mixture separation by the isoelectric focusing method.Rostov-on-Don. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, pp. 11–20, September–October, 1995. |
