Diffusion induced unsteady boundary flows in a wedge-shaped trough

The plane problem of the formation stratification in a wedge-shaped trough filled with a homogeneous incompressible liquid is considered when a constantly acting source of admixture is inserted in the bottom of the trough. The low intensity of the induced diffusive and convective flows which arise enables one to use the methods of perturbation theory. Application of the method of integral transforms to the resulting linearized systems of equations gives the solution for the velocity and admixture fields in the form of quadrature formulae, on the basis of which the characteristic quantities and scales of the flows which arise can be determined. (C) 1999 Elsevier Science Ltd. All rights reserved.