The linear stability in systems with intensive mass transfer—I. Gas (liquid)-solid

A linear analysis of the stability of the flow in a laminar boundary layer under conditions of intensive interphase mass transfer, where high mass fluxes through the phase boundary induce secondary flows, is suggested. These secondary flows have an effect of ‘injection’ or ‘suction’ in the boundary layer depending on the direction of the intensive interphase mass transfer, and they have a variable velocity along the length of the phase surface. They are also proportional to the local mass flux through the phase boundary. The critical Reynolds numbers are obtained at different intensities of non-linear mass transfer in the laminar boundary layer. The influence of the direction of the intensive interphase mass transfer on the hydrodynamic stability is shown as well. In the cases shown intensive interphase mass transfer is directed toward the phase boundary (suction) and the increase of its intensity leads to an increase in the stability of the flow. In the opposite case (injection), turbulization results at considerably smaller values of the Reynolds number.