Exact Solution of the Couette–Poiseuille Type for Steady Concentration Flows
Journal: Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
Year: 2022

This article presents a new exact solution for predicting the properties of the velocity field, pressure, and impurity distribution in steady shear flows of viscous incompressible fluids in an extended horizontal layer. The solutal convection was described using a mathematical model based on the Oberbeck–Boussinesq equations with a linear dependence of density on concentration. It was assumed that the layer at one of its boundaries (the lower one) is impermeable to the substance (impurity) disso