Abstract
We study a non-isothermal two-phase flow in a closed cavity heated from the sidewall, where one of the phase is a gas (or a liquid) and another phase consists of solid particles. The particles are subjected to the gravitational precipitation and the drag exerted by the flow. In the framework of the generalized Boussinesq approximation we derive a closed set of governing equations describing the dynamics of the suspensions. The linear stability of basic flow is analyzed. In addition, the transient processes of the thermal buoyancy convection of a fluid with solid inclusions is determined numerically.
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