Gas-particle Flows Over a Wavy Wall

Abstract

This paper describes a theoretical investigation into the perturbation problem of gas-particle two-phase flows over a wavy wall. It is assumed that the gas is inviscid except for its interaction with the particles, and no phase change takes place. The flow region is split into two sub-regions, an inner region near the wavy wall, where particle-free regions appear, and an outer region above the inner region. The inner and the outer expansions are matched with each other in some overlapping domain. The inner problem is solved numerically, and the outer problem is solved analytically. Main attention is paid to the flow structure near the wavy wall, and also the drag of the wavy wall.