Parallel flows with Soret effect in tilted cylinders

Abstract

Henry & Roux have recently conducted extensive numerical studies on the interaction of Soret separation with convection in cylindrical geometry. Many of their solutions exhibit parallel flow away from endwalls. We show that their parallel flow results can be matched by closed-form solutions. We find that solutions are non-unique in some parameter regions. Disappearance of one branch of solutions correlates with a sudden transition of Henry & Roux's results from a separated to a well-mixed flow.