New Aspects of Natural-Convection Heat Transfer: Preliminary Study of Effect of Frictional Heating

Abstract

An analysis of the natural-convection process shows that in many new practical cases, the compression work and frictional heating may affect this mode of heat transfer appreciably, depending on the magnitude of a new parameter $K¯=GrβfXlcp$ Study of a simplified problem, namely, the flow between two parallel infinite plates oriented parallel to the direction of the generating-body force shows, in particular, that the frictional heating appreciably alters the velocity and temperature distributions, and hence the heat transfer. Consideration of the frictional heating also leads to the predictions that two states of flow and heat transfer are to be expected for a given set of conditions and also that there exists a critical set of conditions which is analogous to that for thermal choking.