Effects of gravity on interdendritic flow - An analytic approach

Abstract

The present investigation attempts to provide an aid to the understanding of the essence of the gravitational influence on interdendritic flow. An analytic solution of the equations governing interdendritic fluid flow is presented for a simple case, involving a semiinfinite mushy zone whose isotherms are flat, parallel, and inclined at an angle to the force of gravity. It is found that gravity in ingots with narrow mushy zones mainly produces interdendritic flow parallel to the liquidus confined to the vicinity of the liquidus. This flow can be large in comparison to the usual shrinkage-induced flows. Its existence is caused by the rapid increase of permeability with fraction liquid near the liquidus. For this reason, it cannot appear in numerical calculations which ignore the rapid variation of permeability.