HEAT AND MASS-TRANSFER IN DISPERSE MEDIA .2. CONSTITUTIVE-EQUATIONS

The problem of expressing all the quantities, which are involved in the averaged field equations governing heat and mass transport in a disperse medium, in terms of the unknown variables of these equations and of physical parameters is investigated. Its constructive solution is obtained by means of formulating an accessory problem determining perturbations induced by a single particle in the mean temperature and concentration fields of an admixture. This is done on the basis of essentially the same reasoning as that applied when deriving the averaged equations themselves. By way of example, solutions of the latter problem under steady transfer conditions are considered thus permitting the effective thermal conductivity and the admixture diffusivity to be calculated as functions of physical parameters.