HEAT AND MASS-TRANSFER IN DISPERSE MEDIA .1. AVERAGED FIELD-EQUATIONS

Many important results concerning effective transport properties in a disperse system, including those secured under rather uncommon conditions, can be obtained with the help of the method of ensemble averaging combined with ideas of the self-consistent field theory. This justifies the undertaken careful consideration and partial revision of the basic ideas underlying both the method and the corresponding mathematical technique. An unequivocal set of conservation equations governing the transport of a scalar quantity in phases of the system on the average is also derived and formal representations for both the interphase exchange and the mean flux of the quantity in terms of integrals over the volume of some test particle are presented in the first part of the paper.