Heat transfer in a vibrating-rotating bed of dispersed material

Heat Transfer in Dispersions

“…Exhaustive surveys and examples of practical application of different versions of the phenomenological approach are contained in a number of monographs [4][5][6][7][8][9] and in a large number of journal articles. Lately these methods were further developed by Antonishin and his coworkers [10,11], who paid particular attention to different aspects of their application in describing heat transfer in granular beds of different types (quiescent, rotating, ordinary-and vibro-fluidized).…”

“…(I.5). Such a situation occurs, among others, at the initial stage of heating of a granular bed by a solid wall [10,11,19].…”

“…The question of identification of the specific rate h e of interphase heat transfer in Eqs. (I.1) of the two-temperature model, which was analyzed particularly thoroughly for granular systems by Antonishin with his coworkers [10,11], is even more complicated. Without going into details, we wish to point out that virtually all the suggestions on defining this quantity reduce to the expression h e = α e ρ 1 c 1 S (τ 1 − τ 0 ) , (I.6)…”