A theoretical treatment of heat or mass transfer in particulate systems is made with emphasis on the effect of particle size and residence time distribution functions on average and total transfer rates. Two differential equations (one for each phase) for mass or heat transfer are solved simultaneously by using an integral operator whose kernel takes into account the variations in particle size and residence time. Solutions are presented for total interfacial transfer rates in the cases of mass transfer with a simultaneous first or zero order chemical reaction and heat transfer with a linear source. An attempt has been made to predict the transfer efficiency in continuous flow dispersed systems. The possibility of obtaining transfer reversal in dispersed systems is illustrated numerically.
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