X x = Martinelli momentum transfer parameter [ ( d P / = mole fraction solute in liquid, dimensionless = mole fraction solute in gas, dimensionless d2) L / ( d p / d ) G] l ' ' , dimensionless y y* = composition of vapor in equilibrium with annular liquid; defined by Equation ( 6 ) , dimensionless p p Subscripts u = annular liquid film e = entrained liquid G = gas phase L = liquid phase LITERATURE CITED = fluid viscosity, lb. mass/(ft.) (hr.) = fluid density, lb. mass/cu.ft.

A theoretical study has been mode of longitudinal dispersion mechanisms during steady flow of o fluid through unconsolidated spherical beads. The mathematical model utilizes a step function input of thermal energy and presents the solution for the transient behavior of the system. The longitudinal dispersion of the step input is considered the result of eddy mixing of the fluid, molecular conduction within the fluid, and a finite time log for heat transfer to occur between fluid and particle. The latter mechanism is characterized by both a fluid film resistance and on intraparticle resistance. The exact solution, involving on infinite integral,