TRANSIENT DIFFUSIONAL INTERACTIONS BETWEEN SOLID BODIES AND ISOLATED FLUIDS

A generalized Sturm-Liouville approach is used to provide an efficient solution procedure for the problem of one-dimensional diffusion accompanied by an irreversible first-order reaction in a body suddenly immersed in an isolated volume of moderately stirred fluid. Specific results are presented for the slab, solid and hollow cylinders, and the sphere. The non-reactive, non-adiabatic calorimeter problem is solved by reduction to a closely related adiabatic problem with first-order heat generation in the body, the solution to which is contained in the earlier developments of the paper. © 1979.