CALCULATION OF EFFECTIVENESS FACTORS IN SPHERICAL SHELLS.

This paper demonstrates a technique for rapid and efficient calculation of the rate of mass transfer with chemical or biochemical reaction in porous spherical shells. The technique is based on a coordinate transformation and generation of appropriate trial functions for the use of orthogonal collocation in the new coordinate system. An example is presented that indicates the accuracy of the method. One application of the method has been to model a fluidized-bed biological reactor.