Modified MWR approach: application to agglomerative precipitation

Abstract

A modified method of weighted residuals approach is presented that combines expansions based on limiting forms of the true solution to solve the population balance equation accurately for continuous agglomerative precipitation. A modified moment method is used that employs fractional moments and is stable for the infinite domain problem. Solutions are obtained for various values of the agglomeration parameter, and the results are fitted to Pade approximations providing simple relationships that can be used for data fitting, thus obviating further need to solve the population balance equation with a constant aggregation kernel. This method is applied to experimental data on the precipitation of nickel ammonium sulfate and calcium carbonate to yield kinetic parameters.