Abstract
The problem of solid dissolution in films of non-Newtonian pseudoplastic liquids falling over flat, cylindrical, spherical and conical surfaces is studied theoretically. The resulting Sturm-Liouville problem is solved by series expansion on a digital computer. Numerical results for the eigenvalues, eigenfunctions, expansion coefficients and average expansion coefficients are reported for power-law liquids. Semi-quantitative considerations are presented for considering the influence of fluid-stretching in the case of viscoelastic liquids.