Collect. Czech. Chem. Commun. 1981, 46, 2967-2982

Natural convective diffusion to a sphere

Arnošt Kimla and Jiří Míčka

Department of Mathematics, Prague Institute of Chemical Technology, 166 28 Prague 6


The problem of natural convective diffusion to a sphere was solved both analytically for the asymptotic case Gr.Sc → ##h and numerically for values of the product Gr.Sc from about 1 000 to 20 000. Evaluation of numerical results gave basic characteristics of the velocity profile and the form of the diffusion layers. A formula for the total diffusion current to a sphere in the mentioned range of the product Gr.Sc was obtained by combining the analytical solution with the numerical results.