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Application of the method of lines to the analysis of single fluid-solid reactions in porous solids

✍ Scribed by H.Y. Sohn; S.H. Johnson; A.C. Hindmarsh

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
664 KB
Volume
40
Category
Article
ISSN
0009-2509

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✦ Synopsis

A mathematical model for the isothermal reaction between a fluid and a porous solid, in pelletgrain form, is studied. First, an analytical derivation of the time for total conversion is presented. Then the differential equations, given as a coupled pair of time-dependent and time-independent equations, arealtered to a fully time-dependent form, without loss of accuracy, but with much greater amenability to an efficient numerical solution method. The solution is by the method of lines, whereby finite difference discretixation in the spatial variable yields a stiff system of ordinary differential equations (ODEa), and the ODE initial value problem is solved with a modem general-purpose ODE solver. A further alteration to the equations overcomes the dithculty caused by the discontinuous ODFs for the solid variable. Results are given for two grain geometries and for a wide range of reaction moduli.

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