Comparison of solution methods for a mathematical model of dilute solute mass transfer with chemical reaction on a nonuniform surface. (English) Zbl 0677.65109
Summary: Mathematical methods based on (i) the method of weighted residuals, (ii) an integral equation method and (iii) the finite element method are used to obtain approximate solutions to a mixed or discontinuous boundary- value problem that describes mass transfer and reaction of a dilute solute to a heterogeneous surface. The effect of various dimensionless model parameters on both the overall effectiveness factor and the solute concentration profiles is illustrated. Comparison among numerical values produced by all three methods is also given. It is shown that all three independent solution methods provide results which are in good agreement and have the correct physical behavior.
MSC:
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
| 35K57 | Reaction-diffusion equations |
| 80A30 | Chemical kinetics in thermodynamics and heat transfer |
Keywords:
chemical reaction; nonuniform surface; method of weighted residuals; integral equation method; finite element method; mass transfer; reaction of a dilute solute; ComparisonReferences:
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