Three methods (Gauss-Legendre method, Stehfest method and Laplace transform method) are used to evaluate a solution of a coupled heat-fluid linear diffusion equation. Comparing with the results by Jaeger, the accuracy and efficiency of the Stehfest and Gauss-Legendre methods and the limitations of t
A note on multicomponent diffusion
β Scribed by Stephen A. Shain
- Publisher
- American Institute of Chemical Engineers
- Year
- 1961
- Tongue
- English
- Weight
- 355 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0001-1541
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β¦ Synopsis
Abstract
The problem of defining an average diffusion coefficient of a gas arises in the application of the film resistance model for mass transfer to systems involving multicomponent mixtures of simultaneously diffusing gases and in the application of mass, momentum, and heat transfer analogies in such systems. It is shown that, in some cases, integration of the diffusion equation with an average value of the diffusion coefficient will not be valid. An approximate solution of the diffusion equation is obtained with the concentration dependence of the diffusion coefficient taken into account. Some numerical examples are constructed for comparison of this method and several methods for defining an average diffusion coefficient with an exact solution of the StefanβMaxwell relations.
π SIMILAR VOLUMES
The solution of the linear system Ax = b by iterative methods requires a splitting of the coefficient matrix in the form A = M -N where M is usually chosen to be a diagonal or a triangular matrix. In this article we study relaxation methods induced by the Hermitian and skew-Hermitian splittings for