A formalism for the solution of problems involving chemical reaction and concentration-dependent diffusion coefficients |
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| Authors: | Duong D Do and James E Bailey |
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| Institution: | (1) Dept. of Chemical Engineering, California Institute of Technology, 91125 Pasadena, CA, USA;(2) Present address: Department of Chemical Engineering, University of Queensland, St. Lucia, 4067 Brisbane, Queensland, Australia |
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| Abstract: | By using a previously proposed novel integral transform approach, approximate analytical solutions for a certain class of concentration-dependent diffusion and reaction problems can be obtained. Three example problems of increasing complexity are presented to demonstrate the versatility of this technique. Perturbation techniques are also employed to determine asymptotic behaviour of the solutions in the limit of large or small values of some parameters. |
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