Solution of diffusion–dispersion models using a computationally efficient technique of orthogonal collocation on finite elements with cubic Hermite as basis |
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| Affiliation: | 1. Department of Mathematics, SLIET, Longowal 148106, Punjab, India;2. School of Mathematical Sciences, University of KwaZulu-Natal, Durban 4000, South Africa;1. Systems and Control Engineering Department, Indian Institute of Technology Bombay, Mumbai 400076, India;2. Department of Chemical Engineering, Indian Institute of Technology Gandhinagar, Gujarat 382424, India;3. Department of Chemical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India;1. Department of Software Science, Tallinn University of Technology, Estonia;2. LS2N UMR CNRS 6004, 1, rue de la Noë, BP 92101, 44321 Nantes, France |
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| Abstract: | In this paper, linear and non linear diffusion–dispersion models involving fluid flow through porous cylindrical particles are solved using orthogonal collocation on finite elements with cubic Hermite as basis. The technique involves partitioning of axial domain into equal elements and then orthogonal collocation method with cubic Hermite as basis function is applied within each element. Exit concentration profiles are drawn for Peclet numbers ranging from 0 (perfect mixing) to ∞ (perfect displacement). Proposed technique is computationally efficient, stable and yields accurate solution, even for nonlinear stiff problem. Correlation with industrial parameters is also presented. |
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| Keywords: | Langmuir isotherm Axial dispersion model Diffusion Cubic Hermite basis Peclet number Exit solute concentration |
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