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https://hdl.handle.net/2440/48954
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Type: | Journal article |
Title: | New classes of exact solutions to nonlinear sets of equations in the theory of filtration and convective mass transfer |
Author: | Vyazmina, E. Bedrikovetski, P. Polyanin, A. |
Citation: | Theoretical Foundations of Chemical Engineering, 2007; 41(5):556-564 |
Publisher: | Maik Nauka/interperiodica |
Issue Date: | 2007 |
ISSN: | 0040-5795 1608-3431 |
Statement of Responsibility: | E. A. Vyazmina, P. G. Bedrikovetskii and A. D. Polyanin |
Abstract: | New classes of exact solutions to nonlinear sets of equations encountered in the theory of filtration and convective mass transfer of reacting media are described. Focus is placed on general first-order sets in which the chemical reaction rates depend on arbitrary functions. General solutions to some first-order systems with power-law nonlinearities are found. A set of new exact solutions with a functional separation of variables involving arbitrary functions is constructed. The results obtained are used for solving the problems of the theory of filtration of one-component and multicomponent suspensions with an arbitrary kinetics of particle accumulation. |
Description: | The definitive version can be found at www.springerlink.com |
Rights: | © Pleiades Publishing, Ltd., 2007. |
DOI: | 10.1134/S0040579507050168 |
Published version: | http://dx.doi.org/10.1134/s0040579507050168 |
Appears in Collections: | Aurora harvest 6 Australian School of Petroleum publications |
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