New classes of exact solutions to nonlinear sets of equations in the theory of filtration and convective mass transfer
Date
2007
Authors
Vyazmina, E.
Bedrikovetski, P.
Polyanin, A.
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Journal article
Citation
Theoretical Foundations of Chemical Engineering, 2007; 41(5):556-564
Statement of Responsibility
E. A. Vyazmina, P. G. Bedrikovetskii and A. D. Polyanin
Conference Name
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.
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The definitive version can be found at www.springerlink.com
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© Pleiades Publishing, Ltd., 2007.