A Numerical Method for Determining Two Sorbent Characteristics in Case of Decreasing Porosity
- 23 Downloads
For a mathematical model that incorporates internal-diffusion kinetics and sorbent swelling, we consider the inverse problem of determining the sorption isotherm and the porosity coefficient from two output dynamic curves. A gradient-type iterative method utilizing the conjugate problem technique is proposed and results of numerical experiments are reported. The results are used to investigate the features of the proposed method.
Keywordsinverse problems numerical methods mathematical models of sorption
Unable to display preview. Download preview PDF.
- 1.E. V. Venetsianov and R. N. Rubinshtein, The Dynamics of Sorption from Liquid Media [in Russia], Nauka, Moscow (1983).Google Scholar
- 2.V. I. Gorshkov, M. S. Safonov, and N. M. Voskresenskii, Ion Exchange in Counter-Current Columns [in Russian], Nauka, Moscow (1981).Google Scholar
- 3.P. P. Zolotarev, “Problems of sorption dynamics and chromatography in stationary layers,” ZhFKh, 59, No. 6, 1342–1351 (1985).Google Scholar
- 4.V. A. Ivanov, N. P. Nikolaev, and V. I. Gorshkov, “A method for the determination of dynamic parameters in counter-current ionexchange columns,” Teoret. Osnovy Khim. Tekhnol., 26, No. 1, 43–49 (1992).Google Scholar
- 5.S. R. Tuikina, “Solving some inverse problems of sorption dynamics by gradient methods,” Vestnik MGU. Ser. 15: Vychil. Matem. Kibern., No. 4, 33–39 (1990).Google Scholar
- 8.A. M. Denisov, “Unique solvability of some inverse problems for nonlinear sorption-dynamics models,” in: Conditionally Well-Posed Problems of Mathematical Physics and Analysis [in Russian], Nauka, Novosibirsk (1993), pp. 73–84.Google Scholar
- 9.A. M. Denisov, “Unique determination of the nonlinear coefficient in a system of partial differential equations in the small and in the large,” Dokl. RAN, 338, No. 4, 444–447 (1994).Google Scholar