caa a22 4500 445850043 CHVBK 20180317145410.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1134/S0040579511020047 doi (NATIONALLICENCE)springer-10.1134/S0040579511020047 Structure of an exact solution to a nonlinear diffusion equation [Elektronische Daten] [Yu. Babenko, E. Ivanov] Two problems are considered that describe the processes of impregnation and extraction in a semi-infinite porous solid in the case where a diffusion coefficient linearly depends on concentration. Using these problems as an example, it is shown that the method of fractional differentiation makes it possible to establish the structure of an exact solution for a diffusion flux on the domain boundary without predetermining a concentration field. Information obtained in this case is more detailed than that in the use of the dimensional theory. Pleiades Publishing, Ltd., 2011 Babenko Yu Russian Scientific Center for Applied Chemistry, St. Petersburg, Russia aut Ivanov E. St. Petersburg State Chemical Pharmaceutical Academy, St. Petersburg, Russia aut Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/3(2011-06-01), 299-303 0040-5795 45:3<299 2011 45 11236 https://doi.org/10.1134/S0040579511020047 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0040579511020047 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Babenko Yu Russian Scientific Center for Applied Chemistry, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Ivanov E. St. Petersburg State Chemical Pharmaceutical Academy, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/3(2011-06-01), 299-303 0040-5795 45:3<299 2011 45 11236 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer