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Exact Solution for Deep Bed Filtration with Finite Blocking Timeстатья Исследовательская статья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 19 декабря 2020 г.
- Авторы: Nazaikinskii V.E., Bedrikovetsky P.G., Kuzmina L.I., Osipov Yu V.
- Журнал: SIAM Journal on Applied Mathematics
- Том: 80
- Номер: 5
- Год издания: 2020
- Издательство: Society for Industrial and Applied Mathematics
- Местоположение издательства: United States
- Первая страница: 2120
- Последняя страница: 2143
- DOI: 10.1137/19m1309195
- Аннотация: An initial-boundary value problem for a quasilinear system describing deep bed filtra-tion of a monodisperse suspension in a medium with pores of various sizes is investigated analytically.The filtration function is assumed to have power-law type while tending to zero with the power indexlower than one. We found that this assumption has two consequences: (i) the blocking time is finite,and (ii) the characteristics issuing from the points where the retained particle concentration reachesits maximum are not uniquely determined. The exact solution is constructed by a modfied methodof characteristics, which removes the ambiguity by using an additional blocking line equation derivedfrom the original problem. The weak singularity of the solution on the blocking line is described. Asimple sucient coecient condition for the unique solvability of the problem is derived.
- Добавил в систему: Назайкинский Владимир Евгеньевич