обратная задача нестационарного течения несжимаемой жидкости в трубе с проницаемой стенкой
| Τίτλος: | обратная задача нестационарного течения несжимаемой жидкости в трубе с проницаемой стенкой |
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| Συγγραφείς: | Gamzaev, Kh.M. |
| Στοιχεία εκδότη: | Федеральное государственное бюджетное образовательное учреждение высшего профессионального образования «Южно-Уральский государственный университет (национальный исследовательский университет)», 2020. |
| Έτος έκδοσης: | 2020 |
| Θεματικοί όροι: | труба с проницаемой стенкой, нестационарное течение жидкости, УДК 519.6, коэффициентная обратная задача, coefficient of permeability of the pipe wall, pipe with permeable wall, разностная задача, coefficient inverse problem, unsteady fluid flow, УДК 532.546, difference problem, коэффициент проницаемости стенки трубы |
| Περιγραφή: | The process of unsteady flow of viscous incompressible fluid in a pipe with a permeable wall described by a nonlinear system of partial differential equations in the velocity–pressure variables is considered. This system of equations is reduced to a single nonlinear equation of parabolic type with respect to velocity. Within the framework of the obtained model, the inverse problem is posed to determine the permeability coefficient of the pipe wall, which depends only on the time variable. In this case, an additional condition relative to the fluid pressure is set at the outlet of the pipe. A difference analogue of the coefficient inverse problem is built using finite-difference approximations. For the solution of the received difference problem, the special representation is offered allowing to split problems into two mutually independent linear difference problems of the second order on each discrete value of a time variable. As a result, an explicit formula is obtained to determine the approximate value of the wall permeability coefficient for each discrete value of the time variable. On the basis of the proposed computational algorithm, numerical experiments were carried out for model problems. |
| Τύπος εγγράφου: | Other literature type Article |
| Περιγραφή αρχείου: | application/pdf |
| DOI: | 10.14529/mmph200103 |
| Σύνδεσμος πρόσβασης: | https://vestnik.susu.ru/mmph/article/download/9415/7535 https://vestnik.susu.ru/mmph/article/view/9415 https://cyberleninka.ru/article/n/obratnaya-zadacha-nestatsionarnogo-techeniya-neszhimaemoy-zhidkosti-v-trube-s-pronitsaemoy-stenkoy http://dspace.susu.ru/xmlui/handle/0001.74/44379 |
| Αριθμός Καταχώρησης: | edsair.dedup.wf.002..92ba3cc8d14b220a9e49d76acfbea743 |
| Βάση Δεδομένων: | OpenAIRE |
| DOI: | 10.14529/mmph200103 |
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