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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 3, Pages 385–396
DOI: https://doi.org/10.17516/1997-1397-2022-15-3-385-396
(Mi jsfu1006)
 

Perturbation approach for a flow over a trapezoidal obstacle

May Manal Bounif, Abdelkader Gasmi

Laboratory of Pure and Applied Mathematics, Faculty of Mathematics and Informatics, University of Msila, Msila, Algeria
References:
Abstract: In this paper, we tackle the two-dimensional and irrotational flow of inviscid and incompressible fluid over a trapezoidal obstacle. The free surface of the flow which is governed by the Bernoulli condition is determined as a part of solution of the problem. This condition renders difficult an analytical solution of the problem. Hence, our work's objective is utilize the Hilbert transformation and the perturbation technique to provide an approximate solution to this problem for large Weber numbers and various configurations of the obstacle. The obtained results demonstrate that the used method is easily applicable, and provides approximate solutions to these kinds of problems.
Keywords: free surface flow, surface tension, incompressible flow, Hilbert method, perturbation technique.
Received: 04.10.2021
Received in revised form: 10.11.2021
Accepted: 04.02.2022
Document Type: Article
UDC: 532
Language: English
Citation: May Manal Bounif, Abdelkader Gasmi, “Perturbation approach for a flow over a trapezoidal obstacle”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 385–396
Citation in format AMSBIB
\Bibitem{BouGas22}
\by May~Manal~Bounif, Abdelkader~Gasmi
\paper Perturbation approach for a flow over a trapezoidal obstacle
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 3
\pages 385--396
\mathnet{http://mi.mathnet.ru/jsfu1006}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-3-385-396}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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