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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu1006 https://www.mathnet.ru/eng/jsfu/v15/i3/p385
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Abstract page: | 89 | Full-text PDF : | 36 | References: | 31 |
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