Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect

Abdelkader Laiadi

doi:10.53508/ijiam.1035806

EN

Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect

Abstract

In this paper, we study the problem of two-dimensional free surface flows past an inclined plate of an infinite length. The Riabouchinsky model is considered. The fluid is assumed to be inviscid and incompressible and the flow to be steady and irrotational. For this study, the effects of gravity and surface tension are negligible. This problem is solved by using two methods. The first method allow us to compute analytical solution by employing Schwarz-Christoffel mapping. The other is numerically using the series truncation method. The obtained results showed a good agreement between the numerical solution and the exact solution.

Keywords

References

Alex Doak, J-M Vanden-Broeck, Nonlinear two-dimensional free surface solutions of flow exiting a pipe and impacting a wedge,J .Eng. Math (2021) 126:8,1-19.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Abdelkader Laiadi ^*
Algeria

Publication Date

June 28, 2022

Submission Date

December 12, 2021

Acceptance Date

January 24, 2022

Published in Issue

Year 2022 Volume: 5 Number: 1

DOI

https://doi.org/10.53508/ijiam.1035806

IZ

https://izlik.org/JA47BF88LF

Cite

RIS / Bibtex

APA

Laiadi, A. (2022). Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect. International Journal of Informatics and Applied Mathematics, 5(1), 52-61. https://doi.org/10.53508/ijiam.1035806

AMA

1.Laiadi A. Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect. IJIAM. 2022;5(1):52-61. doi:10.53508/ijiam.1035806

Chicago

Laiadi, Abdelkader. 2022. “Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect”. International Journal of Informatics and Applied Mathematics 5 (1): 52-61. https://doi.org/10.53508/ijiam.1035806.

EndNote

Laiadi A (June 1, 2022) Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect. International Journal of Informatics and Applied Mathematics 5 1 52–61.

IEEE

[1]A. Laiadi, “Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect”, IJIAM, vol. 5, no. 1, pp. 52–61, June 2022, doi: 10.53508/ijiam.1035806.

ISNAD

Laiadi, Abdelkader. “Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect”. International Journal of Informatics and Applied Mathematics 5/1 (June 1, 2022): 52-61. https://doi.org/10.53508/ijiam.1035806.

JAMA

1.Laiadi A. Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect. IJIAM. 2022;5:52–61.

MLA

Laiadi, Abdelkader. “Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect”. International Journal of Informatics and Applied Mathematics, vol. 5, no. 1, June 2022, pp. 52-61, doi:10.53508/ijiam.1035806.

Vancouver

1.Abdelkader Laiadi. Free Surface Flow Between Two Semi-Infinite Inclined Plate Without Gravity Effect. IJIAM. 2022 Jun. 1;5(1):52-61. doi:10.53508/ijiam.1035806