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BEHAVIOUR OF FREE-SURFACE IN SINGLE-LAYER FLUID FLOW PROBLEM

Area/Stream: Physical Sciences,
Authors: Srikumar Panda
Keywords: Fluid flow; Linear theory; Mixed BVP; Froude number; Bottom profile
Book Name /series: Futuristic Trends in Physical Sciences, Volume 2, Book 14, Part 1, Chapter 1
Publication: IIP Proceedings

Year: 2022,
Month: November

Page No: 1-9,
ISSN/ISBN: 978-93-95632-68-3,
DOI/Link: https://www.rsquarel.org/assets/docupload/rsl20231D78E11B2E63AA6.pdf


Abstract:

The behaviour of the free-surface ina single-layer flow over an undulated bottom is analyzed. To formulate the problem, it is considered that the fluid is incompressible as well as inviscid. The physical problem is expressed as a mixed boundary value problem using linear theory. This governing boundary value problem is solved with the help of perturbation analysis and Fourier transformation. The free-surface profile is determined mathematically. Also, the use of Fourier transform technique is highlighted in a detailed manner. The behavioral changes of the free-surface are also studied. Finally, the effect of undulated bottom profile is explained.

Cite this: Srikumar Panda,"BEHAVIOUR OF FREE-SURFACE IN SINGLE-LAYER FLUID FLOW PROBLEM", Futuristic Trends in Physical Sciences, Volume 2, Book 14, Part 1, Chapter 1, November, 2022, 1-9, 978-93-95632-68-3, https://www.rsquarel.org/assets/docupload/rsl20231D78E11B2E63AA6.pdf
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