Transient Free Surface Flow Past a Two-dimensional Flat Stern

Ogilat, Osama; Stepanyants, Yury

doi:10.5890/dnc.2015.09.010

Cited by 1 publication

(3 citation statements)

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“…Unfortunately, the general form of the H 2 (k) expression is such that the application of the W-H technique used by [1,2,17] is not possible in this problem. Therefore, a particular case b  ¥ of an infinitely deep upper layer is considered.…”

Section: Application Of Ftmentioning

confidence: 99%

“…The results of this research can help in understanding the physics of the wave generation past obstacles and shed some light on solving an engineering problem of ship building of an optimal shape. As a mathematical foundation, the authors depend on earlier publications [1,2]. In the first publication, where the generation of surface gravity waves by a 2D semi-infinite curved plate is considered, the formation of waves is caused to the displacement of the free surface by a moving curved profile.…”

Section: Introductionmentioning

confidence: 99%

“…ρ 2 =0, i.e. the density ratio vanishes, then equation (34) reduces to the surface wave case studied by[1,2,17] …”

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confidence: 99%

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Generation of internal waves by flow past a flat plate in a two-layer fluid of finite depth

Ogilat¹,

Oqielat²

2019

Phys. Scr.

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This paper is concerned with an analytical study on the internal wave generated by a flat plate that is submerged and located at the interface of a two-layer fluid. The flow pattern can be constructed as it applies near the stern of a wide blunt ship or submarine. The Fourier transform and Wiener-Hopf techniques are applied to analytically solve the linearized problem for the Froude number F<1 and different values of density ratio ρ. The main objective of this research paper is to investigate the impact of the density ratio on the downstream waves, as well as to minimize or eliminate the waves past the stern completely. It is shown that for the flat plate the wave amplitude was not eliminated, but it decreased for a small Froude number F as the density ratio decreased.

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Section: Application Of Ftmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%