Classical Physics

    

Analysis on Aerodynamic Characteristics of WIG : Proposal of New Green’s Function Considering Water Wave Generation Caused by Aerial Vortices

Authors: Tsutomu Hori, Manami Hori

In this paper, a Green’s function considering water wave generation caused by aerial vortices is proposed. The new function is derived in the form that the influence of pressure fluctuations on the water surface is reflected by using the Fourier transform method.

By performing an asymptotic analysis for the Green’s function, it is shown that the high-speed flow field due to an aerial vortex can be represented by placing a slightly weaker vortex at the mirror image position under the water surface. As a result, asymptotic wave profiles at the high speed swells up in the neighborhood of WIG.

Furthermore, the lift force and wave-making resistance acting on the WIG are analyzed based on the momentum theorem, and thereby smart calculation formulae are presented for the two forces. Based on the developed theory, specific numerical calculations of aerodynamic forces and water wave profiles are performed for NACA airfoils as an example of thick wings. Thereby a certain amount of knowledge was obtained about the water surface effects of WIG.

Comments: 30 Pages. 11 Figures, 108 Equations, 10 References. Published on the Bulletin of Nagasaki Institute of Applied Science in Japan, 2026 (January), Vol.65, No.2, pp.49~78, https://nias.repo.nii.ac.jp/records/2000124

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Submission history

[v1] 2025-09-11 20:12:01
[v2] 2026-04-15 20:17:49

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