Abstract
From the Navier-Stokes equations, the integral expressions of the free-surface elevation and the velocity field in ship waves of a moving waterborne body are obtained. Next, Lighthill's two-stage scheme is employed to change the above-mentioned integral expressions to algebraic expressions. Compared with the results obtained when the seawater is idealized to an inviscid fluid, the signularities are dispelled or weakened, and the accuracy of the digit information of ship waves is improved.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Wehausen J V, Laitone E V. Surface waves [A]. In: S Flügge Ed.Encyclopedia of Physics[C]. New York: Springer-Verlag, 1960,311–778.
Chan A T, Chwang A T. Interaction of laminar far wake with a free surface[J].Phys Fluids, 1996,8(2),421–429.
Tao M D, Liu M J, Ren J C. A study of velocity field in ship waves[J].J Hydrodynamics, Ser B, 2001,13(4):42–47.
Liu A K, Peng Y, Chang S Y. Wavelet, analysis of satellite images for coastal watch[J].IEEE J Oceanic Engig, 1997,22(1):9–17.
Miao G P, Liu Y Z, Yang Q Z, et al. On the 3-D pulsating source of Michell type with forward speed[J].J Hydrodynamics, Ser B, 1995,7(2):84–95.
Author information
Authors and Affiliations
Additional information
Communicated by DAI Shi-qiang
Biography: LIU Min-jia (1973−)
Rights and permissions
About this article
Cite this article
Min-jia, L., Ming-de, T. Velocity field in ship waves on the viscous fluid. Appl Math Mech 23, 1221–1228 (2002). https://doi.org/10.1007/BF02437671
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02437671