Second-order Wagner theory for two-dimensional water-entry problems at small deadrise angles

被引：52
作者：
Oliver, J. M. [1 ]
机构：
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
来源：
JOURNAL OF FLUID MECHANICS | 2007年 / 572卷 / 59-85期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1017/S002211200600276X
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The theory of Wagner from 1932 for the normal symmetric impact of a two-dimensional body of small deadrise angle on a half-space of ideal and incompressible liquid is extended to derive the second-order corrections for the locations of the higher-pressure jet-root regions and for the upward force on the impactor using a systematic matched-asymptotic analysis. The second-order predictions for the upward force on an entering wedge and parabola are compared with numerical and experimental data, respectively, and it is concluded that a significant improvement in the predictive capability of Wagner's theory is afforded by proceeding to second order.
引用
收藏
页码：59 / 85
页数：27
相关论文
共 33 条
  • [1] CAMPBELL IMC, 1980, 440 WOLF U MAR TECHN
  • [2] Cointe R., 1989, J OFFSHORE MECH ARCT, V111, P109
  • [3] COINTE R, 1987, ASME, V109, P237
  • [4] ON SOME PROBLEMS OF SIMILARITY FLOW OF FLUID WITH A FREE SURFACE
    DOBROVOLSKAYA, ZN
    [J]. JOURNAL OF FLUID MECHANICS, 1969, 36 : 805 - +
  • [5] Faltinsen O. M., 1993, Sea loads on ships and offshore structures
  • [6] Faltinsen OM, 2002, J SHIP RES, V46, P39
  • [7] FONTAINE E, 1998, 19980020557 NASA
  • [8] On the entry of a wedge into water: The thin wedge and an all-purpose boundary-layer equation
    Fraenkel, LE
    Keady, G
    [J]. JOURNAL OF ENGINEERING MATHEMATICS, 2004, 48 (3-4) : 219 - 252
  • [9] Some results for the entry of a blunt wedge into water
    Fraenkel, LE
    McLeod, JB
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 355 (1724): : 523 - 535
  • [10] Gakhov F.D., 1966, Boundary Value Problems
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