Research Papers: Flows in Complex Systems

Numerical Analysis of the Pressure Peak Position Shift With Deadrise Angle in Two-Dimensional Wedge Water Entry

[+] Author and Article Information
Xu Zhang

School of Aeronautic Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: zhangxu397@126.com

Peiqing Liu

School of Aeronautic Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: lpq@buaa.edu.cn

Qiulin Qu

School of Aeronautic Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: qql@buaa.edu.cn

Yunke Zhao

School of Aeronautic Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: zhao.yunke@163.com

Tianxiang Hu

School of Aeronautic Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: tianxiang.hu@buaa.edu.cn

Ramesh K. Agarwal

School of Engineering & Applied Science,
Washington University in St. Louis,
St. Louis, MO 63130
e-mail: rka@wustl.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 18, 2017; final manuscript received April 17, 2018; published online May 18, 2018. Assoc. Editor: Moran Wang.

J. Fluids Eng 140(11), 111101 (May 18, 2018) (10 pages) Paper No: FE-17-1593; doi: 10.1115/1.4040067 History: Received September 18, 2017; Revised April 17, 2018

This study deals with the pressure peak position shift with deadrise angle during the initial phase of a two-dimensional (2D) wedge water entry. The finite volume method with volume of fluid (VOF) and dynamic mesh technique is used to simulate the water entry process of the 2D wedges with the moderate deadrise angles within the range α = 20 deg–60 deg. The results show that with the increasing deadrise angle, the pressure peak position shifts from the spray root to the wedge apex. And, the critical deadrise angle of pressure peak position shift is identified in the range between 40.8 deg and 41 deg, which is more precise than previous studies. In the initial stage of water entry of a 2D wedge, the pressure on wedge side is determined by the dynamic pressure term and unsteady term simultaneously. For the spray root position, at small deadrise angles, the unsteady term is stronger than the dynamic pressure term; at large deadrise angles, the former is weaker than the later.

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Fig. 1

The deadrise angle along the axial direction of the fuselage of a seaplane before the step: (a) side view of the fuselage of a seaplane and (b) the deadrise angles along the axial direction

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Fig. 2

Schematic of wedge water entry

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Fig. 3

Sketch of the initial layout of the computational domain

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Fig. 4

Mesh layout around the wedge with deadrise angle of 30 deg: (a) the whole domain mesh (every 200th grid points are shown for clarity) and (b) zoomed-in mesh near the wedge (every tenth grid points are shown for clarity)

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Fig. 5

Locations of transducers

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Fig. 6

The comparison of the time histories of pressure coefficient for different meshes: (a) pressure transducer 1 and (b) pressure transducer 6

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Fig. 7

Time histories of displacement and speed of the wedge from experiment and simulation: (a) displacement and (b) speed

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Fig. 8

Time histories of pressure at transducers in the order from 1 to 12 from experiment and simulation

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Fig. 9

Pressure coefficient distribution along the wedge side at different times

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Fig. 10

Pressure distributions on wedge side during the initial phase from the present simulation and Zhao and Faltinsen's results [16]: (a) α = 20 deg, (b) α = 40 deg, and (c) α = 60 deg

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Fig. 11

Pressure coefficient contour and streamlines for the constant speed cases: (a) α = 20 deg, (b) α = 25 deg, (c) α = 30 deg, (d) α = 35 deg, (e) α = 40 deg, (f) α = 45 deg, (g) α = 50 deg, (h) α = 55 deg, and (i) α = 60 deg

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Fig. 12

Water particle dimensionless speed distribution along wedge side for the constant speed cases

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Fig. 13

Distributions of −V2,−∂Φ/∂t, and Cp along the wedge side: (a) dynamic pressure term, (b) unsteady term, and (c) pressure coefficient

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Fig. 14

Pressure coefficients at the wedge apex and the spray root with deadrise angle

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Fig. 15

Unsteady term −∂Φ/∂t with relative speed V

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Fig. 16

Pressure coefficient at wedge apex and spray root for the deadrise angle range from 40.7 deg to 41.0 deg




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