On the behavior of nonlinear hydrodynamic coefficients of a submerged cylinder beneath the water surface

Nguyen Van My, Le Anh Tien, Phan Hoang Nam, Nguyen Quoc Khanh, Chau Van Than, Phan Thanh Hoang
Author affiliations

Authors

  • Nguyen Van My The University of Danang - University of Science and Technology, Da Nang, Vietnam
  • Le Anh Tien The University of Danang - University of Science and Technology, Da Nang, Vietnam
  • Phan Hoang Nam The University of Danang - University of Science and Technology, Da Nang, Vietnam https://orcid.org/0000-0002-8108-5522
  • Nguyen Quoc Khanh The University of Danang - University of Science and Technology, Da Nang, Vietnam https://orcid.org/0000-0003-2959-081X
  • Chau Van Than The University of Danang - University of Science and Technology, Da Nang, Vietnam
  • Phan Thanh Hoang School of Mechanical Engineering, Pusan National University, Busan 46241, Republic of Korea https://orcid.org/0000-0002-5724-3690

DOI:

https://doi.org/10.15625/0866-7136/16613

Keywords:

submerged cylinder, free surface flow, two-phase mixture model, nonlinear hydrodynamic coefficient, VOF method

Abstract

This study aims at numerically exploring the behavior of flow fields and nonlinear hydrodynamic coefficients of a horizontal cylinder beneath the free surface flow considering the effects of nonlinear surface waves and various cylinder shapes. The computational model is based on two-dimensional incompressible Navier-Stokes solvers along with the treatment of the free surface flow using the volume of fluid method. The effect of the turbulent flow is also considered by using the shear stress transport turbulence model. The simulation result of a benchmark case study of the submerged cylinder is first validated with available experiment data, where a mesh convergence analysis is also performed. Afterward, the flow fields and hydrodynamic force coefficients around the cylinder surface are analyzed, and the influences of various cylinder shapes and Reynolds numbers on the hydrodynamic coefficients are investigated. A state diagram representing the hydrodynamic behavior including stable and unstable stages is finally proposed; this is an important criterion for the practice design of submerged civil structures under the free surface flow.

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References

J. R. Morison, J. W. Johnson, and S. A. Schaaf. The force exerted by surface waves on piles. Journal of Petroleum Technology, 2, (1950), pp. 149–154. DOI: https://doi.org/10.2118/950149-G

H. N. Phan and V. L. Le. Finite volume method for prediction of wave impact loadings on vertical breakwaters and seawalls. In the 2011 World Congress on Advances in Structural Engineering and Mechanics (ASEM11plus), (2011), pp. 4574–4587.

M. Koken and G. Constantinescu. An investigation of the dynamics of coherent structures in a turbulent channel flow with a vertical sidewall obstruction. Physics of Fluids, 21, (2009). DOI: https://doi.org/10.1063/1.3207859

G. Oliveto and W. H. Hager. Temporal evolution of clear-water pier and abutment scour. Journal of Hydraulic Engineering, 128, (2002), pp. 811–820. DOI: https://doi.org/10.1061/(ASCE)0733-9429(2002)128:9(811)

S. Malavasi and A. Guadagnini. Hydrodynamic loading on river bridges. Journal of Hydraulic Engineering, 129, (2003), pp. 854–861. DOI: https://doi.org/10.1061/(ASCE)0733-9429(2003)129:11(854)

K. Qu, W. Y. Sun, H. S. Tang, C. B. Jiang, B. Deng, and J. Chen. Numerical study on hydrodynamic load of real-world tsunami wave at highway bridge deck using a coupled modeling system. Ocean Engineering, 192, (2019). DOI: https://doi.org/10.1016/j.oceaneng.2019.106486

P. Oshkai and D. Rockwell. Free surface wave interaction with a horizontal cylinder. Journal of Fluids and Structures, 13, (1999), pp. 935–954. DOI: https://doi.org/10.1006/jfls.1999.0237

S. Malavasi and A. Guadagnini. Interactions between a rectangular cylinder and a free-surface flow. Journal of Fluids and Structures, 23, (2007), pp. 1137–1148. DOI: https://doi.org/10.1016/j.jfluidstructs.2007.04.002

J. Bai, N. Ma, and X. Gu. Study of interaction between wave-current and the horizontal cylinder located near the free surface. Applied Ocean Research, 67, (2017), pp. 44–58. DOI: https://doi.org/10.1016/j.apor.2017.06.004

C.-R. Chu, Y.-A. Lin, T.-R. Wu, and C.-Y. Wang. Hydrodynamic force of a circular cylinder close to the water surface. Computers & Fluids, 171, (2018), pp. 154–165. DOI: https://doi.org/10.1016/j.compfluid.2018.05.032

H. Ren, Y. Xu, M. Zhang, S. Deng, S. Li, S. Fu, and H. Sun. Hydrodynamic forces on a partially submerged cylinder at high Reynolds number in a steady flow. Applied Ocean Research, 88, (2019), pp. 160–169. DOI: https://doi.org/10.1016/j.apor.2019.04.025

P. Reichl, K. Hourigan, and M. C. Thompson. Flow past a cylinder close to a free surface. Journal of Fluid Mechanics, 533, (2005). DOI: https://doi.org/10.1017/S0022112005004209

C. Bozkaya and S. Kocabiyik. Free surface wave interaction with an oscillating cylinder. Applied Mathematics Letters, 27, (2014), pp. 79–84. DOI: https://doi.org/10.1016/j.aml.2013.07.009

S. Kara, T. Stoesser, T. W. Sturm, and S. Mulahasan. Flow dynamics through a submerged bridge opening with overtopping. Journal of Hydraulic Research, 53, (2014), pp. 186–195. DOI: https://doi.org/10.1080/00221686.2014.967821

I.-H. Liu, J. Riglin, W. C. Schleicher, and A. Oztekin. Flow past a plate in the vicinity of a free surface. Ocean Engineering, 111, (2016), pp. 323–334. DOI: https://doi.org/10.1016/j.oceaneng.2015.11.009

W. Zhong, L. Deng, and Z. Xiao. Flow past a rectangular cylinder close to a free surface. Ocean Engineering, 186, (2019). DOI: https://doi.org/10.1016/j.oceaneng.2019.106118

B. Attiya, M. Altimemy, J. Caspar, C. Daskiran, I.-H. Liu, and A. Oztekin. Large eddy simulations of multiphase flows past a finite plate near a free surface. Ocean Engineering, 188, (2019). DOI: https://doi.org/10.1016/j.oceaneng.2019.106342

T.-H. Phan, V.-T. Nguyen, and W.-G. Park. Numerical study on strong nonlinear interactions between spark-generated underwater explosion bubbles and a free surface. International Journal of Heat and Mass Transfer, 163, (2020). DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2020.120506

V.-T. Nguyen andW.-G. Park.A free surface flow solver for complex three-dimensional water impact problems based on the VOF method. International Journal for Numerical Methods in Fluids, 82, (2015), pp. 3–34. DOI: https://doi.org/10.1002/fld.4203

H. N. Phan and J. Lee. Computational model for hydrodynamic pressure on radial gates during earthquakes. Journal of the Computational Structural Engineering Institute of Korea, 32, (2019), pp. 323–331. DOI: https://doi.org/10.7734/COSEIK.2019.32.5.323

H.-N. Phan and J.-H. Lee. Flood Impact Pressure Analysis of Vertical Wall Structures using PLIC-VOF Method with Lagrangian Advection Algorithm. Journal of the Computational Structural Engineering Institute of Korea, 23, (6), (2010), pp. 675–682.

ANSYS Inc. ANSYS Fluent User’s Guide, 2019R1. (2019).

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Published

20-12-2021

How to Cite

[1]
N. V. My, L. A. Tien, P. H. Nam, N. Q. Khanh, C. V. Than and P. T. Hoang, On the behavior of nonlinear hydrodynamic coefficients of a submerged cylinder beneath the water surface, Vietnam J. Mech. 43 (2021) 371–387. DOI: https://doi.org/10.15625/0866-7136/16613.

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Research Article