A numerical approach in applying panel method for the added mass of a group of sections in fluids

• Autorzy: Zhang D. , Li P. , Wang Q. , Yang Y.

Identyfikatory

DOI

10.24423/aom.4064

• Języki publikacji: EN

Abstrakty

EN

This paper firstly expands an efficient numerical methodology developed from the source panel method to the added mass calculation of long column systems in fluid. Structures submerged in fluid are considered as two-dimensional and are discretized into a number of source panels. The influence coefficient matrices and the potential function are then calculated and the fluid forces are calculated by the unsteady Bernoulli equation. Finally, we utilize this present method to calculate the mass coefficients of some typical problems, which effectively verifies its feasibility and accuracy. This method takes into account both applicability and computational efficiency. On the one hand, in contrast to the analytical method which is only applicable to specific cross-sections, this method is applicable to arbitrary boundaries with C⁰ continuity in mathematics. On the other hand, this method requires less mesh and computation than commercial software. This paper extends the application of the source panel method which is widely used in aerodynamics to provide a reference for added mass calculation problems in engineering.

Słowa kluczowe

EN

numerical method; panel method; fluid-structure interaction; confined fluid; fluid mass coefficients

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2023
• Tom: Vol. 75, nr 1-2
• Strony: 151--168
• Opis fizyczny: Bibliogr. 24 poz., rys., tab., wykr.

Twórcy

autor

Zhang D.

• School of Mechanics and Engineering, Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu, 610031, P.R. China

autor

Li P.

• School of Mechanics and Engineering, Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu, 610031, P.R. China

autor

Wang Q.

• School of Mechanics and Engineering, Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu, 610031, P.R. China

autor

Yang Y.

• School of Mechanics and Engineering, Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu, 610031, P.R. China

Bibliografia

• 1. M.P. Paidoussis, S. Suss, M. Pustejovsky, Free vibration of clusters of cylinders in liquid-filled channels, Journal of Sound and Vibration, 55, 3, 443–459, 1977, doi: 10.1016/S0022-460X(77)80025-4.
• 2. S. Yoshimura, K. Kobayashi, H. Akiba, Seismic response analysis of full-scale boiling water reactor using three-dimensional finite element method, Journal of Nuclear Science and Technology, 52, 4, 546–567, 2015, doi: 10.1080/00223131.2014.963000.
• 3. A. Wanninger, M. Seidl, R. Macian-Juan, Mechanical analysis of the bow deformation of a row of fuel assemblies in a PWR core, Nuclear Engineering and Technology, 50, 2, 297–305, 2018, doi: 10.1016/j.net.2017.12.009.
• 4. R.J. Fritz, The effect of liquids on the dynamic motions of immersed solids, Journal of Engineering for Industry, 94, 1, 167, 1972, doi: 10.1115/1.3428107.
• 5. H. Chung, S.S. Chan, Vibration of a group of circular cylinders in a confined fluid, Journal of Applied Mechanics, 99, 2, 455–455, 1977, doi: 10.1115/1.3424026.
• 6. R.G. Dong, Effective Mass and Damping of Submerged Structures, (No. UCRL-52342) California University, Livermore, USA, Lawrence Livermore Laboratory, 1978, doi: 10.2172/7038325.
• 7. K.H. Jeong, M.J. Jhung, Added mass estimation of square sections coupled with a liquid using finite element method, Nuclear Engineering and Technology, 49, 1, 234–244, 2017, doi: 10.1016/j.net.2016.07.010.
• 8. W. Li, D. Lu, Y. Liu, Numerical investigation on the fluid added mass of spent fuel storage rack, Nuclear Engineering and Design, 339, 83–91, 2018, doi: 10.1016/j.nucengdes. 2018.08.025.
• 9. Jr. J.D. Anderson, Fundamentals of Aerodynamics, McGraw-Hill Education, New York, 2010.
• 10. H.N.V. Dutt, S.R. Rajeswari, Wing-body interference using a hybrid panel method, Acta Mechanica, 106, 3-4, 111–126, 1994, doi: 10.1007/BF01213557.
• 11. M.S. Tarafder, K. Suzuki, Numerical calculation of free-surface potential flow around a ship using the modified Rankine source panel method, Ocean Engineering, 35, 5-6, 536–544, 2008, doi: 10.1016/j.oceaneng.2007.11.004.
• 12. E. Yari, H. Ghassemi, Boundary element method applied to added mass coefficient calculation of the skewed marine propellers, Polish Maritime Research, 2, 90, 25–31, 2016, doi: 10.1515/pomr-2016-0017.
• 13. J. Katz, Aerodynamics of race cars, Annual Review of Fluid Mechanics, 38, 27–63, 2006, doi: 10.1146/annurev.fluid.38.050304.092016.
• 14. A.D. Lucey, P.W. Carpenter, A numerical simulation of the interaction of a compliant wall and inviscid flow, Journal of Fluid Mechanics, 234, 121–146, 1992, doi: 10.1017/S0022112092000727.
• 15. D.L. Ashby, Development and validation of an advanced low-order panel method, NASA TM-101024, 1988.
• 16. I.S. Sahin, J.A. Crane, K.E. Watson, Added mass coefficients for submerged bodies by a low-order panel method, Transaction of the ASME, 115, 234, 452–456, 1993, doi: 10.1115/1.2910159.
• 17. J. Katz, A. Plotkin, Low-speed Aerodynamics, Cambridge University Press, Cambridge, 2001.
• 18. K.H. Jeong, M.J. Jhung, Added mass estimation of square sections coupled with a liquid using finite element method, Nuclear Engineering and Technology, 49, 1, 234–244, 2017, doi: 10.1016/j.net.2016.07.010.
• 19. J. Stabel, M. Ren, Fluid-structure-interaction for the analysis of the dynamics of fuel storage racks in the case of seismic loads, Nuclear Engineering and Design, 206, 2-3, 167–176, 2001, doi: 10.1016/S0029-5493(00)00431-3.
• 20. V.Y. Mazur, Motion of two circular cylinders in an ideal fluid, Fluid Dynamics, 5, 6, 969–972, 1970, doi: 10.1007/BF01015098.
• 21. Y. Liu, D. Lu, Y. Wang, H. Liu, The sliding and overturning analysis of spent fuel storage rack based on dynamic analysis model, Science and Technology of Nuclear Installations, 2016, doi: 10.1155/2016/8368504.
• 22. R. Gajapathy, K. Velusamy, P. Selvaraj, P. Chellapandis, CFD investigation of helical wire-wrapped 7-pin fuel bundle and the challenges in modeling full scale 217 pin bundle, Nuclear Engineering and Design, 237, 24, 2332–2342, 2007, doi: 10.1016/j.nucengdes.2007.05.003.
• 23. D. Zhang, P. Li, Q. Wang, Y. Yang, A note on added mass of a group of sections in confined fluid: a general conclusion, Archive of Applied Mechanics, 91, 11, 4433–4439, 2021, doi: 10.1007/s00419-021-02050-9.
• 24. J. Rigaudeau, D. Brochard, A. Benjedidia, Fluid structure interaction in the response of PWR fuel assemblies to horizontal seismic loads, Structural Mechanics in Reactor Technology, 12, 121–126, 1993.