مطالعه عددی اثر شکل هندسی و ارتفاع سقوط پرتابه بر سرعت حرکت در آب به روش کوپل اویلری-لاگرانژی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه مهندسی عمران، دانشگاه آزاد اسلامی، واحد اصفهان (خوراسگان)

2 گروه مهندسی عمران، دانشگاه آزاد اسلامی، واحد زنجان

3 گروه مهندسی عمران، دانشگاه آزاد اسلامی، واحد بندر انزلی

چکیده

در این مقاله، با مدل­سازی عددی مسئله ورود به آب پرتابه­های سه بعدی با اشکال هندسی مختلف و ارتفاع سقوط و آرایش سوراخ­های متفاوت به روش کوپل اویلری-لاگرانژی، تاثیر پارامترهای مذکور بر سرعت حرکت پرتابه در عمق آب و زمان و عمق جدایش حباب با استفاده از نرم­افزار تجاری اجزای محدود آباکوس 6/14-2 مورد بررسی قرار گرفت. نتایج حل عددی از مقایسه و تطابق مناسب با نتایج تئوری و آزمایشگاهی موجود شامل مسیر حرکت یک پرتابه کروی در عمق آب، شکل حباب هوای تشکیل شده و زمان و عمق جدایش آن،       صحت­سنجی گردید که بیانگر دقت و کاربرد الگوریتم عددی مورد استفاده بود. نتایج نشان داد که عمق جدایش حباب متاثر از شکل هندسی پرتابه است و با افزایش ارتفاع سقوط آن از سطح آزاد آب، به­طور قابل ملاحظه­ای افزایش می­یابد. در حالی که، زمان جدایش حباب تابع ضعیفی از پارامترهای مذکور می­باشد. همچنین، نیروی پسا بر پرتابه­های با سطح تماس مسطح و تیزگونه، به ترتیب بیشترین و کمترین تاثیر را دارد. از این رو، پرتابه مکعبی که از بیشترین استهلاک سرعت در عمق آب برخوردار است، با سرعت m/s57/1 به بستر مدل برخورد نموده و جدایش حباب در عمق cm63 رخ می­دهد. در حالی که، پرتابه مخروطی با کمترین استهلاک سرعت در عمق آب، دارای سرعت برخورد m/s88/3 است و جدایش حباب در عمق cm98 اتفاق می­افتد.

کلیدواژه‌ها

عنوان مقاله [English]

Numerical Study of the Effect of Geometric Shape, Holes Distribution, and Drop Height of Projectile on Deepwater Velocity, Using Coupled Eulerian-Lagrangian Method

نویسندگان [English]

  • Mohammad hosein Taghizadeh Valdi 1
  • mohammadreza Atrechian 2
  • Ata Jafary Shalkoohy 3
  • Elham Chavoshi 1
1 Department of Civil Engineering, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran
2 Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran
3 Department of Civil Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
چکیده [English]

In this paper, water entry problem of three-dimensional projectiles with various geometrical shapes and different drop heights and holes distribution was numerically simulated by coupled Eulerian-Lagrangian (CEL) method and the effect of mentioned parameters on deepwater velocity and pinch-off time and depth was investigated by the commercial software Abaqus 6.14-2. The numerical results were verified by comparison and proper adaptation with available theoretical and experimental results, such as the movement trajectory of a spherical projectile in water depth, shape of formed air cavity, and pinch-off time and depth, which revealed the accuracy and capability of the numerical algorithm used. The results revealed that pinch-off depth is influenced by projectile geometrical shapes and significantly increases along with increased drop height from free water surface, while the pinch-off time is a very weak function of mentioned parameters. Also, the drag force of water has the highest and lowest effect on flat and pointy-nose projectiles, respectively. Hence, the cubical projectile with the highest velocity depreciation impact on the model bed with a velocity of 1.57m/sec and pinch-off depth occurs at a depth of 63cm, while the conical projectile with the lowest velocity depreciation has an impact velocity of 3.88m/sec and pinch-off depth occurs at a depth of 98cm.

کلیدواژه‌ها [English]

  • Water Entry
  • Geometric Shape
  • Holes Distribution
  • Drop Height
  • Coupled Eulerian–Lagrangian Method

مراجع

  1. Von Karman, T. “The Impact of Seaplane Floats During Landing”, National Advisory Committee for Aeronautics, NACA TN 321, USA, 1929.
  2. Watanabe, S. “Resistance of Impact on Water Surface, Part I-Cone”, Inst. Phys. Chem. Res., Tokyo 12, pp. 251-267, 1930.
  3. Watanabe, S. “Resistance of Impact on Water Surface, Part II-Cone”, Inst. Phys. Chem. Res., Tokyo Vol. 14, pp. 153-168, 1930.
  4. Szebehely, V.G. “Hydrodynamic Impact”, J. Appl. Mech., Vol. 12, pp. 297-300, 1959.
  5. Miloh, T. “On the Initial Stage Slamming of a Rigid Sphere in a Vertical Water Entry”, J. Appl. Ocean Res., Vol. 8, pp. 13-43, 1991.
  6. Miloh, T. “On the Oblique Water Entry Problem of a Rigid Sphere”, J. Eng. Math., Vol. 25, pp. 77-92, 1991.
  7. Howison, S.D., Ockendon, J.R., and Wilson, S.K. “Incompressible Water-Entry Problems at Small Deadrise Angles”, J. Fluid Mech., Vol. 222, pp. 215-230, 1991.
  8. New, A.P., Lee, T.S., and Low, H.T. “Impact Loading and Water Entrance Characteristics of Prismatic Bodies”; Proc. third Int. Conf. Offshore and Polar Engineering, National University of Singapore, Singapore, 1993.
  9. Anghileri, M. and Spizzica, A. “Experimental Validation of Finite Element Models for Water Impacts”; The Second Int. Crash Users’ Seminar, Cranfield, England, 1995.
  10. Engle, A. and Lewis, R. “A Comparison of Hydrodynamic Impacts Prediction Methods with Two-dimensional Drop Test Data”, J. Mar. Struct., Vol. 16, pp. 175-182, 2003.
  11. Wagner, H. “Phenomena Associated with Impacts and Sliding on Liquid Surfaces”, J. Appl. Math. Mech., Vol. 12, pp. 193-215, 1932.
  12. Chaung, S. “Slamming of Rigid Wedge Shaped Bodies with Various Deadrise Angles”, PNpress. 1966.
  13. Park, M., Jung, Y., and Park, W. “Numerical Study of the Impact Force and Ricochet Behaviour of High Speed Water Entry Bodies”, Comput. Fluids J., Vol. 51, pp. 932-939, 2003.
  14. Battistin, D. and Iafrati, A. “Hydrodynamic Loads During Water Entry of Two-dimensional and Axisymmetric Bodies”, J. Fluids. Struct., Vol. 17, pp. 643-664, 2003.
  15. Korobkin, A. and Ohkusu, M. “Impact of Two Circular Plates One of which is Floating on a Thin Layer of Liquid”, J. Eng. Math., Vol. 50, pp. 343-358, 2004.
  16. Kleefsman, K.M.T., Fekken, G., Veldmen, A.E.P., Lwanowski, B., and Buchner, B. “A Volume-of-Fluid Based Simulation Method for Wave Impact Problems”, J. Comput. Phys., Vol. 206, pp. 363-393, 2005.
  17. Kim, Y.W., Kim, Y., Liu, Y.M., and Yue, D. “On the Water-Entry Impact Problem of Asymmetric Bodies”; Proc. Ninth Int. Conf. Numerical Ship Hydrodynamics, USA, Michigan, University of Michigan, 2007.
  18. Yang, Q. and Qiu, W. “Numerical Solution of 2D Slamming Problem with a CIP Method”; Int. Conf. Violent Flows, Research Institute for Applied Mechanics, Kyushu University, Japan, 2007.
  19. Fairlie-Clarke, A.C. and Tveitnes, T. “Momentum and Gravity Effects During the Constant Velocity Water Entry of Wedge-Shaped Sections”, J. Ocean Eng., Vol. 35, pp. 706-716, 2007.
  20. Aristoff, J.M., Truscott, T.T., Techet, A.H., and Bush, J.W.M. “The Water Entry of Decelerating Spheres”, Phys. Fluids. J., Vol. 22, pp. 1-8, 2010.
  21. Yang, Q. and Qiu, W. “Numerical Simulation of Water Impact for 2D and 3D Bodies”, J. Ocean Eng., Vol. 43, pp. 82-89, 2012.
  22. Wu, G. “Numerical Simulation for Water Entry of a Wedge at Varying Speed by a High Order Boundary Element Method”, J. Mar. Sci. Appl., Vol. 11, pp. 143-149, 2012.
  23. Mansoorzadeh, Sh., Pishevar, A.R., and Javanmard, E. "Numerical Investigation of Dynamic Stability of an AUV", J. Fluid Mech. Aerodyn., Vol. 2, No. 1, pp. 69-81, 2013 (In Persian).
  24. Ahmadzadeh, M., Saranjam, B., Hoseini Fard, A., and Binesh, A.R. “Numerical Simulation of Sphere Water Entry Problem Using Eulerian–Lagrangian Method”, J. Appl. Math. Model., Vol. 38, pp. 1673-1684, 2014.
  25. Erfanian, M.R. and Moghiman, M. “Numerical and Experimental Investigation of a Projectile Water Entry Problem and Study of Velocity Effect on Time and Depth of Pinch-Off”, J. Modarres Mech. Eng., Vol. 15, pp. 53-60, 2015.
  26. Nguyen, V.T., Vu, D.T., Park, W.G., and Jung, C. M. “Navier-Stokes Solver for Water Entry Bodies with Moving Chimera Grid Method in 6DOF Motions”, Comput. Fluids, Vol. 140, pp. 19-38, 2016.
  27. Mirzaei, M., Eghtesad, M., and Alishahi, M.M. “Planing Force Identification in High-Speed Underwater Vehicles”, J. Vibr. Contr., Vol. 22, pp. 4176-4191, 2016.
  28. Iranmanesh, A. and Passandideh-Fard, M. “A Three-dimensional Numerical Approach on Water Entry of a Horizontal Circular Cylinder Using the Volume of Fluid Technique”, J. Ocean Eng., Vol. 130, pp. 557–566, 2017.
  29. Nair, P. and Tomar, G. “A Study of Energy Transfer During Water Entry of Solids Using
  30. Incompressible SPH Simulations”, J. Indian Acad. Sci., Vol. 42, No. 4, pp. 517–531, 2017.
  31. Abaqus 6.11 Documentation, Vol II, Eulerian Analysis. 2011.
  32. Belden, J., Hurd, R.C., Jandron, M.A., Bower, A.F., and Truscott T.T. “Elastic Spheres Can Walk on Water”, Nat. Commun. 7, 10551, 2016.
  33. Erfanian, M.R., Anbarsooz, M., Rahimi, N., Zare, M., and Moghiman M. “Numerical and Experimental Investigation of a Three dimensional Spherical-Nose Projectile Water Entry Problem”, J. Ocean Eng., Vol. 104, pp. 397-404, 2015.
  34. Forouzani, H., Saranjam, B., Kamali, R., and Abdollahi-far, A. “Elasto-Plastic Time Dependent Impact Analysis of High Speed Projectile on Water Surface”, J. Solid. Fluid Mech., Vol. 3, pp. 281-298, 2016.
  35. Lee M., Longoria R.G., and Wilson D.E. “Cavity Dynamics in High-Speed Water Entry” J. Phys. Fluids, Vol. 9, pp. 541-550, 1997.

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سابقه مقاله

  • تاریخ دریافت: 08 بهمن 1396
  • تاریخ پذیرش: 28 مهر 1397
  • تاریخ انتشار: 01 تیر 1398

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