A Three-Dimensional Potential-Based analysis for Partial cavitating Flow around Projectiles with Various Head Using BEM

Authors

1 Department of Mechanical Engineering, University of Larestan

2 Department of Mechanical Engineering, ّFerdowsi University of Mashhad

10.22044/jsfm.2024.13443.3771

Abstract

In this paper, three-dimensional code has been developed to simulate the partial cavitating flow around projectiles with various heads (blunt, hemispherical, and conical) using the BEM. For this purpose, after generating the geometry using quadrilateral elements with four control points, using the integral expression of Green's theory, source and dipole have been distributed on elements, and using an iterative algorithm, simulation is done and results are compared with the available experimental data and other numerical results. Despite the low computational cost of this method, the results have a high accuracy and convergence rate. One of the main contributions of this work is to present a correlation between the properties of cavity around projectiles with different heads (in the limit of 0.075≤σ≤0.5). Also, Analysis of the results shows that the method has a suitable ability to predict the properties of cavitation flow at non-zero angles of attack (up to 8° angle of attack) in the shortest time. Of course, by increasing the angle of attack and getting away from the potential assumption, the results are associated with some errors (15% in geometrical characteristics and 12% in aerodynamic coefficients). Due to high convergence rate and acceptable accuracy, this method can be used for initial design and optimization of subsurface projectiles with cavitation.

Keywords

Main Subjects

References

  • برازنده، ح.، جعفری گاوزن،(1398) ا.، بررسی تجربی پدیده کاویتاسیون حول جسم با دماغه مخروطی و پس جسم استوانه‌ای، مکانیک سازه­ها و شاره­ها، د. 9، ش. 2، ص. 249-259.
  • Kartikeya K.(2006) Cavitating flow over oscillating hydrofoils and hydrofoil-based ship stabilization system, Mumbai, p.15.
  • Euteneuer A. .(2003) Further studies into the dynamics of a supercavitating torpedo, Minnesota Uni., 1.
  • Franc J.P., Michel J.M. .(2005) Fundamentals of Cavitation, Kluwer academic publishers, eBook ISBN: 1-4020-2233-6, USA.
  • Wang G., Senocak I., Shyy W., Ikohagi T., Cao SH. .(2001) Dynamics of attached turbulent cavitating flows, Progress in Aerospace Sciences, Vol. 37, pp. 551–581.
  • De Lange D.F., De Bruin G.J. .(1998) Sheet Cavitation Cloud Cavitation and Re-entrant Jet and Three-Dimensionality, Netherlands, pp. 92-95.
  • نوروزی م.،(1395)تحلیل سه بعدی جریان همراه با کاویتاسیون حول پرتابه­ها در زوایای حمله مختلف با استفاده از روش المان مرزی بر پایه پتانسیل. پایان نامه دکتری، دانشگاه فردوسی مشهد.
  • Hess J.L., Smith A.M.O. .(1966) Calculation of potential flow about arbitrary three-dimensional bodies, Progress in Aeronautical Science, 8, pp. 1–138, Pergamon Press, New York.
  • Basu B.C., Hancock G.J. .(1978) The unsteady motion of a two-dimensional hydrofoil in incompressible inviscid flow, J. Fluid Mech., Vol. 87, Part 1, pp. 159-178.
  • Pellone E., Rowe A.(1981) Supercavitating hydrofoils in nonLinear theory, in Proceedings, Third International Conference on Numerical Ship Hydrodynamics.
  • Uhlman J.S.(1987) The surface singularity method applied to partially cavitating hydrofoils, J. Res., Vol. 31, No. 2, pp. 107-124.
  • Uhlman J.S. .(1989) The Surface singularity or boundary integral method applied to supercavitating hydrofoils, J. Sh. Res., Vol. 33, No. 1, pp. 16-20.
  • Kinnas S.A., Fine N.E. (1990) Non-linear analysis of the flow around partially or supercavitating hydrofoils by a potential based panel method, In Proceedings of the IABEM-90 Symposium of the International Association for Boundary Element Methods, Rome, Italy.
  • Fine N.E.(1992) Non-linear Analysis of Cavitating Propellers in Nonuniform Flow, PhD thesis, Massachusetts Institute of Technology - MIT.
  • Fine N.E.(1993) Kinnas S.A., A boundary element method for the analysis of the flow around 3-D cavitating hydrofoils, J. Sh. Res., Vol. 37, No. 1.
  • Georges L., Chahine T.H., Chao T.H. .(2001) Modeling 3D unsteady sheet cavities using a coupled UnRANS-BEM code, DYNAFLOW, INC., 7210 Pindell School Road.
  • Lee, H.S., Kinnas, S.A .(2002) Application of BEM in Unsteady Blade Sheet and Developed Tip Vortex Cavitation Prediction on Marine Propellers, IABEM 2002 Proceedings, Austin Texas, USA.
  • Lee H.S., Kinnas S.A. .(2005) A BEM for the modeling of unsteady propeller sheet cavitation inside of a cavitation tunnel, Comput. Mech., Vol. 37, pp. 41–51.
  • Young Y.L. .(2003) Fluid and Structural Modeling of Cavitating Propeller Flows, Cav2003 Proceedings, Japan.
  • Young Y.L., Shen Y.T.(2007) A Numerical Tool for the Design/Analysis of Dual-Cavitating Propellers, J. Fluids Eng., Vol. 129, pp. 720-730.
  • Bal S. .(2008) Prediction of wave pattern and wave resistance of surface piercing bodies by a boundary element method, Int. J. numer. Methods Fluids, Vol. 56, No. 3, pp. 305-329.
  • Young Y.L., Motley M.R., Yeung R.W.(2010) Three-Dimensional Numerical Modeling of the Transient Fluid-Structural Interaction Response of Tidal Turbines, J. Offshore Mech. Arct. Eng., Vol. 132.
  • Chang S.H., Kinnas S.A.(2012) Numerical Method for the Analysis of Cavitating Waterjet Propulsion Systems, Proceedings of the Eighth International Symposium on Cavitation (CAV 2012), pp. 649-655.
  • Rashidi I., Passandideh-Fard, Passandideh-Fard Ma.(2012) The Optimum Design of a Cavitator for High-Speed Axisymmetric Bodies in Partially Cavitating Flows, J. Fluids Eng., Vol. 135, No.1:011301.
  • Yari E., Ghassemi H. .(2013) Numerical analysis of sheet cavitation on marine propellers, considering the effect of cross flow, Int. J. Nav. Archit. Ocean Eng., Vol. 5, No. 4, pp. 546-558.
  • جعفری ج.، پسندیده­فرد م.، چنگیزیان م. (1395) مدل سازی کاویتاسیون گسترده بر روی بال با استفاده از مدل غیرخطی جزئی روش المان مرزی، نشریه فنی مهندسی مدرس، د. 16، ش. 7، ص 22-12.
  • Nouroozi M., Pasandidehfard M., Djavareshkian M. H. .(2016) Simulation of partial and supercavitating flows around axisymmetric and quasi-3D bodies by boundary element method using simple and reentrant jet models at the closure zone of cavity, Math. Probl. Eng., Volume 2016 | Article ID 1593849.
  • D. Anevlavi, Belibassakis.(2021) An Adjoint Optimization Prediction Method for Partially Cavitating Hydrofoils, J. Mar. Sci. Eng., Vol. 9, No. 9, 976 . 
  • ملتانی شاهرخت ع.، پسندیده فرد م.، مغربی م.ج.، (1400)بررسی مشخصات موج و مقاومت موجی یک جسم زیرسطحی به همراه سطح کنترل در نزدیکی سطح آزاد، نشریه علمی مکانیک سازه ها و شاره ها، د.12، ش. 2، ص 65-79.
  • Beer G., Smith I., Duenser C. .(2008) Boundary Element Method with Programming, USA, pp. 1-10.
  • Vaz N.V.B. .(2005) Modeling of Sheet Cavitation on Hydrofoils and Marine Propellers using Boundary Element Methods, Phd thesis, University of Technology, Lisbon, Portugal, pp. 10-20.
  • Labertaux K.R., Ceccio S.L.(2001) Partial cavity flows (Part 1), Cavities forming on models without span wise variation, J. Fluid Mech., Vol. 431, pp. 1-41.
  • Morino L., Kuo C.(1974) Subsonic Potential Aerodynamics for Complex Configurations: A General Theory, AIAA J., Vol. 12, No. 2, pp.191–197.
  • Arakeri V.H.(1975) Viscous Effects on the Position of Cavitation Separation from Smooth Bodies, J. Fluid Mech., Vol. 68, No. 4, pp.779–799.
  • Currie I.G. .(2002) Fundamental Mechanics of Fluids, Third Edition, University of Toronto, Canada.
  • Rouse H., Mc Nown J.S. .(1948) Cavitation and Pressure Distribution, Head Forms at Zero angle of Yaw, Stud. Engrg., State University of Iowa, Vol. 32.
  • Wei G., Yousheng H., Tianqun H. .(2001) Transcritical Patterns of Cavitating Flow and Trends of Acoustic Level, Transactions of the ASME, Vol. 123, pp. 850-856.
  • رشیدی ا. (1391) طرح بهینه شکل کاویتاتور برای پرتابه‌های زیرسطحی در جریان همراه با کاویتاسیون طبیعی و گازدهی‌شده به کمک روشهای عددی و تجربی. پایان­نامه دکتری: دانشگاه فردوسی مشهد.
  • پسندیده فرد م. و نوروزی م.، (1390)استفاده از مدل جت بازگشتی در انتهای کاویتی در شبیه سازی جریان همراه با کاویتاسیون حول هندسه های متقارن محوری به روش المان مرزی، مجله مهندسی مکانیک دانشگاه تبریز، د. 41، ش. 1، ص 22-11.
  • Billet M.L., Weir D.S., The effect of gas diffusion on the flow coefficient for a ventilated cavity, J. Fluids Eng., December issue, American Society of Mechanical Engineers, New York.
  • Pendar M., Roohi E. .(2016) Investigation of cavitation around 3D hemispherical head-form body and conical cavitator using different turbulence and cavitation models, Ocean Eng., Vol. 112, pp. 287-306.
Journal of Solid and Fluid Mechanics
Volume 13, Issue 6
January and February 2024
Pages 153-167

Files

Share

How to cite

Statistics