The suction side of a surface piercing hydrofoil, as a section of a Surface Piercing Propeller (SPP), is usually exposed to three phases of flow consisting air, water, and vapour. Hence, ventilation and cavitation pattern of such section during the initial phase of water entry plays an essential role for the propeller’s operational curves. Accordingly, in the current paper a numerical simulation of a simple surface piercing hydrofoil in the form of an oblique wedge is conducted in three-phase environment by using the coupled URANS and VOF equations. The obtained results are validated against water entry experiments and super-cavitation tunnel test data. The resulting pressure curves and free surface profiles of the wedge water entry are presented for different velocity ratios ranging from 0.12 to 0.64. Non-dimensional forces and efficiency relations are defined in order to present the wedge water entry characteristics. Congruent patterns are observed between the performance curves of the propeller and the wedge in different fully ventilated or partially cavitated operation modes. The transition trend from fully ventilated to partially cavitated operation of the surface piercing section of a SPP is studied and analyzed through wedge’s performance during the transitional period.
1. Brandt H.: Modellversuche mit Schiffspropellern an der Wasseroberfiache Schiff und Hafen. 25(5) 1973 pp.415–422.
2. Cox B.D.: Hydrofoil theory for vertical water entry PhD thesis Massachusetts Institute of Technology Cambridge MA USA 1971.
3. Dinh N.N.: Some Experiments on a Supercavitating Plane Hydrofoil with Jet-Flap J. Ship Research SNAME 1968 pp. 207-219.
4. Faltinsen O.M. Semenov Y.A.: Nonlinear problem of flat-plate entry into an incompressible liquid. J. Fluid Mech. 611 2008 pp. 151–173.
5. Farsi M. Ghadimi P.: Finding the best combination of numerical schemes for 2D SPH simulation of wedge water entry for a wide range of dead-rise angles. Int. J Naval Archit. Ocean Eng. 6 2014 pp. 638-651.
6. Farsi M. Ghadimi P.: Effect of flat deck on catamaran water entry through smoothed particle hydrodynamics. Institution of Mechanical Engineering Part M J. Engineering for the Maritime Environment March 2014 published online.
7. Farsi M. Ghadimi P.: Simulation of 2D symmetry and asymmetry wedge water entry by smoothed particle hydrodynamics method. J. Brazilian Society of Mech. Sci. Eng. 37(3) 2015 pp. 821-835.
8. Feizi Chekab M.A. Ghadimi P. Farsi M.: Investigation of three-dimensionality effects on aspect ratio on water impact of 3D objects using smoothed particle hydrodynamics method. J. Brazilian Soc. Mech. Sci. Eng 2015 published online: June 2015. DOI: 10.1007/s40430-015-0367-8.
9. Furuya O.: A performance-prediction theory for partially submerged ventilated propellers. J. Fluid Mechanics 151 1985 pp. 311-335.
10. Ghadimi P. Saadatkhah A. Dashtimanesh A.: Analytical solution of wedge water entry by using Schwartz–Christoffel conformal mapping. Int. J. Modeling Simulation and Scientific Computing. 2(3) 2011 pp. 337-354.
11. Ghadimi P. Dashtimanesh A. Djeddi S.R.: Study of water entry of circular cylinder by using analytical and numerical solutions. J. Brazilian Society of Mech. Sci. Eng. 37(3) 2012 pp. 821-835
12. Ghadimi P. Feizi Chekab MA. Dashtimanesh A.: A numerical investigation of the water impact of an arbitrary bow section. ISH J. Hydraul. Eng. 19(3) 2013 pp. 186-195.
13. Ghadimi P. Feizi Chekab MA. Dashtimanesh A.: Numerical simulation of water entry of different arbitrary bow sections. J Naval Archit. Marine Eng. 11 (2) 2014 pp. 117-129.
14. Hadler J.B. Hecker R.: Performance of Partially Submerged Propellers Proc. 7th ONR Symposium on Naval Hydrodynamics Rome Italy. 1968.
15. Hecker R.: Experimental Performance of a Partially Submerged Propeller in Inclined Flow SNAME Spring Meeting Lake Buena Vista Florida USA 1973.
16. Javanmardi N. Ghadimi P.: Hydroelastic analysis of surface piercing hydrofoil during initial water entry phase J. Scientia Iranica accepted to be published 2017.
17. Javanmardi N. Ghadimi P.: Hydroelastic analysis of a semi submerged propeller using simultaneous solution of Reynolds averaged Navier–Stokes equations and linear elasticity equations Journal of Engineering for Maritime Environment? 2017.
18. Ji B. Luo X.W. Wang X. Peng X.X. Wu Y.L. Xu H.Y.: Unsteady numerical simulation of cavitating turbulent flow around a highly skewed model marine propeller. J. Fluids Eng.-Trans ASME 133 (1) 011102 2011.
19. Khabkkhpasheva TI Kim Y Korobkin AA.: Generalized Wagner Model of Water Impact by Numerical Conformal Mapping. App. Ocean Res. 44 2014 pp. 29-38.
20. Kruppa CFL.: Testing of Partially Submerged Propellers Proc. 13th ITTC Report on Cavitation. Berlin & Hamburg Germany 1972.
21. Kudo T. Ukon Y.: Calculation of super cavitating propeller performance using a vortex-lattice method in: Second International Symposium on Cavitation Tokyo Japan 1994.
22. Kudo T. Kinnas S.: Application of vortex/source lattice method on supercavitating propellers in 24th American Towing Tank Conference College Station TX USA 1995.
23. Maki K.J. Lee D. Troesch A.W. Vlahopoulos N.: Hydroelastic impact of a wedge-shaped body. Ocean Engineering 38 2011 pp. 621–629.
24. Mejri I. Bakir F. Rey R. Belamri T.: Comparison of computational results obtained from a homogeneous cavitation model with experimental investigations of three inducers J. Fluids Eng.-Trans. ASME 128 2006 pp.1308–1323
25. Olofsson N.: A Contribution on the Performance of Partially Submerged Propellers Proc. FAST ‘93 2nd Intl. Conf. on Fast Sea Transportation. Yokohama Japan 1 1993 pp. 765-776.
26. Olofsson N.: Force and Flow Characteristics of a Partially Submerged Propeller PhD Thesis Department of Naval Architecture and Ocean Engineering Chalmers Univ. Gotenborg Sweden 1996.
27. Piro D.J. Maki K.J.: Hydroelastic Wedge Entry and Exit. 11th International Conference on Fast Sea Transportation FAST 2011 Honolulu Hawaii USA September 2011.
28. Piro D.J. Maki K.J.: Hydroelastic analysis of bodies that enter and exit water. Journal of Fluids and Structures 37 2013 pp. 134–150.
29. Panciroli R.: Water entry of flexible wedges: Some issues on the FSI phenomena. App. Ocean Res. 39 2013 pp.72-74.
30. Schnerr G.H. Sauer J.: Physical and numerical modeling of unsteady cavitation dynamics in: Proceeding of 4th International Conference on Multiphase Flow New Orleans USA 2001.
31. Shademani R. Ghadimi P.: Estimation of water entry forces spray parameters and secondary impact of fixed width wedges at extreme angles using finite element based finite volume and volume of fluid methods. J. Brodogradnja 67(2) 2016 pp. 101-124.
32. Shademani R. P. Ghadimi.: Asymmetric Water Entry of Twin Wedges with Different Deadrises Heel Angles and Wedge Separations using Finite Element Based Finite Volume Method and VOF. Journal of Applied Fluid Mechanics 10(1) 2017 pp. 353-368.
33. Shademani R. Ghadimi P.: Numerical assessment of turbulence effect on forces spray parameters and secondary impact in wedge water entry problem using k-ε method Scientia Iranica- B 24(1) 2017 pp. 223-236.
34. Singhal A.K. Athavale M.M. Li H. Jiang Y.: Mathematical basis and validation of the full cavitation model J. Fluid Engineering 124 2002 pp. 617-624.
35. Vinayan V. Kinnas S.A.: A numerical nonlinear analysis of two-dimensional ventilating entry of surface-piercing hydrofoils with effects of gravity J. Fluid Mech. 658 2010 pp. 383–408.
36. Vinayan V. A Boundary Element Method for the Strongly Nonlinear Analysis of Ventilating Water-entry and Wave-body Interaction Problems. PhD thesis Ocean Engineering Group Architectural and Environmental Engineering University of Texas at Austin Austin TX USA 2009.
37. Wang D.P.: Water entry and exit of a fully ventilated foil J. Ship Res. 21 (1) 1977 pp. 44–68.
38. Wang D.P.: Oblique water entry and exit of a fully ventilated foil J. Ship Res 23 1979 pp. 43–54.
39. Wang G. Zhu X. Sheng Z.: Hydrodynamic forces of a three-dimensional fully ventilated foil entering water. J. Hydrodynamics 5(2) 1990.
40. Wu T.Y.: A Free-Streamline Theory for Two-Dimensional Fully Cavitated Hydrofoils Mathematical Physics 35 1956 pp. 236–265.
41. Yim B.: An application of linearized theory to water entry and water exit problems. Part 2 with ventilation Rep. 3171. NSRDC Washington DC USA. 1969.
42. Yim B.: Linear theory on water entry and exit problems of a ventilating thin wedge J. Ship Res. 18 (1) 1974 pp. 1–11.
43. Young Y.L.: Numerical modeling of supercavitating and surface-piercing propellers PhD thesis Ocean Engineering Group Department of Civil ? University of Texas at Austin Austin TX USA 2002.
44. Young Y.L. Kinnas S.A.: Analysis of supercavitating and surface-piercing propeller flows via BEM J. Computational Mechanics 32 2003 pp. 269-280.
45. Young Y.L. Savander B.R.: Numerical analysis of large-scale surface-piercing propellers. J. Ocean Engineering 38 2011 pp. 1368-1381.
46. Zwart P. Gerber A.G. Belamri T.: A Two-Phase Model for Predicting Cavitation Dynamics ICMF International Conference on Multiphase Flow Yokohama Japan 2004.
47. Plik : PMR-2016-00084 : 43230 zn. norm. [24 str] stan 2018-01-16 kor. ang. epw