Araştırma Makalesi
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Taper ratio influence on the performance of 3-D cavitating hydrofoils moving under free surface

Yıl 2023, Cilt: 3 Sayı: 1, 1 - 8, 22.06.2023
https://doi.org/10.14744/seatific.2023.0001

Öz

Taper ratio influence on the performance of three-dimensional (3-D) cavitating hydrofoils moving steadily under a free water surface has been investigated numerically. An iterative boundary element method (IBEM) developed before has been modified and extended to solve this problem. The fluid is assumed to be inviscid, incompressible and the flow irrotational. All variables and equations are made non-dimensional to achieve a consistent numerical scheme and a very quick convergence. The IBEM solves the hydrofoil problem and free surface problem separately with the effects of each other via their potential values in an iterative way. Both the 3-D hydrofoil surface and the free surface are modeled with constant strength source and constant strength doublet panels. The results of the method was first validated with those of a tapered wing. Later, it is applied to a tapered hydrofoil and the effects of taper ratio on cavitating hydrofoil performance have been investigated. It has been found that taper ratio causes a decrease in drag coefficient on cavitating hydrofoil thereby it causes an increase in lift-drag ratio in unbounded flow domain. Taper ratio also causes an improvement slightly the lift-drag ratio of the cavitating hydrofoil moving under a free surface.

Destekleyen Kurum

N/A

Teşekkür

N/A

Kaynakça

  • Abbott, I. H., & Doenhoff, A. V. (1959). Theory of wing sections (1st ed.). Dover Publications.
  • Anderson, J. (2016). Fundamentals of aerodynamics (6th ed.). McGraw-Hill.
  • Bal, S., Kinnas, S. A., & Lee, H. (2001). Numerical analysis of 2-D and 3-D cavitating hydrofoils under a free surface. Journal of Ship Research, 45(1), 34–49.
  • Bal, S., & Kinnas, S. A. (2002). A BEM for the prediction of free surface effect on cavitating hydrofoils. Computational Mechanics, 28, 260–270.
  • Bal, S., & Kinnas, S. A. (2003). A numerical wave tank model for cavitating hydrofoils. Computational Mechanics, 32(4-6), 259–268.
  • Bal, S. (2007). High-speed submerged and surface piercing cavitating hydrofoils, including tandem case. Ocean Engineering, 34, 1935–1946.
  • Cahill, J. F., & Gottlieb, S. M. (1950). Low-speed aerodynamic characteristics of a series of swept wings having NACA 65A006 airfoil sections (Report No. NACA RM L9J20). National Aeronautics and Space Administration.
  • Celik, F., Arikan, Y. O., & Bal, S. (2014). Numerical simulation of two- and three-dimensional partially cavitating hydrofoils. Ocean Engineering, 78, 22–34.
  • Cetinkaya, A., & Unal, U. O. (2020). A computational study into the effect of winglets on the performance of fully submerged hydrofoils. Applied Ocean Research, 104, Article 102357.
  • Guzelbey, I. H., Eraslan, Y., & Dogru, M. H. (2019). Effects of taper ratio on aircraft wing aerodynamic parameters: A comparative study. European Mechanical Science, 3(1), 18–23.
  • Katz, J., & Plotkin, A. (2001). Low speed aerodynamics: From wing theory to panel methods (2nd ed.). McGraw-Hill.
  • Kinnas, S. A., & Fine, N. E. (1993). A numerical nonlinear analysis of the flow around two- and three- dimensional partially cavitating hydrofoils. Journal of Fluid Mechanics, 254, 151–181.
  • Kinnas, S. A., & Hsin, C. Y. (1992). A boundary element method for the analysis of the unsteady flow around extreme propeller geometries. AIAA Journal, 30, 688–696.
  • Lee, C. S., & Kerwin, J. E. (2003). A B-spline higher order panel method applied to two-dimensional lifting problem. Journal of Ship Research, 47(4), 290–298.
  • Pernod, L., Sacher, M., Wackers, J., Augier, B., & Bot, P. (2023). Free surface effects on two-dimensional hydrofoils by RANS-VOF simulations. Journal of Sailing Technology, 8(1), 24–33.
  • Sun, S. Y., & Wu, G. X. (2022). Inviscid flow passing a lifting body with a higher order boundary element method. Engineering Analysis with Boundary Elements, 136, 144–157.
  • Uslu, Y., & Bal, S. (2008). Numerical prediction of wave drag of 2-D and 3-D bodies under or on a free surface. Turkish Journal of Engineering and Environmental Sciences, 32, 177–188.
  • Wetzel, B. E. (1955). Effect of taper ratio on lift, drag, and pitching moment characteristics of thin wings of aspect ratio 3 with 53.1⁰ sweepback of leading edge at subsonic and supersonic speeds. NACA RM A54J20.
  • Zhang, P. F., Wang, J. J., Liu, Y., & Wu, Z. (2009). Effect of taper ratio on aerodynamic performance of cropped non-slender delta wings. Journal of Aircraft, 46(1), 320–325.
Yıl 2023, Cilt: 3 Sayı: 1, 1 - 8, 22.06.2023
https://doi.org/10.14744/seatific.2023.0001

Öz

Kaynakça

  • Abbott, I. H., & Doenhoff, A. V. (1959). Theory of wing sections (1st ed.). Dover Publications.
  • Anderson, J. (2016). Fundamentals of aerodynamics (6th ed.). McGraw-Hill.
  • Bal, S., Kinnas, S. A., & Lee, H. (2001). Numerical analysis of 2-D and 3-D cavitating hydrofoils under a free surface. Journal of Ship Research, 45(1), 34–49.
  • Bal, S., & Kinnas, S. A. (2002). A BEM for the prediction of free surface effect on cavitating hydrofoils. Computational Mechanics, 28, 260–270.
  • Bal, S., & Kinnas, S. A. (2003). A numerical wave tank model for cavitating hydrofoils. Computational Mechanics, 32(4-6), 259–268.
  • Bal, S. (2007). High-speed submerged and surface piercing cavitating hydrofoils, including tandem case. Ocean Engineering, 34, 1935–1946.
  • Cahill, J. F., & Gottlieb, S. M. (1950). Low-speed aerodynamic characteristics of a series of swept wings having NACA 65A006 airfoil sections (Report No. NACA RM L9J20). National Aeronautics and Space Administration.
  • Celik, F., Arikan, Y. O., & Bal, S. (2014). Numerical simulation of two- and three-dimensional partially cavitating hydrofoils. Ocean Engineering, 78, 22–34.
  • Cetinkaya, A., & Unal, U. O. (2020). A computational study into the effect of winglets on the performance of fully submerged hydrofoils. Applied Ocean Research, 104, Article 102357.
  • Guzelbey, I. H., Eraslan, Y., & Dogru, M. H. (2019). Effects of taper ratio on aircraft wing aerodynamic parameters: A comparative study. European Mechanical Science, 3(1), 18–23.
  • Katz, J., & Plotkin, A. (2001). Low speed aerodynamics: From wing theory to panel methods (2nd ed.). McGraw-Hill.
  • Kinnas, S. A., & Fine, N. E. (1993). A numerical nonlinear analysis of the flow around two- and three- dimensional partially cavitating hydrofoils. Journal of Fluid Mechanics, 254, 151–181.
  • Kinnas, S. A., & Hsin, C. Y. (1992). A boundary element method for the analysis of the unsteady flow around extreme propeller geometries. AIAA Journal, 30, 688–696.
  • Lee, C. S., & Kerwin, J. E. (2003). A B-spline higher order panel method applied to two-dimensional lifting problem. Journal of Ship Research, 47(4), 290–298.
  • Pernod, L., Sacher, M., Wackers, J., Augier, B., & Bot, P. (2023). Free surface effects on two-dimensional hydrofoils by RANS-VOF simulations. Journal of Sailing Technology, 8(1), 24–33.
  • Sun, S. Y., & Wu, G. X. (2022). Inviscid flow passing a lifting body with a higher order boundary element method. Engineering Analysis with Boundary Elements, 136, 144–157.
  • Uslu, Y., & Bal, S. (2008). Numerical prediction of wave drag of 2-D and 3-D bodies under or on a free surface. Turkish Journal of Engineering and Environmental Sciences, 32, 177–188.
  • Wetzel, B. E. (1955). Effect of taper ratio on lift, drag, and pitching moment characteristics of thin wings of aspect ratio 3 with 53.1⁰ sweepback of leading edge at subsonic and supersonic speeds. NACA RM A54J20.
  • Zhang, P. F., Wang, J. J., Liu, Y., & Wu, Z. (2009). Effect of taper ratio on aerodynamic performance of cropped non-slender delta wings. Journal of Aircraft, 46(1), 320–325.

Ayrıntılar

Birincil Dil İngilizce
Konular Deniz Mühendisliği (Diğer)
Bölüm Araştırma Makaleleri
Yazarlar

Şakir BAL

Proje Numarası N/A
Yayımlanma Tarihi 22 Haziran 2023
Gönderilme Tarihi 1 Nisan 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 3 Sayı: 1

Kaynak Göster

APA BAL, Ş. (2023). Taper ratio influence on the performance of 3-D cavitating hydrofoils moving under free surface. Seatific Journal, 3(1), 1-8. https://doi.org/10.14744/seatific.2023.0001

Seatific Journal