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Numerical simulation of the flow around two-dimensional partially cavitating hydrofoils

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Abstract

In the present study, a new approach is applied to the cavity prediction for two-dimensional (2D) hydrofoils by the potential based boundary element method (BEM). The boundary element method is treated with the source and doublet distributions on the panel surface and cavity surface by the use of the Dirichlet type boundary conditions. An iterative solution approach is used to determine the cavity shape on partially cavitating hydrofoils. In the case of a specified cavitation number and cavity length, the iterative solution method proceeds by addition or subtraction of a displacement thickness on the cavity surface of the hydrofoil. The appropriate cavity shape is obtained by the dynamic boundary condition of the cavity surface and the kinematic boundary condition of the whole foil surface including the cavity. For a given cavitation number the cavity length of the 2D hydrofoil is determined according to the minimum error criterion among different cavity lengths, which satisfies the dynamic boundary condition on the cavity surface. The NACA 16006, NACA 16012 and NACA 16015 hydrofoil sections are investigated for two angles of attack. The results are compared with other potential based boundary element codes, the PCPAN and a commercial CFD code (FLUENT). Consequently, it has been shown that the results obtained from the two dimensional approach are consistent with those obtained from the others.

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Authors and Affiliations

  1. Department of Naval Architecture and Marine Engineering, Yıldız Technical University, Istanbul, 34349, Turkey

    Fahri Celik & Yasemin Arikan Ozden

  2. Department of Naval Architecture and Marine Engineering, Istanbul Technical University, Istanbul, 34469, Turkey

    Sakir Bal

Authors
  1. Fahri Celik
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  2. Yasemin Arikan Ozden
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  3. Sakir Bal
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Correspondence to Sakir Bal.

Additional information

Foundation item: Supported by the Yıldız Technical University Scientific Research Projects Coordination Department. Project Number: 2012-10-01 KAP 02.

Fahri Çelik, graduated from the Department of Naval Architecture and Marine Engineering, İstanbul Technical University, Turkey in 1994. He completed his M.Sc., PhD in 1997, 2005, respectively. He has been working as a Professor at Yildiz Technical University, Turkey.

Yasemin Arikan Özden, graduated from the Department of Naval Architecture and Marine Engineering, Yildiz Technical University, Turkey in 2008. Shecompleted her M.Sc in 2010 and has been studying for her PhD since 2010 at Yildiz Technical University, Turkey. She has also been working as a Research Assistant at the NAME of YTU.

Sakir Bal was born in 1967. He is a full professor at the Department of Naval Architecture and Marine Engineering and superintendent of the Ata Nutku Ship Model Testing Laboratory, Istanbul Technical University. He was a visiting research scholar at the University of Texas, Austin, USA and the University of Newcastle upon Tyne (UK). He gave lectures at the University of Liege, Belgium. His current research interests include ship hydrodynamics, and marine propellers.

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Celik, F., Ozden, Y.A. & Bal, S. Numerical simulation of the flow around two-dimensional partially cavitating hydrofoils. J. Marine. Sci. Appl. 13, 245–254 (2014). https://doi.org/10.1007/s11804-014-1254-x

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  • DOI: https://doi.org/10.1007/s11804-014-1254-x

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