Non-Linear Analysis of the Flow Around Partially or Super-Cavitating Hydrofoils by a Potential Based Panel Method

Kinnas, Spyros A.; Fine, Neal E.

doi:10.1007/978-3-642-85463-7_28

Cited by 35 publications

(44 citation statements)

References 4 publications

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“…The position of the cavity boundary is determined by an iterative process in which the dynamic condition is satisfied on an approximate cavity surface and the kinematic condition is used to update the location of the surface. More recently, a method that uses Green's theorem to solve for the potential has been developed by Kinnas and Fine (1990) and has been applied to both partially and supercavitating hydrofoils. This appears to be superior to the velocity-based methods in terms of convergence.…”

Section: Three-dimensional Flowsmentioning

confidence: 99%

Cavitation and Bubble Dynamics

Brennen

2013

1,062

597

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Cavitation and Bubble Dynamics deals with the fundamental physical processes of bubble dynamics and the phenomenon of cavitation. It is ideal for graduate students and research engineers and scientists, and a basic knowledge of fluid flow and heat transfer is assumed. The analytical methods presented are developed from basic principles. The book begins with a chapter on nucleation and describes both the theory and observations in flowing and non-flowing systems. Three chapters provide a systematic treatment of the dynamics and growth, collapse, or oscillation of individual bubbles in otherwise quiescent fluids. The following chapters summarise the motion of bubbles in liquids, describe some of the phenomena that occur in homogeneous bubbly flows, with emphasis on cloud cavitation, and summarise some of the experimental observations of cavitating flows. The last chapter provides a review of free streamline methods used to treat separated cavity flows with large attached cavities.

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Section: Three-dimensional Flowsmentioning

confidence: 99%

Cavitation and Bubble Dynamics

Brennen

2013

1,062

597

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“…Refer to [27,28] for details. On the other hand, cavity detachment point is assumed to be known and in this study the leading edge of the body is chosen as the cavity detachment point:…”

Section: Formulation Of the Problemmentioning

confidence: 98%

“…In Equations (24) and (25), the second derivative of perturbation potentials with respect to x is calculated via applying the Dawson's original fourth-order backward finite difference scheme [11]. The following can be given for any ith panel [24]: (27) where the values of C A i , C B i , CC i and C D i are given in [11] in terms of the spatial discretization. In order to prevent the upstream waves, the first and second derivatives of perturbation potential with respect to x are enforced to be equal to zero [12].…”

Section: Numerical Implementationmentioning

confidence: 99%

Prediction of wave pattern and wave resistance of surface piercing bodies by a boundary element method

Bal

2007

Numerical Methods in Fluids

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SUMMARYAn iterative boundary element method, which was originally developed for both two-and three-dimensional cavitating hydrofoils moving steadily under a free surface, is modified and extended to predict the wave pattern and wave resistance of surface piercing bodies, such as ship hulls and vertical struts. The iterative nonlinear method, which is based on the Green theorem, allows the separation of the surface piercing body problem and the free-surface problem. The free-surface problem is also separated into two parts; namely, left and right (with respect to x axis) free-surface problems. Those all (three) problems are solved separately, with the effects of one on the other being accounted for in an iterative manner. The wetted surface of the body (ship hull or strut, including cavity surface if exists) and the left and right parts with respect to x axis of free surface are modelled with constant strength dipole and constant strength source panels. In order to prevent upstream waves, the source strengths from some distance in front of the body to the end of the truncated upstream boundary are enforced to be zero. No radiation condition is enforced for downstream and transverse boundaries. A transverse wave cut technique is used for the calculation of wave resistance. The method is first applied to a point source and a three-dimensional submerged cavitating hydrofoil to validate the method and a Wigley hull and a vertical strut to compare the results with those of experiments.

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“…Notice that ~(z) in Equation (18) is the unique solution to (17) which satisfies the Kutta condition (12). The cavitation number tr is determined by satisfying the cavity closure condition (13).…”

Section: Inversion Of the Integral Equationsmentioning

confidence: 99%

“…More recently, the non-linear flow around supercavitating hydrofoils has been addressed by employing numerical boundary element (panel) methods [10,11,12]. These methods discretize the hydrofoil and cavity surface into panels and apply the exact kinematic and dynamic boundary conditions on the exact cavity surface whose shape is determined iteratively.…”

Section: Introductionmentioning

confidence: 99%

Inversion of the source and vorticity equations for supercavitating hydrofoils

Kinnas

1992

J Eng Math

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The problem of a supercavitating hydrofoil of general shape with leading edge cavity detachment is addressed in linear theory in terms of unknown source and vorticity distributions on the foil and cavity. The related singular integral equations are inverted analytically and the cavitation number, the source and vorticity distributions are expressed in terms of integrals of quantities which depend only on the hydrofoil shape and the cavity length. Numerical algorithms for computing these integrals accurately and efficiently are given.

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Non-Linear Analysis of the Flow Around Partially or Super-Cavitating Hydrofoils by a Potential Based Panel Method

Cited by 35 publications

References 4 publications

Cavitation and Bubble Dynamics

Cavitation and Bubble Dynamics

Prediction of wave pattern and wave resistance of surface piercing bodies by a boundary element method

Inversion of the source and vorticity equations for supercavitating hydrofoils

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