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[4] J.L.Hess and A.M.O.Smith. Calculation of nonlifting potential flow about arbitrary three dimensional bodies. Journal of Ship Research, vol 8(no 2), September 1964.

[5] T.T.Huang and Groves N.C. Effective wake: theory and experiment. In 13th Symposium on Naval Hydrodynamics, Tokyo, October 1980.

[6] B.Hunt. The mathematical basis and numerical principles of the boundary integral method for incompressible potential flow over 3-d aerodynamic configurations . In Numerical Methods in Applied Fluid Dynamics, pages pp 49– 135, Academic Press, 1980.

[7] F.T.Johnson. A General Panel Method for the Analysis and Design of Arbitrary Configrations in Incompressible Flows. Technical Report CR-3079, NASA, 1980.

[8] F.T.Johnson, F.E.Ehlers, and P.E.Rubbert. A higher order panel method for general analysis and design applications in subsonic flow. In Proceedings of fifth International Conference on Numerical Methods in Fluid Dynamics, Springer Verlag, 1976.

[9] J.E.Kerwin and D.S.Greeley. Numerical Method for the Calculation of Field Point Potential Due to a Cavitating Propeller: MIT-PUF3FPP Program Documentation and Listings. Technical Report 83–11, MIT, Department of Ocean Engineering, June 1983.

[10] J.E.Kerwin, S.A.Kinnas, J-T Lee, and W-Z Shih. A surface panel method for the hydrodynamic analysis of ducted propellers . Trans. SNAME, 95, 1987.

[11] J.E.Kerwin and C-S Lee. Prediction of steady and unsteady marine propeller performance by numerical lifting-surface theory. Trans. SNAME, vol 86, 1978.

[12] S.A.Kinnas. A Numerical Method for the Analysis of Cavitating Propellers in a Nonuniform Flow, MIT-PUF-3 Program Documentation. Technical Report 83–7, MIT, Department of Ocean Engineering, June 1983.

[13] Sir Horace Lamb. Hydrodynamics. Cambridge University Press, sixth edition, 1932.

[14] Y.-C.Sun. Calculations of the exciting forces at a flat plate induced by an intermittently cavitating propeller (in Chinese). Master's thesis, Department of Naval Architecture, National Taiwan Ocean University , June 1995.

[15] E.A.Weitendorf. Experimentelle untersuchungen der durch kavitierende propeller erzeugten druckschwankungen. SCHIFF UND HAFEN, Jahrgang 25. Heft 11, November 1973.

[16] H.B.Wilson and R.J.Van Houten. A Program for Interpolation, Smoothing, Fourier Analysis, and Effective Wake Estimation of Propeller Inflow Fields: MIT-WKPROC Program Documentation and Listings . Technical Report 83–8, MIT, Department of Ocean Engineering, June 1983.

Solutions of the Quadratic Dipole Strength Coefficients

As described in equation (11), the quadratic dipole strength distribution on the body surface, λ(ξ,η,ζ) , can be expressed in terms of the local coordinate system, (ξ,η), on the projection plane Σ (Figure 2):


The coefficients µ0,µξηξξ, µξηηη are determined from dipole strength at control points of neighboring nine panels (8 neighboring panels and the self panel) through a fitting process. If we now define λk as the dipole strength on the control point of the kth neighboring panel, then we can expressed the dipole strength of these 9 panels as follows:


where k=1,2,…9. By the least squares, we have the array []:

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