Analysis of Potential Flow around 3-Dimensional Hydrofoils by Combined Source and Dipole Based Panel Method

The paper deals with the computation of potential flow problem around the three-dimensional hydrofoil by the combined source and dipole based panel method without considering the effect of free surface. The mathematical modeling of the problem is constructed by specifying the Laplace equation with the body boundary condition, the boundary condition for the flow disturbance far from the body and the Kutta condition at the trailing edge of the lifting hydrofoil. In order to solve the problem the Laplace equation is transformed into an integral equation in terms of a distribution of singular solutions (such as, sources and doublets) on the boundaries. After satisfying the boundary conditions the integral equation can be written in a matrix form and this matrix is solved by Gaussian Elimination procedure. The Kutta condition is applied at the trailing edge of the lifting body to generate required circulation which is constant across the wake. The verification of the numerical modeling is made using the NACA 0012 hydrofoil and the validity of the computer scheme is checked by comparing the numerical result with the analytical one of van de Vooren hydrofoil.

並列關鍵字

potential flow ； combined source and dipole panel method ； kutta condition ； NACA 0012 and van de Vooren hydrofoils

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