Summary
Presented is an elementary solution which is a particular solution of a thin slit in the potential two-dimensional flow. The solution satisfies the following conditions: 1) the remote velocities are equal to zero, 2) the normal velocity of fluid to the thin slit is a Dirac function, in other words, a flow with unit magnitude is passing through some point at the slit surface, 3) Joukowski hypothesis is used. The velocity at leading edge of the slit is infinite, and at trailing edge is finite. After using the obtained elementary solution, the multiple plate problem in potential two-dimensional flow can be reduced to a system of Fredholm integral equations. Numerical examples are given to demonstrate the use of proposed approach.
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Chen, Y.Z. Multiple plate problem in potential two-dimensional flow. Acta Mechanica 83, 149–156 (1990). https://doi.org/10.1007/BF01172976
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DOI: https://doi.org/10.1007/BF01172976