The velocity potential for the flow due to point sources distributed arbitrarily along a straight line near to or at a linearized gravitational free surface is obtained in a new form by use of Fourier transforms. Such a method of representing the potential facilitates the determination of its behavior near to the line of singularities; this behavior is derived formally and its physical properties discussed. A brief illustration is given of a method of using this result in o theory for the motion of a slender ship.
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September 01 1964
On Line Distributions of Kelvin Sources
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Tuck, E. O.. "On Line Distributions of Kelvin Sources." J Ship Res 8 (1964): 45–52. doi: https://doi.org/10.5957/jsr.19188.8.131.52
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