Abstract
The wave disturbance set up by the uniform motion of a Lagerstrom “singular needle” on or below the free surface of an incompressible viscous fluid is analyzed. Since the motion of this singularity generates a viscous wake, the interaction of the latter with the free surface is automatically included in the analysis. Based on formal expressions derived in earlier work, asymptotic representations for the wave height are derived which are valid for large Reynolds number relative to wavelength and for large distances downstream of the singularity. These representations explicitly show the effect of the viscous wake on the amplitude and phase of the surface waves. A definition of wave resistance is formulated appropriate to the large Reynolds number case, and curves of the wave resistance of the singularity versus speed are calculated.
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