Water Waves Due to a Rotating Singularity : With an Application to the Wave Making Resistance of a Turning Ship

Abstract

Water waves due to a rotating unsteady singularity are discussed. These may be important in relation to the theoretical treatments of water waves generated by a rotating force due to a typhoon, and of motions of a ship turning in waves. A general expression is given for water waves due to a rotating unsteady singularity. By using the result, a numerical example is given for the wave making resistance induced by the displacement effect of a ship turning in still water, and an interesting numerical result is obtained in the region of the high Froude number.