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HYDRODYNAMICS OF SHIP PROPELLERS

Hydrodynamics Of Ship Propellers
 
 Author(s)                

John P. Breslin, Poul Andersen
 Publisher
Cambridge University Press
 Date
1996
 Pages
560
 Format
pdf
 Size
10.4 Mb

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   All extensive, highly mathematical literature exists dealing with fluid-mechanical aspects of ship propellers. Invariably, the mathematical developments are only outlined, impeding easy comprehension even by knowledgeable readers. Our aim is to elucidate the mathematical theory in much greater detail than is generally available in extant papers. In this context, the first three chapters are provided as aids for those who have not had extensive practice in the application of classical hydrodynamical theory to flows induced in fluids by the motions of bodies. The fluid of interest is water which is taken to be incompressible and inviscid. Modifications arising from viscosity are described in a later chapter through reference to experimental observations. This review begins with the derivation of the concept of continuity or conservation of mass at all points in sourceless flow and proceeds to the development of the Euler equations of motion. In the restricted but important class of irrotational motions (zero vorticity) Laplace's equation for the velocity potential is obtained. The remainder of this chapter is devoted to derivations of fundamental solutions of Laplace's equation in two and three dimensions.
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