In fluid mechanics, solutions to the Laplace equation represent velocity potentials. This chapter introduces basic potentials which are often used as building blocks for potentials which describe more complicated flow patterns. Besides the parallel flow potential, it discusses singularities like source, vortex, and dipole, as well as combinations of these and their resulting flow fields. The chapter also presents an example to show how the singularities are used in the description of more complex and more practical flow patterns. Exploiting the linearity of the Laplace equation, new velocity potentials may be formed by linear superposition of singularities. Rather than using discrete singularities, it is more efficient to distribute them along contours or boundary surfaces. The chapter utilizes line distributions of sources and vortices to model the flow past thin lifting foils. Sources and dipoles play an important role in the numerical solution of potential flow problems.
Basic Solutions of the Laplace Equation
Fundamentals of Ship Hydrodynamics ; 191-206
2019-05-06
16 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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