Fluid Dynamics pp 122-193 | Cite as

Motion in Three Dimensions

  • Richard von Mises
  • Kurt O. Friedrichs
Part of the Applied Mathematical Sciences book series (AMS, volume 5)

Abstract

Consider the equation for the potential function of an irrotational, incompressible fluid in three dimensions ΔФ = 0 with the velocity vector \(\vec q\) = grad Φ. The components of \(\vec q\) are \(u = \frac{{\partial \Phi }}{{\partial x}}v = \frac{{\partial \Phi }}{{\partial u}}w = \frac{{\partial \Phi }}{{\partial z.}}\)

Keywords

Vortex Vorticity 

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Copyright information

© Springer-Verlag New York Inc. 1971

Authors and Affiliations

  • Richard von Mises
    • 1
  • Kurt O. Friedrichs
    • 1
  1. 1.Courant Institute of Mathematical ScienceNew York UniversityNew YorkUSA

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