Some Surface Effects on Gravity Waves in a Viscous Fluid

  • Peder A. Tyvand
Part of the NATO ASI Series book series (NSSB, volume 174)


The complex dispersion relation for gravity waves in a viscous fluid of infinite depth was computed by Chandrasekhar1. He assumed a stress-free surface, which may be expressed by
$$\frac{{\partial \text{u}}} {{\partial \text{Y}}} + \frac{{\partial \text{v}}} {{\partial \text{X}}} = 0,\,\,\,\,\,Y = 0$$
valid in linear theory. Two-dimensional motion is considered, where x is a horizontal coordinate along the undisturbed fluid surface, and y is a vertical coordinate opposite gravity. g denotes gravitational acceleration, while u and v are horizontal and vertical velocity components.


Convection Immobilization Dition Crest Terion 


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Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • Peder A. Tyvand
    • 1
  1. 1.Department of Physics and MeteorologyAgricultural University of NorwayAas-NLHNorway

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