How does a free surface flow cause non-linearity?

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SUMMARY

The discussion centers on the non-linearity caused by free surface flow, particularly through boundary conditions. It is established that thicker films exhibit greater boundary layer flow velocity, which influences the dynamics of surface waves. These waves can accumulate fluid from thinner films, leading to the formation of breaking waves that traverse the wet surface. For a deeper understanding, the equations governing these phenomena are elaborated in chapters 2 and 3 of "Free-surface flow: shallow-water dynamics" by Nikolaos D. Katopodes.

PREREQUISITES
  • Understanding of boundary layer theory
  • Familiarity with fluid dynamics principles
  • Knowledge of wave dynamics in fluid systems
  • Basic comprehension of mathematical modeling in physics
NEXT STEPS
  • Study the equations of motion in fluid dynamics
  • Explore the concept of boundary conditions in fluid flow
  • Investigate the dynamics of surface waves in shallow water
  • Read "Free-surface flow: shallow-water dynamics" by Nikolaos D. Katopodes for in-depth analysis
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Fluid dynamicists, researchers in hydrodynamics, and engineers working on surface flow applications will benefit from this discussion.

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TL;DR
Free surface flow , non linearity
How does a free surface flow cause non-linearity , is it through the boundary conditions ? Which one and how ? Thanks
 
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binbagsss said:
How does a free surface flow cause non-linearity , is it through the boundary conditions ...
Boundary layer flow velocity is greater for thicker films. A surface wave catches up with, and collects more fluid from thinner films, until it builds into a breaking wave, that rushes across the wet surface.
 
Baluncore said:
Boundary layer flow velocity is greater for thicker films. A surface wave catches up with, and collects more fluid from thinner films, until it builds into a breaking wave, that rushes across the wet surface.
in terms of the equations sorry, not physically, thanks
 
binbagsss said:
in terms of the equations sorry, not physically, thanks
Which situation and which equations.

I refer you to chapters 2 and 3 of;
Title: Free-surface flow: shallow-water dynamics
Author(s): Katopodes, Nikolaos D.
Publisher: Elsevier Science & Technology, Year: 2019
 

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