How does a free surface flow cause non-linearity?

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Discussion Overview

The discussion revolves around the non-linearity caused by free surface flow, particularly focusing on the role of boundary conditions and the mathematical equations governing these phenomena. Participants explore both physical and mathematical perspectives on the topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether non-linearity in free surface flow is related to boundary conditions and seeks clarification on which conditions are relevant.
  • Another participant suggests that boundary layer flow velocity increases with thicker films, leading to surface waves that can gather fluid from thinner films, potentially resulting in breaking waves.
  • A participant emphasizes the need for a mathematical explanation rather than a physical one, asking for specific situations and equations related to the topic.
  • A reference to a book on shallow-water dynamics is provided, indicating a source that may contain relevant equations and discussions.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and focus, with some seeking physical explanations and others emphasizing mathematical formulations. No consensus is reached on the specific boundary conditions or equations involved.

Contextual Notes

Participants have not specified the assumptions underlying their claims, nor have they detailed the mathematical steps needed to fully understand the non-linearity in free surface flow.

binbagsss
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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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