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binbagsss
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- TL;DR Summary
- 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
How does a free surface flow cause non-linearity?
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berkeman
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Baluncore
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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.binbagsss said:
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binbagsss
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in terms of the equations sorry, not physically, thanksBaluncore said:
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Baluncore
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Which situation and which equations.binbagsss said:
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
1. How does a free surface flow cause non-linearity?
A free surface flow causes non-linearity due to the interaction between the fluid particles and the boundaries of the flow. As the flow moves along the surface, it can experience changes in velocity, pressure, and direction, leading to complex behaviors that cannot be accurately described by linear equations.
2. What are some examples of non-linear effects in free surface flows?
Some examples of non-linear effects in free surface flows include wave breaking, turbulence, and the formation of vortices. These phenomena arise from the interactions between different parts of the flow, causing deviations from simple linear relationships.
3. How do non-linearities impact the stability of free surface flows?
Non-linearities can significantly impact the stability of free surface flows by introducing instabilities that can lead to chaotic behavior or sudden changes in the flow pattern. Understanding and controlling these non-linear effects is crucial for predicting and managing the behavior of free surface flows.
4. Can non-linear effects in free surface flows be modeled mathematically?
While non-linear effects in free surface flows can be challenging to model mathematically, there are various numerical techniques and computational models that can help simulate and analyze these complex behaviors. These models often involve solving non-linear partial differential equations to capture the interactions between different components of the flow.
5. What are the practical implications of non-linearities in free surface flows?
The presence of non-linear effects in free surface flows can have significant practical implications for various engineering applications, such as ship design, coastal engineering, and environmental monitoring. Understanding and accounting for these non-linearities is essential for designing efficient and safe systems that can withstand the complex behaviors of free surface flows.
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