I How does a free surface flow cause non-linearity?

  • I
  • Thread starter Thread starter binbagsss
  • Start date Start date
  • Tags Tags
    Flow
AI Thread Summary
Free surface flow causes non-linearity primarily through boundary conditions, influencing flow dynamics. Thicker films exhibit greater boundary layer flow velocity, allowing surface waves to gather more fluid from thinner films, leading to breaking waves. The discussion emphasizes the mathematical aspects rather than physical explanations, prompting inquiries about specific equations involved. Reference is made to "Free-surface flow: shallow-water dynamics" by Nikolaos D. Katopodes for further insights. Understanding these dynamics is crucial for analyzing fluid behavior in various applications.
binbagsss
Messages
1,291
Reaction score
12
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
 
Physics news on Phys.org
Links? :wink:
 
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
 
Thread 'Gauss' law seems to imply instantaneous electric field'

Thread 'Gauss' law seems to imply instantaneous electric field'

Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire. We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges. By using the Lorenz gauge condition: $$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$ we find the following retarded solutions to the Maxwell equations If we assume that...
View full post »

Thread 'Do electron density waves accompany EM waves in coaxial cables?'

Maxwell’s equations imply the following wave equation for the electric field $$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2} = \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$ I wonder if eqn.##(1)## can be split into the following transverse part $$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2} = \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$ and longitudinal part...
View full post »

Similar threads

I How does friction in a pipe occur, with the "no slip condition" ?
Replies
25
Views
2K
B Some Questions About Drag (for ships in water and airplanes in air)
Replies
5
Views
2K
I Can Couette Flow with Wavy Plates?
Replies
12
Views
1K
I Air flow between sphere/cylinder and membrane
Replies
1
Views
590
A Model the pressure of a zero-gravity simple fluid system
Replies
6
Views
1K
I Energy Flow From Battery to the Light Bulb
Replies
16
Views
4K
I Open channel flow: derive function for energy slope on friction?
Replies
1
Views
1K
B Water surface behavior under pressure change
Replies
4
Views
1K
B Fluid Flow Deflection Bending Ahead of Airfoil?
Replies
7
Views
2K
I DC current flows in a wire when two loops are brought close by?
Replies
14
Views
1K

Hot Threads

Recent Insights

Back
Top