|
- Why hasnt an exact solution to the Navier-Stokes equations been found . . .
I once tried to read the Millennium Problems statement about the Navier-Stokes equations, decided it was beyond me, and left it at that But now I am studying general relativity and through Physics SE learned that the Einstein Field Equations once didn't have exact solutions, but now do ever since the Schwartzchild solution
- What are the assumptions of the Navier-Stokes equations?
The Navier-Stokes equations assume (assuming we are looking at a vector conservative form): The continuum hypothesis, which is applicable for Knudsen numbers of much less than unity The Navier-Stokes equations must specify a form for the diffusive fluxes (e g otherwise you would have the Cauchy momentum equation not the Navier-Stokes momentum equation), e g Newtonian fluid for stress tensor
- Navier-Stokes Equations in Einstein Notation and its relation to . . .
Once I figure this out I assume the rest is just a trivial application of the divergence-free condition and from there we recover Poisson's equation Note that I have already read the following posts: Index notation with Navier-Stokes equations and Questions about Navier-Stokes equations, Einstein notation, tensor rank but unfortunately to no
- Why isnt there a term of temperature in Navier-Stokes equations . . .
There is something that I don't understand it at all, which is the non existence of temperature in the Navier-Stokes equation! Isn't these equations are found in the first place to describe the mot
- Deriving the Integral Form of the Navier Stokes equation
I'm trying to follow the book Turbulence by Davidson Currently I'm having trouble in converting the differential NS equation to its integral form but I cannot see clearly how the Divergence theore
- Non-dimensionalization of the Navier-Stokes equations
In 2D simulations using Large Eddy Simulation (LES) methodology, Favre averaging is commonly applied to the variables involved in the Navier-Stokes equations, resulting in: \\begin{align}\\label{aq}
- Convective and Diffusive terms in Navier Stokes Equations
Convective and Diffusive terms in Navier Stokes Equations Ask Question Asked 13 years, 9 months ago Modified 3 years, 2 months ago
- fluid dynamics - What do mathematicians mean by Navier Stokes existence . . .
I still don't know what mathematicians mean by Navier-Stokes existence and smoothness Since there is a reward for proving it, it seems important to them (in past several months I've read online
|
|
|