Derivation of Darcy's law from Stokes equation
On the Wikipedia entry of Darcy's law, a derivation of Darcy's law from Stokes equation is provided. The derivation starts at the Stokes equation, which reads: $$ \mu \nabla^2 u_i + \rho …
fluid dynamics - What do mathematicians mean by Navier Stokes …
I still don't know what mathematicians mean by Navier-Stokes existence and smoothness. Since there is a reward for proving it, it seems important to them. (in past several months I've read …
fluid dynamics - Unclear how heat interacts with Navier Stokes ...
The Navier-Stokes equation to which you refer is more generally the first moment of velocity of the Boltzmann equation. In order to get a proper connection to heating, you need a second …
Newest 'navier-stokes' Questions - Physics Stack Exchange
The Navier-Stokes equations describe fluid flows in continuum mechanics.
navier stokes - How to calculate the upper limit on the number of …
To put it bluntly, weather is described by the Navier-Stokes equation, which in turn exhibits turbulence, so eventually predictions will become unreliable. I am interested in a derivation of …
Incompressible Navier-Stokes equation in Fourier Space
I'm trying to derive the incompressible Navier-Stokes equation in Fourier space, given in e.g. Kraichnan & Montgomery (1980), Rep. Prog. Phys. 43 547 (PDF) (but probably countless …
navier stokes - boundary conditions for liquid with surface tension ...
In fact you will get a source term in the Navier-Stokes equations that looks like this: $$\sigma \kappa \delta (n) \mathbf {n} $$ where $\delta (n)$ is the Dirac Delta function that only has a …
navier stokes - Momentum Equations for Micropolar Fluid
Also what can be the stress tensor and couple stress tensor for micro-polar fluid and stress tensor for Navier-Stokes equation.
fluid dynamics - Does Navier-Stokes equations get correct result …
May 29, 2024 · Being Navier $-$ Stokes the governing equations of the fluid system, if one is able/interested in accurately solving them, he gets the "correct result". Need/desire for …
Why isn't there a term of temperature in Navier-Stokes equations ...
Oct 14, 2024 · The Navier-Stokes equation contains no temperature terms because it does not model heat transfer phenomena in fluids. Adding heat transfer effects to the equations of fluid …