Why hasn't an exact solution to the Navier-Stokes equations been …
Jan 23, 2015 · There are known solutions to the Navier-Stokes equations. A simple example would be laminar shear-driven flow between two moving plates. Just as in the case of Einstein's equations, the …
Convective and Diffusive terms in Navier Stokes Equations
My question has 2 parts: I just followed the derivation of Navier Stokes (for Control Volume CFD analysis) and was able to understand most parts. However, the book I use (by Versteeg) does not deri...
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 motion can …
What are the assumptions of the Navier-Stokes equations?
Navier Stokes equations can be exactly derived from kinetic equations. There are several assumptions regarding the reduction of the multiparticle distribution equations to a 1-particle distribution function …
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 online
Why is there a density instead of mass in the Navier-Stokes Equation ...
Oct 29, 2020 · The Navier-Stokes equation describes the motion of some infinitesimal volume of the fluid. That is we divide the fluid up into tiny volumes dV d V and the equation tells us how these tiny …
Navier-Stokes Derivation - Physics Stack Exchange
Oct 7, 2019 · Someone knows a physical derivation of the Navier-Stokes equation? Mainly the stress tensor. A lot of authors simply "jumps" the stress tensor and it's the more important of physical …
Navier-Stokes Equations in Einstein Notation and its relation to ...
Jul 28, 2022 · 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 …
fluid dynamics - From where does irreversibility arise in the Navier ...
Nov 7, 2020 · In the Navier-Stokes equations, the term that impedes the reversibility is the advective term $ {\bf u}\cdot\nabla {\bf u}$. This term represents the change in the local fluid velocity as the the …
Is there a relativistic version of Navier-Stokes equations?
Oct 4, 2022 · The relativistic version of Navier-Stokes equations is a quite different theory called Israel-Stewart hydrodynamics ("relativistic Navier-Stokes" are known as "Eckart" or "Landau" relativistic …