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 …
Non-dimensionalization of the Navier-Stokes equations
Jan 17, 2024 · 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: …
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...
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 …
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 …
Navier-Stokes Equations in Einstein Notation and its relation to ...
Jul 28, 2022 · 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 …
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
fluid dynamics - Does Navier-Stokes equations get correct result for ...
May 29, 2024 · Does Navier equations (1822 formulation) get correct result for complex turbulent flow without turbulence model? Is this 1822 formulation?
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 …
Deriving Bernoulli's equation from Euler's equation
Mar 19, 2021 · I am doing a project regarding Navier-Stokes', Euler's and Bernoulli's equations. I am currently looking for source material that can help me understand the derivation of Bernoulli's …