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 …
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 …
fluid dynamics - What does $ \mu \nabla^ {2} \vec V$ mean in the …
Nov 18, 2021 · In the Navier-Stokes equations there's this term μ∇2V μ ∇ 2 V →. I don't really understand what this means. What is the physical meaning of the Laplacian of the velocity vector …
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
Navier Stokes: $ (u⋅∇)u$ vs $u⋅∇u$ - Physics Stack Exchange
Sep 29, 2020 · I can find this term stated both ways in different literature. Are they equivalent? It's weird because the dot is a dot product in (u⋅∇), but ∇u being a gradient of a vector field, would (presumably)
Conservation of mass in Navier-Stokes equation
Oct 17, 2022 · 7 I just started looking into Navier-Stokes Equations and one of the two equation of Navier-Stokes is: $$\nabla \cdot \vec u = 0.$$ This equation is said to be the conservation of mass. …
How does one calculate the viscous term in the integral form of navier ...
Sep 23, 2023 · 2 I learned about the integral form of the navier stokes equation and I am trying to find an explanation for this viscous term at the end but I've searched everywhere and I can't find anything.
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 …
Deriving the Integral Form of the Navier Stokes equation
Jun 28, 2019 · 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 …
What is the Navier-Stokes Energy equation? - Physics Stack Exchange
Aug 8, 2021 · I'm trying to understand the basics of fluid dynamics and the Navier-Stokes equations by following the short book A Mathematical Introduction to Fluid Dynamics by Chorin and Marsden (I'm …