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 …
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 …
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
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 …
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 …
Conservation of mass in Navier-Stokes equation
Oct 17, 2022 · 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. 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 …
Validity of the Navier Stokes equations for turbulent flows
Sep 10, 2017 · The derivation of the Navier-Stokes equation presupposes that the pressure, p p, and velocity, ui u i, are infinitely differentiable, so that the forces in each face of the fluid element can be …
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 …