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, …
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 …
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 …
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 …
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. …
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 - Does Navier-Stokes equations get correct result …
May 29, 2024 · Does Navier equations (1822 formulation) get correct result for complex turbulent flow without turbulence model? Is this 1822 formulation?
Index notation with Navier-Stokes equations - Physics Stack …
UPDATE: Tha vector form of Navier-Stokes equations (general) is: The term: v⋅∇v v ∇ v in index notation is the inner (dot) product of the velocity field and the gradient operator applied to 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 type of PDE are Navier-Stokes equations, and Schrödinger …
What type of PDE are Navier-Stokes equations, and Schrödinger equation? I mean, are they parabolic, hyperbolic, elliptic PDEs?