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- Navier-Stokes Derivation - Physics Stack Exchange
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 motion and
- fluid dynamics - Unclear how heat interacts with Navier Stokes . . .
The Navier-Stokes equation to which you refer is more generally the first moment of velocity of the Boltzmann equation In order to get a proper connection to heating, you need a second-velocity-moment Navier-Stokes equation The Boltzmann equation keeps track of distributions of particles This changes the question from "What is the density and flow of a fluid at a point x x at a time t t
- Convective and Diffusive terms in Navier Stokes Equations
Convective and Diffusive terms in Navier Stokes Equations Ask Question Asked 13 years, 3 months ago Modified 2 years, 9 months ago
- Favre Averaged Navier-Stokes equations - Physics Stack Exchange
Favre Averaged Navier-Stokes equations Ask Question Asked 1 year ago Modified 1 year ago
- fluid dynamics - What do mathematicians mean by Navier Stokes existence . . .
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 hasnt an exact solution to the Navier-Stokes equations been found . . .
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 known solutions regard simple situations with particular boundary conditions; a general solution that covers all possible cases is not known in either case One should not expect such a thing ever to be found
- What is the body force in the Navier Stokes Equations?
First, Navier-Stokes governs the fluid in your setup So, anything apart from the fluid will be an external force in N-S equation Body-force means an external force that applies in the bulk of the fluid, like gravity or a magnetic force Interaction with a "body", as a wing, which is external to the fluid domain, is done through boundary conditions : the integral of the total stress along the
- Validity of the Navier Stokes equations for turbulent flows
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 represented with a Taylor series (dropping O((δxi)2) O ((δ x i) 2) terms): After applying Newton's second law, and accounting for the contributions of viscous forces, body forces, and inetrial forces
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