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- Deriving the Integral Form of the Navier Stokes equation
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 Divergence theore
- 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-Stokes equations must specify a form for the diffusive fluxes (e g otherwise you would have the Cauchy momentum equation not the Navier-Stokes momentum equation), e g Newtonian fluid for stress tensor
- 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
- Solved 1. Using the Navier-Stokes equations and the - Chegg
Using the Navier-Stokes equations and the continuity equation, obtain an expression for the velocity profile between two flat, parallel plates (Assume plates are stationary
- 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
- Navier Stokes: $ (u⋅∇)u$ vs $u⋅∇u$ - Physics Stack Exchange
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)
- Navier-Stokes Equations in Einstein Notation and its relation to . . .
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 posts: Index notation with Navier-Stokes equations and Questions about Navier-Stokes equations, Einstein notation, tensor rank but unfortunately to no
- Convective and Diffusive terms in Navier Stokes Equations
Convective and Diffusive terms in Navier Stokes Equations Ask Question Asked 13 years, 9 months ago Modified 3 years, 2 months ago
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