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Forum: Main CFD Forum

November 17, 2010, 09:21

Replies: 8

Viscous term in Navier Stokes Equations

Views: 7,581

Posted By dandalf

Tank you Ramesh \tau_{ij} = \left(...

Tank you Ramesh

\tau_{ij} = \left( \frac{\delta u_i}{\delta x_j}+\frac{\delta u_j}{\delta x_i} - \frac{2}{3}\frac{\delta u_k}{\delta x_k}\delta_{ij}\right)

where presumably \delta_{ij} is the...

Forum: Main CFD Forum

November 17, 2010, 08:07

Replies: 8

Viscous term in Navier Stokes Equations

Views: 7,581

Posted By dandalf

Hi Pete, I'm still strugelling to see the...

Hi Pete,

I'm still strugelling to see the equivelence the link you posted gave the viscos term for the ith dimension as,

\frac{\delta \tau_{i,j}}{\delta x_j}

which agrees with the...

Forum: Main CFD Forum

November 17, 2010, 07:02

Replies: 8

Viscous term in Navier Stokes Equations

Views: 7,581

Posted By dandalf

I have also come across a third form of the...

I have also come across a third form of the viscous term

\rho \nu \frac{\delta}{\delta x_j}\left(\frac{\delta U_i}{\delta x_j} + \frac{\delta U_j}{\delta x_i} \right)
("Benchmark Computations of...

Forum: Main CFD Forum

November 16, 2010, 10:51

Replies: 8

Viscous term in Navier Stokes Equations

Views: 7,581

Posted By dandalf

I presume then if I am creating a finite volume...

I presume then if I am creating a finite volume solver for unsteady flows over complex geometries, I need the dimensional form.

Yet many authours seem to be usind the non-dimentionalized...

Forum: Main CFD Forum

November 16, 2010, 07:31

Replies: 8

Viscous term in Navier Stokes Equations

Views: 7,581

Posted By dandalf

Viscous term in Navier Stokes Equations

Hi

This might seem like a bit of a basic question, but what should the viscous term be,

Some authors give it as,

\frac{1}{Re} \left(\frac{d^2u}{dx^2}...

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