[yidongxia]

I came across some literature containing plots of k+ versus distance-to-the-wall

(for example, http://web.stanford.edu/class/me469b...turbulence.pdf)

But I was not able to find a mathematical expression for k+ (normalized turbulent kinetic energy, I guess).

Could anyone have a clear idea about it?

Any comment is much appreciated!

[DarylMusashi]

Yes, k stands for turbulent kinetic energy. The normalized value k+ is defined as k / u_tau. u_tau is the friction velocity, which is defined as SQRT(tau_w / rho), where tau_w is the wall shear stress and rho the local density of the fluid.

For example here (http://ntrs.nasa.gov/archive/nasa/ca...9890004370.pdf) you have got all formulars in in a more readable way in the nomenclature of the paper.

[yidongxia]

Thanks for the answer!

Originally Posted by DarylMusashi

Yes, k stands for turbulent kinetic energy. The normalized value k+ is defined as k / u_tau. u_tau is the friction velocity, which is defined as SQRT(tau_w / rho), where tau_w is the wall shear stress and rho the local density of the fluid.

For example here (http://ntrs.nasa.gov/archive/nasa/ca...9890004370.pdf) you have got all formulars in in a more readable way in the nomenclature of the paper.