User talk:Conor murphy/sandbox

Improvements for Reynolds' Decomposition

One problem I see with this page is that ubar is described as the time average of the velocity, u. This is not necessarily the case. A function with periodicity could have an expectation of u(x,y,z,t)=sin(t). In this case ubar would be sin(t) and the perturbations, u', would be the perturbations from the sine curve.

Also including plots to this section would improve the understanding of the expectation and perturbations. In this case a one-dimensional plot of u vs t, ubar vs t, and u' vs t would show the breakdown between the different values.

Also another applicable use of Reynolds' decomposition would be in Reynolds' averaging the advection-diffusion. Here the Reynolds' decomposition would allow a turbulent diffusivity term to be added along with the molecular diffusivity.

Conor murphy (talk) 20:42, 26 April 2017 (UTC)