[Gerry Kan]

Howdy Folks:

I have something of a philosophical question and would like to ask for your opinions.

I see that most texts and articles immediately use velocity component () to facilitate derivation of the important equations such as Reynolds/subgrid stress, eddy viscosity and the like.

In my case, I would to generalize the discussion treatment of turbulence (i.e., RANS averaging / subgrid scale filtering) for a given scalar (say, ). Would it come across to be a bit strange if I present something like:



instead of what is traditionally presented for velocity component:



or is it conceptually wrong, since turbulent diffusion for the corresponding scalar will be scaled according to the Eddy viscosity using Reynolds' analogy anyways?

Thanks in advance, Gerry.