Total derivative manipulation
Hey guys, I think I'm making this harder than it needs to be but anyway,
I have two transport equations, one in k (the turbulent kinetic energy) and one in (a dimensionaly independant variable). So two equations in the form
I am also given a relation to (the rate of dissipation of turbulent kinetic energy) which is
where m and n are constants.
I need to get the equation in into one in , e.g.
I assumed to just substitute for into the transport equation and then expand it out using the product rule but in getting a term as I end up with terms like
Anyone got any ideas how I'd get rid of these unwanted total derivatives?