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Beyond the well-mixed room Turbulent jets (ASIDE)

PROFESSOR: So as a technical aside, let me go through and sketch the derivation of the structure of a turbulent jet, in particular the conical shape that we have when the flow is turbulent. So in order to study the mean flow profile we began with the Navier-Stokes equations which describe the momentum conservation and mass conservation or continuity of an incomprehensible so-called Newtonian fluid. So this is a complicated set of equations. In particular, we have this nonlinear term here, which is the inertial term. And we've already said that we had our high Reynolds number and turbulence results because the inertia is very strong compared to the viscous term which is here. So that's the divergence of the viscous or the viscous forces on the fluid. So these two terms we know are important. They have to balance and the inertia is particularly strong and it is what leads to the very complicated flows that we see. So you can solve these equations numerically on a co...