Intermittence in fluid turbulence
10.1 Fluid turbulence in open flows
We begin with the traditional continuum considerations and then return to our finite-precision framework in order to analyze a set of experiments in section 10.6 below.
Consider the flow of an incompressible fluid past an object whose characteristic size is L and where the fluid velocity υ(x, t) of the incoming flow is uniform, with magnitude U far from the obstacle. The Navier–Stokes equations with the incompressibility condition (the fluid density ρ = constant) are
where ν is the kinematic viscosity and has units of a diffusion coefficient, cm2s–1, while P is ...