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Chaos, Dynamics, and Fractals by Joseph L. McCauley

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10

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

image

where ν is the kinematic viscosity and has units of a diffusion coefficient, cm2s–1, while P is ...

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