Viscous Flow in Pipes.pdf
Viscous Flow in Pipes.pdf
Viscous Flow in Pipes.pdf
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8.3.5 Chaos and TurbulenceChaos theory <strong>in</strong>volves the behavior of nonl<strong>in</strong>eardynamical systems and their response to <strong>in</strong>itial andboundary conditions. The flow of viscous fluid,governed by the complex nonl<strong>in</strong>ear Navier-Stokesequations, is such a system.The chaotic behaviorassociated with thelogistic equation with<strong>in</strong>crease of r:Xnext = rX(1 − X)r=3(from Chaos, by James Gleick)