The transition to turbulence

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Abstract
Fluid flows have been studied systematically for more than a century and their equations of motion are well known, yet the transition from laminar flow to turbulent flow remains an enigma. The difficulty lies in the intractability of the nonlinear hydrodynamic equations that express the conservation of mass, momentum and energy for a fluid continuum. Although these equations can be linearized and readily solved for a system near thermodynamic equilibrium, the solutions of the nonlinear equations—required to describe fluids far from equilibrium—are generally neither unique nor obtainable. Modern optical and computer techniques and new concepts in the theory of nonlinear systems are yielding insights into such hydrodynamic instabilities as Couette flow, vortex streets and the Rayleigh–Bénard instability.

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