The Theory of Homogeneous Turbulence
Cambridge University Press, 1953 - Mathematics - 197 pages
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.
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anemometer approximately asymptotic average Batchelor and Townsend Central Limit Theorem correlation functions curves described determined different Reynolds numbers dynamical equation effect energy spectrum energy transfer energy-containing eddies energy-containing range equilibrium range exist experimental field of turbulence final period flatness factor fluid Fourier analysis Fourier components Fourier transform function E(K G. I. Taylor gauze homogeneous turbulence hypothesis inertia forces inertial subrange initial conditions integral isotropic turbulence joint-probability distribution kinetic energy large Reynolds numbers large wave-numbers linear measurements motion associated Navier-Stokes equation normal distribution obtained parameters period of decay points pressure probability density function probability distribution problem Proc product mean values quantities quasi-equilibrium range of wave-numbers relation scalar function solution spectrum function spectrum tensor statistically independent Stewart and Townsend stream theoretical theory transfer of energy turbulent motion universal equilibrium variation vector velocity components velocity correlation velocity field velocity-product mean values viscous forces vorticity wave-number space wind tunnel zero