Turbulent Fluid MotionThis comprehensive book is based on the Navier-Stokes and other continuum equations for fluids. It interprets the analytical and numerical solutions of the equations of fluid motion. Topics included are turbulence, and how, why, and where it occurs; mathematical apparatus used for the representation and study of turbulence; continuum equations used for the analysis of turbulence; ensemble, time, and space averages as they are applied to turbulent quantities; the closure problem of the averaged equations and possible closure schemes; Fourier analysis and the spectral form of the continuum equations, both averaged and unaveraged; nonlinear dynamics and chaos theory. |
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Common terms and phrases
attractor averaged equations boundary layer buoyancy forces calculated chaotic Comparison considered coordinate correlation equations decay Deissler dimensionless dissipation du₁/dx2 energy spectrum energy transfer evolution experimental Figure fluid Fourier transform fully developed given by eq gives grid higher-order homogeneous turbulence increases initial conditions instantaneous integrated isotropic isotropic turbulence kinematic viscosity longitudinal mean gradients mean velocity mean-velocity gradient Navier-Stokes equations nonlinear normal strain numerical solution obtained paxi phase space plotted in Fig Poincaré sections Prandtl number region Reynolds decomposition Reynolds number second-order tensor shear parameter shear stress spectra spectral equation subscript t-to t₁ Taylor series temperature gradient terms in eq theory transfer term transverse triple correlations turbulent energy turbulent flow turbulent heat transfer two-point U₁ unaveraged values vector velocity components velocity fluctuations velocity gradient velocity ratio viscous vortex wall wavenumber space x₁ zero ди дхк
References to this book
The Dynamics of Patterns M. I. Rabinovich,A. B. Ezersky,Patrick D. Weidman No preview available - 2000 |