INDEX 



transpiration-cooled pipe flow, 

 heat transfer in, 460 

 perturbation parameter, 462 

 transpiration cooling, 429, 438 

 transport coefficients, turbulent, 102 

 transport processes, fundamental con- 

 siderations, 97 

 transport theory, 



comparison with experiment, 170 

 critical examination of, 169 

 triple velocity correlations, 205 

 Trouncer, J., 180 

 Tsien, H. S., 415, 483 

 Tsuji, H., 236 

 turbulence, 



origin in shear flow, 76 

 sustaining mechanism, 77 

 turbulence, statistical theory of, 



correlation function, 199, 202, 203, 205, 

 206, 208, 209 

 relation to spectral function, 211 

 correlation tensor, 

 double, 203, 208 

 triple, 205 

 correlations involving pressure, 206, 



209, 236 

 decay of homogeneous turbulence, 

 early period of, 232 

 final period of, 231 

 laws of, 230 

 diffusion (see turbulent diffusion) 

 double velocity correlations, 

 longitudinal, 202 

 transverse, 202 

 energy dissipation in isotropic tur- 

 bulence, 212 

 energy spectrum, stability of, 239 

 energy transfer hypotheses, 238 

 flatness factor, 200 

 Fourier transform relation, 211, 218 



derived, 215 

 frequency distribution of turbulent 



fluctuations, 198 

 homogeneous anisotropic turbulence, 

 201, 218 

 dynamical equations for, 219 

 homogeneous isotropic turbulence, 

 dynamical equations for, 210 

 kinematics of, 202 

 homogeneous turbulence, 200 



invariant theory of, 206 

 isotropic turbulence, 200 

 dynamics, 208 

 energy dissipation in, 212 

 kinematics, 202 

 spectral theory of, 210 

 von Kdrmdn-Howarth equation, 210 

 Kolmogoroff's scales, 224, 229 



turbulence, Kolmogoroff's theory, 221, 

 223 

 Loitsiansky parameter, 221, 226 

 mean values, 81, 197 

 Obkhoff spectrum, 225 

 pressure correlation, 206, 209, 236 

 probability distribution, 198 



joint, 199 

 quasi-Gaussian approximation, 200, 236 

 Reynolds equations, 197 

 shear flow, 245 

 similarity, 224, 225, 229 

 skewness factor, 454 

 spectrum of turbulence, 

 equation for change of, 68 

 relation to correlation function, 211 

 statistical averages, 198 

 structure of turbulence, 

 large scale, 219 

 small scale, 221 

 vortex-stretching, 223 

 vorticity scale, 210 

 turbulent "bursts," 6 

 turbulent diffusion, 240 

 coefficient of, 242 

 Gaussian distribution associated with, 



243 

 general behavior and effect, 79 

 involving more than one particle, 243 

 time scale of, 242 

 turbulent energy transfer among various 



frequencies, 214 

 turbulent exchange coefficient, 102, 170 

 boundary layer, 145 

 compared to kinematic viscosity, wake 

 and jet, 175 

 turbulent flow, 27, 370 

 cone solution, 388 



cones, von Kdrmdn momentum inte- 

 gral, 388 

 effect of variable free stream pressure 

 and variable wall temperature, 

 etc., 391 

 equation of continuity, 

 mean motion, 82 

 total motion, 82 

 flat plate solution, 370 

 friction coefficient, 381 

 heat transfer, 288, 372 

 kinetic energy equation, 

 mean motion, 83 

 total motion, 84 

 momentum equation, mean motion, 82 

 nature of, 76, 196 

 Navier-Stokes equation, total motion, 



82 

 properties by analogy to laminar flow, 

 79 



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