## Atmospheric turbulence: models and methods for engineering applications |

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Page 76

3.7.5 Consequences of

rotation of the coordinate axes is referred to as

implications of

theoretical ...

3.7.5 Consequences of

**Isotropy**A motion field in which statistics are invariant torotation of the coordinate axes is referred to as

**isotropic**. The physicalimplications of

**isotropy**will be discussed in Chapter 4; here we use it as atheoretical ...

Page 96

For this reason alone, it is clear that small-scale motions in the lower atmosphere

are not

components are not correlated with each other. If they were, then the correlation

could be ...

For this reason alone, it is clear that small-scale motions in the lower atmosphere

are not

**isotropic**. Another consequence of**isotropy**is that the velocitycomponents are not correlated with each other. If they were, then the correlation

could be ...

Page 97

In the case of

two functions — the longitudinal and lateral correlations, or equivalently,

longitudinal and lateral spectral densities. A longitudinal correlation or spectral

density is ...

In the case of

**isotropy**or local**isotropy**, this set of nine functions reduces to justtwo functions — the longitudinal and lateral correlations, or equivalently,

longitudinal and lateral spectral densities. A longitudinal correlation or spectral

density is ...

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### Contents

PART ONE FOUNDATIONS OF TURBULENCE THEORY | 1 |

Fundamentals of Fluid Flow | 10 |

Statistical Descriptions | 33 |

Copyright | |

12 other sections not shown

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### Common terms and phrases

American Meteorological Society applications approximation assume assumption atmospheric turbulence average boundary layer calculate Chapter characteristic function coefficients coherence constant convection correlation function cospectra decreases defined density function depends diffusion distribution eddy ensemble equation estimate exceedance statistics Figure fluctuations forcing frequency friction velocity Gaussian Gaussian process gradients gust heat flux height Hence horizontal increases inertial range integral isotropic Kaimal Lagrangian large-scale linear mean wind measurements mechanical turbulence Monin-Obukhov scaling motion neutral air nonlinear normal observations obtain Panofsky parameters peak planetary boundary layer probability density function properties Published with permission ratio response Richardson number roughness length Royal Meteorological Society scalars spectra spectral density spectrum stable air standard deviation strong winds structure surface layer temperature theory turbulent flow uniform terrain unstable air values variables variance velocity components vertical velocity wave number wind components wind direction wind profile wind shear wind speed