## Variable Density Fluid TurbulenceIn various industrial applications, turbulence can be affected by density variations resulting from different origins acting simultaneously. This monograph is intended as a first attempt to address variable density fluid turbulence in a unifying manner. It is based on a rational approach, developed along a gradual analysis of the complexity resulting from density fluctuations in turbulence. The first part aims at providing the physical and theoretical framework of the analysis of density variations in fully turbulent flows. Its scope is deliberately educational. In the second part, basic data on dynamical and scalar properties of variable density turbulent flows are presented and discussed, based on experimental data and/or results from direct numerical simulations. This part is rather concerned with a research audience. The last part is more directly devoted to an engineering audience and deals with prediction methods for turbulent flows of variable density fluid. Both first and second order, single point modeling are discussed, with special emphasis on the capability to include specific variable density / compressibility effects. The main topics are: -Physical aspects of variable density turbulent flows, |

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### Contents

I | 1 |

II | 2 |

III | 3 |

V | 4 |

VI | 11 |

VII | 49 |

VIII | 50 |

IX | 52 |

XVIII | 73 |

XIX | 74 |

XX | 77 |

XXI | 79 |

XXII | 107 |

XXIII | 150 |

XXV | 152 |

XXVII | 258 |

### Common terms and phrases

acoustic analysis anisotropy approximation averaging baroclinic torque binary boundary layer Chapter Chassaing closure schemes coefficient compressibility effects compressible flows compressible turbulence constant density continuity equation contribution correlation corresponding denotes density fluctuations density fluid motions density ratio density situation density variations derived dilatation direct numerical simulations dissipation rate eddy eddy-viscosity equations governing evolution experimental expression Figure flow field fluctuating motion fluid turbulence formulation growth rate heat Helmholtz decomposition homogeneous instance instantaneous introduced isotropic isovolume length scale linear low speed low-speed mean density mean flow mean motion mean velocity mixing layer mode momentum Navier-Stokes equations obtained parameter passive scalar predict pressure fluctuations pressure-dilatation pressure-strain Reynolds stress Sarkar second-order shear flows shock solenoidal specific streamwise structure functions supersonic temperature tensor tion transport equation turbulence kinetic energy turbulence Mach number turbulent flows turbulent mass flux variable density fluid variable-density variance velocity field velocity fluctuations viscous vorticity Zeman

### References to this book

Numerische Verbrennungssimulation: Effiziente numerische Simulation ... Peter Gerlinger No preview available - 2005 |

Turbulent Shear Layers in Supersonic Flow Alexander J. Smits,Jean-Paul Dussauge No preview available - 2005 |