| Contents |
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| 1 | Concise Information About Single-Phase and Heterogeneous Turbulent Flows | 1 |
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| | 1.1 | Preliminary Remarks | 1 |
| | 1.2 | Equations of Single-Phase Turbulent Flows | 1 |
| | | 1.2.1 | Algebraic Models of Turbulence | 4 |
| | | 1.2.2 | One-Parameter Models of Turbulence | 6 |
| | | 1.2.3 | Two-Parameter Models of Turbulence | 7 |
| | 1.3 | Main Characteristics of Single-Phase Flows | 9 |
| | | 1.3.1 | Distributions of Averaged Velocity | 9 |
| | | 1.3.2 | Distributions of Averaged Fluctuation Velocities | 11 |
| | | 1.3.3 | Turbulent Energy | 12 |
| | | 1.3.4 | Energy Spectrum of Turbulence | 13 |
| | | 1.3.5 | Correlations in Turbulent Flows | 13 |
| | | 1.3.6 | Scales of Turbulent Flows | 15 |
| | 1.4 | Main Characteristics of Heterogeneous Flows | 17 |
| | | 1.4.1 | Time of Dynamic Relaxation of Particles | 17 |
| | | 1.4.2 | Time of Thermal Relaxation of Particles | 18 |
| | | 1.4.3 | Stokes Numbers | 18 |
| | | 1.4.4 | Particle Concentration | 19 |
| | 1.5 | Classification of Heterogeneous Turbulent Flows | 22 |
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| 2 | Mathematical Simulation of Particle-Laden Gas Flows | 27 |
| | 2.1 | Preliminary Remarks | 27 |
| | 2.2 | Special Features of Simulation of Heterogeneous Flows of Different Types | 28 |
| | 2.3 | Description of Motion of Solid Particles Suspended in Turbulent Flow | 30 |
| | | 2.3.1 | Lagrangian Approach | 30 |
| | | 2.3.2 | Eulerian Continuum Approach | 39 |
| | 2.4 | Description of Motion of Gas Carrying Solid Particles | 42 |
| | | 2.4.1 | Algebraic Models | 45 |
| | | 2.4.2 | One-Parameter Models | 46 |
| | | 2.4.3 | Two-Parameter Models | 48 |
| | | 2.4.4 | Methods of Direct Numerical Simulation | 48 |
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| 3 | Physical Simulation of Particle-Laden Gas Flows | 51 |
| | 3.1 | Preliminary Remarks | 51 |
| | 3.2 | Laser Doppler Anemometry and its Advantages | 52 |
| | 3.3 | Special Features and Objectives of Experimental Studies of Heterogeneous Flows | 55 |
| | 3.4 | Special Features of Studies of the Behavior of Solid Particles | 57 |
| | | 3.4.1 | Optimization of LDA Parameters | 58 |
| | | 3.4.2 | Measurement of the Velocities of Poly disperse Particles | 61 |
| | | 3.4.3 | Monitoring of the Accuracy of the Results | 67 |
| | | 3.4.4 | Measurement of the Relative Concentration of Particles | 68 |
| | 3.5 | Special Features of Studies of the Effect of Solid Particles on Gas Flow | 75 |
| | | 3.5.1 | Estimation of Cross-talk: Methods of Signal Selection | 75 |
| | | 3.5.2 | Estimation of the Efficiency of Amplitude Selection of Signals | 78 |
| | 3.6 | Experimental Apparatuses | 85 |
| | | 3.6.1 | Experimental Setup for Studying Upward Flows of Gas Suspension | 86 |
| | | 3.6.2 | Experimental Setup for Studying Downward Flows of Gas Suspension | 87 |
| | | 3.6.3 | The Choice of Particle Characteristics: An Example | 88 |
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| 4 | Particle-Laden Channel Flows | 91 |
| | 4.1 | Preliminary Remarks | 91 |
| | 4.2 | The Behavior of Solid Particles and Their Effect on Gas Flow | 92 |
| | | 4.2.1 | Averaged Velocities of Gas and Particles | 92 |
| | | 4.2.2 | Fluctuation Velocities of Gas and Particles | 98 |
| | | 4.2.3 | The Effect of Particles on the Energy Spectrum and Scales of Turbulence of Gas | 107 |
| | | 4.2.4 | Generalization of Datal | 111
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| | 4.3 | Simulation of the Effect of Particles on Turbulent Energy of Gas | 115 |
| | | 4.3.1 | The Dissipation of Turbulent Energy by Small Particles | 116 |
| | | 4.3.2 | The Generation of Turbulent Energy by Large Particles | 119 |
| | | 4.3.3 | The Effect of Particles on Turbulent Energy of Gas | 121 |
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| 5 | Particle-Laden Flows Past Bodies | 127 |
| | 5.1 | Preliminary Remarks | 127 |
| | 5.2 | A Flow with Particles in the Region of the Critical Point of a Body | 128 |
| | | 5.2.1 | Theoretical Investigations | 129 |
| | | 5.2.2 | Experimental Investigations | 138 |
| | 5.3 | A Particle-Laden Flow in the Boundary Layer of a Body Subjected to Flow | 150 |
| | | 5.3.1 | Theoretical Investigations | 151 |
| | | 5.3.2 | Experimental Investigations | 156 |
| | 5.4 | The Body Drag in Particle-Laden Flows | 165 |
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| Conclusions | 169 |
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| References | 173 |
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| Index | 187 |