Foreword |
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1 | (5) |
PART I SEMI-EMPIRICAL MODELING OF TURBULENT MULTICOMPONENT GASES |
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Turbulence in Natural Media |
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6 | (59) |
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Turbulent Motion of a Fluid. General Considerations |
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6 | (11) |
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7 | (5) |
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Some Methods of Turbulence Simulation |
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12 | (1) |
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13 | (3) |
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The Dynamic Nature of Turbulence |
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16 | (1) |
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Turbulence in Atmospheres of Planets |
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17 | (18) |
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18 | (3) |
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Dynamics of the Atmospheres of Earth and Venus |
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21 | (2) |
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Dynamics of the Martian Atmosphere |
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23 | (4) |
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General Circulation of the Atmospheres of Giant Planets |
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27 | (8) |
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Turbulence in the Upper Atmosphere of Planets |
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35 | (14) |
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The Upper Atmospheres of the Terrestrial Planets |
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36 | (3) |
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Turbulent Diffusion in the Atmosphere of Terrestrial Planets |
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39 | (7) |
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The Upper Atmospheres of the Giant Planets |
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46 | (3) |
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Astrophysical and Cosmogonic Models |
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49 | (16) |
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The Birth and Evolution of Stars |
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49 | (7) |
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The Role of Turbulence in the Evolution of The Universe |
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56 | (1) |
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The Origin of Planetary Systems |
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57 | (5) |
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62 | (2) |
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64 | (1) |
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Regular Motion of Gaseous Mixtures Involving Physicochemical Interactions of the Components |
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65 | (47) |
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Initial Balance Equations and Conservation Laws for Regular Motions in Gaseous Mixtures |
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65 | (17) |
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Differential Equations for Material Balance |
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67 | (4) |
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The Conservation Equation for the Momentum of the Total Continuum |
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71 | (2) |
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Diverse Energy Equations for Multicomponent Media |
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73 | (5) |
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The Equation of State for a Mixture of Ideal Gases |
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78 | (1) |
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The Complete System of Hydrodynamic Equations for Gas Mixtures |
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79 | (3) |
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The Second Law of Thermodynamics: The Rate of Entropy Origin in Gaseous Mixtures |
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82 | (7) |
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83 | (4) |
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The Evolutionary Entropy Transfer Equation for Multicomponent Gaseous Mixtures |
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87 | (2) |
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Defining Relations for Diffusion and Heat Fluxes in Continuous Multicomponent Mixtures |
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89 | (23) |
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Linear Constituent Relations for Molecular Fluxes of Diffusion and Heat |
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89 | (5) |
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The Stefan-Maxwell Relations for Multicomponent Diffusion |
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94 | (3) |
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The Generalized Stefan-Maxwell Relations Based On the Methods of Thermodynamics of Irreversible Processes |
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97 | (7) |
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The Total Heat Flux in an Ideal Multicomponent Media |
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104 | (1) |
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Formulas for the Multicomponent Diffusion Coefficients |
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105 | (2) |
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Multicomponent Diffusion in the Upper Atmosphere |
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107 | (4) |
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111 | (1) |
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Turbulent Motion of Multicomponent Mixtures with Variable Thermophysical Properties |
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112 | (54) |
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Mean Motion of a Turbulent Multicomponent Mixture With Variable Density |
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113 | (22) |
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Choice of the Averaging Operator |
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114 | (4) |
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Averaged Conservation Laws for a Turbulized Mixture |
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118 | (17) |
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Turbulent Flows of Reacting Gaseous Mixtures |
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135 | (12) |
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The Average Thermal Equation of State for Ideal Gas Mixtures |
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135 | (1) |
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The Averaged Hydrodynamic Equations for a Mixture |
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136 | (2) |
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The Average Chemical Reaction Rate in Turbulent Flows |
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138 | (9) |
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Defining Relations for Turbulent Flows in Multicomponent Media |
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147 | (19) |
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147 | (8) |
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Modeling the Turbulent Transport Coefficients |
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155 | (3) |
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The Definition of Correlations Involving Density Fluctuations |
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158 | (7) |
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165 | (1) |
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Evolutionary Transfer Models for the Second Correlation Moments |
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166 | (40) |
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The General form of the Transfer Equation for Pair Correlations in a Compressible Flow |
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167 | (5) |
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Differential Transfer Equations for Fluctuations |
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168 | (2) |
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Evolutionary Transfer Equation: the General Form |
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170 | (2) |
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Turbulent Energy Balance Equations for Compressible Multicomponent Media |
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172 | (12) |
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The Equations for the Turbulent Stress Tensor |
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173 | (6) |
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The Transfer Equation for Turbulent Energy in Compressible Multicomponent Mixtures |
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179 | (5) |
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Transfer Equations for the Pair Correlations of Mixture Enthalpy and Concentrations of Components |
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184 | (22) |
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The Transfer Equation for Turbulent Heat Fluxes |
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185 | (2) |
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A Prognostic Equation for Mean-Square Fluctuations of the Mixture Enthalpy |
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187 | (2) |
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Correlations Including Fluctuations of the Substance Production Source |
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189 | (2) |
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The Transfer Equation for Turbulent Diffusion Fluxes |
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191 | (1) |
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The Evolutionary Transfer Equation for Correlations with Mixture Enthalpy and Composition Pulsations |
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192 | (2) |
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The Transfer Equation for Correlation Moments of Mixture Composition Pulsations |
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194 | (2) |
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196 | (2) |
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The Evolutionary Transfer Equation for the Scalar Dissipation Rate |
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198 | (2) |
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200 | (5) |
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205 | (1) |
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The Stefan-Maxwell Relations and the Heat Flux for Turbulent Multicomponent Continuum Media |
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206 | (25) |
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The Balance Equation for the Averaged Entropy in Turbulent Flows of Gaseous Mixtures |
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207 | (10) |
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The General form of the Evolutionary Equation for the Weighted-Mean Entropy |
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208 | (4) |
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The Balance Equation for Entropy and Entropy Production for the Turbulent Chaotic Subsystem |
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212 | (4) |
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The Balance Equation for the Total Turbulized Continuum Entropy |
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216 | (1) |
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Defining Relations for Multicomponent Turbulized Media: the Thermodynamic Approach |
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217 | (6) |
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Linear Kinematic Constitutive Relations |
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217 | (3) |
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Turbulent Diffusion and Heat Fluxes in Developed Turbulent Flows |
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220 | (3) |
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The Stefan-Maxwell Relation and the Heat Flux for Turbulent Mixtures. |
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223 | (8) |
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The Stefan-Maxwell Relation |
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223 | (4) |
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The Heat Flux in Turbulent Multicomponent Media |
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227 | (1) |
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228 | (3) |
PART II SOME MODEL PROBLEMS OF MULTICOMPONENT TURBULENCE |
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Diffusion Processes in the Thermosphere |
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231 | (24) |
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Diffusive Transfer in Atmospheric Multicomponent Gas Mixtures |
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232 | (10) |
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Molecular Heat and Mass Transfer |
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232 | (6) |
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Turbulent Multicomponent Fluxes of Mass and Energy |
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238 | (4) |
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Modeling the Terrestrial Lower Thermosphere |
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242 | (13) |
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The System of Differential Equations of the Model |
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243 | (2) |
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Boundary and Initial Conditions |
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245 | (1) |
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The Transfer Coefficients |
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246 | (1) |
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Ionization and Dissociation of the Atmospheric Components |
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247 | (3) |
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250 | (4) |
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254 | (1) |
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Turbulent Transfer Coefficients in Planetary Upper Atmospheres: A Semi-Empirical Determination |
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255 | (15) |
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The Original Equations and Their Transformations |
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255 | (5) |
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The Initial Evolutionary Transfer Equations |
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256 | (2) |
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Modeling the Correlation Terms |
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258 | (2) |
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The Meteorological Approximation |
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260 | (4) |
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The Oberbeck-Boussinesque Approximation |
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260 | (1) |
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The Turbulent Exchange Coefficients |
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261 | (3) |
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Numerical Calculation of the Turbulent Exchange Coefficients |
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264 | (6) |
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Basic Equations and Boundary Conditions |
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264 | (5) |
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269 | (1) |
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Statistical Parameters of Turbulence: Modeling From Fluctuations of the Refractive Index |
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270 | (38) |
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Algebraic Equations for Modeling the Turbulent Exchange Coefficients |
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271 | (8) |
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Modeling the Turbulent Exchange Coefficients |
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272 | (3) |
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Turbulent Exchange Coefficients |
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275 | (4) |
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The Refractive Index and the External Turbulence Scale |
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279 | (10) |
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Kinematics of Turbulence and Microstructure in Atmospheric Parameters |
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280 | (1) |
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Structure and Spectral Functions of Random Fields |
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281 | (2) |
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The Structure Function of the Refractive Index |
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283 | (2) |
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The Structure Characteristics of the Inhomogeneous Turbulent Atmosphere |
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285 | (1) |
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Fluctuations in the Refractive Index of Air |
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286 | (2) |
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The External Turbulence Scale and the Structure Characteristic of the Refractive Index |
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288 | (1) |
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The Structure Characteristic of the Refractive Index: Determination from Atmospheric Remote Sensing |
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289 | (9) |
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The Wave Equation and the SSP Method |
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290 | (1) |
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Plane Wave Amplitude Fluctuations in a Locally Isotropic Turbulent Medium |
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290 | (3) |
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The Evaluation of Intensity Fluctuations with the SSP Method |
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293 | (1) |
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Plane Light Wave Intensity Fluctuations and the Scintillation Index |
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294 | (1) |
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295 | (3) |
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Structure Characteristic of the Refractive Index and the Stellar Scintillation Index |
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298 | (10) |
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Geometry of the Observed Scintillations |
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298 | (1) |
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The Scintillation Photocurrent |
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299 | (2) |
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Dependence of Scintillations on Instrument Optics |
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301 | (1) |
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The Scintillation Index and the Structure Characteristic |
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302 | (1) |
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Spectra of Light Intensity Fluctuations |
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303 | (4) |
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307 | (1) |
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The Processes of Heat and Mass Transfer and Coagulation in Protoplanetary Gas-Dust Nebula |
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308 | (43) |
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Turbulence in Two-Phase Disperse Media. The Turbulent Transfer Coefficients in Rotating Gas-Dust Accretion Disks |
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309 | (20) |
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Modeling Shear Turbulence in the Disk |
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310 | (1) |
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Turbulent Energy Balance in Two-Phase Disperse Media |
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311 | (6) |
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317 | (6) |
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Turbulent Transfer Coefficients in the Gas-Dust Disk |
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323 | (2) |
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The Rotating Gas-Dust Disk: a Model Example |
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325 | (4) |
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Coagulation and Mass Transfer in The Turbulent Protoplanetary Nebula |
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329 | (22) |
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The Diffusion Equation for Dust Particle Coagulation |
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330 | (3) |
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Modeling the Eddy Diffusion Coefficient for the Gas-Dust Subdisk |
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333 | (6) |
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Coagulation Coefficients in the Turbulent Gas-Dust Disk |
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339 | (4) |
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The Coagulation Kinetics Equation: Solution by the Moments Method |
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343 | (6) |
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349 | (2) |
Conclusion |
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351 | (4) |
References |
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355 | (16) |
Subject Index |
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371 | |