Kooperativer Bibliotheksverbund

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Format: XVIII, 782 S. : graph. Darst., Kt.

ISBN: 978-1-107-01603-3

Content: Thermodynamics, Kinetics and Microphysics of Clouds presents a unified theoretical foundation that provides the basis for incorporating cloud microphysical processes in cloud and climate models. In particular, the book provides: • a theoretical basis for understanding the processes of cloud particle formation, evolution and precipitation, with emphasis on spectral cloud microphysics based on numerical and analytical solutions of the kinetic equations for the drop and crystal size spectra along with the supersaturation equation; • the latest detailed theories and parameterizations of drop and crystal nucleation suitable for cloud and climate models derived from the general principles of thermodynamics and kinetics; • a platform for advanced parameterization of clouds in weather prediction and climate models; • the scientific foundation for weather and climate modification by cloud seeding. This book will be invaluable for researchers and advanced students engaged in cloud and aerosol physics, and air pollution and climate research.

Note: Contents: Preface. - 1. Introduction. - 1.1. Relations among Thermodynamics, Kinetics, and Cloud Microphysics. - 1.2. The Correspondence Principle. - 1.3. Structure of the Book. - 2. Clouds and Their Properties. - 2.1. Cloud Classification. - 2.2. Cloud Regimes and Global Cloud Distribution. - 2.2.1. Large-Scale Condensation in Fronts and Cyclones. - 2.2.2. Sc-St Clouds and Types of Cloud-Topped Boundary Layer. - 2.2.3. Convective Cloudiness in the Intertropical Convergence Zone. - 2.2.4. Orographic Cloudiness. - 2.3. Cloud Microphysical Properties. - 2.4. Size Spectra and Moments. - 2.4.1. Inverse Power Laws. - 2.4.2. Lognormal Distributions. - 2.4.3. Algebraic Distributions. - 2.4.4. Gamma Distributions. - 2.5. Cloud Optical Properties. - Appendix A.2. Evaluation of the Integrals with Lognormal Distribution. - 3. Thermodynamic Relations. - 3.1. Thermodynamic Potentials. - 3.2. Statistical Energy Distributions. - 3.2.1. The Gibbs Distribution. - 3.2.2. The Maxwell Distribution. - 3.2.3. The Boltzmann Distribution. - 3.2.4. Bose–Einstein Statistics. - 3.2.5. Fermi–Dirac Statistics. - 3.3. Phase Rules. - 3.3.1. Bulk Phases. - 3.3.2. Systems with Curved Interfaces. - 3.4. Free Energy and Equations of State. - 3.4.1. An Ideal Gas. - 3.4.2. Free Energy and the van der Waals Equation of State for a Non-Ideal Gas. - 3.5. Thermodynamics of Solutions. - 3.6. General Phase Equilibrium Equation for Solutions. - 3.6.1. General Equilibrium Equation. - 3.6.2. The Gibbs–Duhem Relation. - 3.7. The Clausius–Clapeyron Equation. - 3.7.1. Equilibrium between Liquid and Ice Bulk Phases. - 3.7.2. Equilibrium of a Pure Water Drop with Saturated Vapor. - 3.7.3. Equilibrium of an Ice Crystal with Saturated Vapor. - 3.7.4. Humidity Variables. - 3.8. Phase Equilibrium for a Curved Interface - The Kelvin Equation. - 3.9. Solution Effects and the Köhler Equation. - 3.10. Thermodynamic Properties of Gas Mixtures and Solutions. - 3.10.1. Partial Gas Pressures in a Mixture of Gases. - 3.10.2. Equilibrium of Two Bulk Phases around a Phase Transition Point. - 3.10.3. Raoult’s Law for Solutions. - 3.10.4. Freezing Point Depression and Boiling Point Elevation. - 3.10.5. Relation of Water Activity and Freezing Point Depression. - 3.11. A diabatic Processes. - 3.11.1. Dry Adiabatic Processes. - 3.11.2. Wet Adiabatic Processes. - Appendix A.3. Calculation of Integrals with the Maxwell Distribution. - 4. Properties of Water and Aqueous Solutions. - 4.1. Properties of Water at Low Temperatures and High Pressures. - 4.1.1. Forms of Water at Low Temperatures. - 4.1.2. Forms of Water at High Pressures. - 4.2. Theories of Water. - 4.3. Temperature Ranges in Clouds and Equivalence of Pressure and Solution Effects. - 4.4. Parameterizations of Water and Ice Thermodynamic Properties. - 4.4.1. Saturated Vapor Pressures. - 4.4.2. Heat Capacity of Water and Ice. - 4.4.3. Latent Heats of Phase Transitions. - 4.4.4. Surface Tension between Water and Air or Vapor. - 4.4.5. Surface Tension between Ice and Water or Solutions. - 4.4.6. Surface Tension between Ice and Air or Vapor. - 4.4.7 Density of Water. - 4.4.8. Density of Ice. - 4.5. Heat Capacity and Einstein-Debye Thermodynamic Equations of State for Ice. - 4.6. Equations of State for Ice in Terms of Gibbs Free Energy. - 4.7. Generalized Equations of State for Fluid Water. - 4.7.1. Equations of the van der Waals Type and in Terms of Helmholtz Free Energy. - 4.7.2. Equations of State Based on the Concept of the Second Critical Point. - Appendix A.4. Relations among Various Pressure Units. - 5. Diffusion and Coagulation Growth of Drops and Crystals. - 5.1. Diffusional Growth of Individual Drops. - 5.1.1. Diffusional Growth Regime. - 5.1.2. The Kinetic Regime and Kinetic Corrections to the Growth Rate. - 5.1.3. Psychrometric Correction Due to Latent Heat Release. - 5.1.4. Radius Growth Rate. - 5.1.5. Ventilation Corrections. - 5.2. Diffusional Growth of Crystals. - 5.2.1. Mass Growth Rates. - 5.2.2. Axial Growth Rates. - 5.2.3. Ventilation Corrections. - 5.3. Equations for Water and Ice Supersaturations. - 5.3.1. General Form of Equations for Fractional Water Supersaturation. - 5.3.2. Supersaturation Relaxation Times and Their Limits. - 5.3.3. E quation for Water Supersaturation in Terms of Relaxation Times. - 5.3.4. Equivalence of Various Forms of Supersaturation Equations. - 5.3.5. Equation for Fractional Ice Supersaturation. - 5.3.6. Equilibrium Supersaturations over Water and Ice. - Liquid Clouds. - Ice Clouds. - Mixed Phase Clouds. - 5.3.7. A diabatic Lapse Rates with Non zero Supersaturations. - 5.4. The Wegener–Bergeron–Findeisen Process and Cloud Crystallization. - 5.5. Kinetic Equations of Condensation and Deposition in the Adiabatic Process. - 5.5.1. Derivation of the Kinetic Equations. - 5.5.2. Some Properties of Regular Condensation. - 5.5.3. Analytical Solution of the Kinetic Equations of Regular Condensation. - 5.5.4. Equation for the Integral Supersaturation. - 5.6. Kinetic Equations of Coagulation. - 5.6.1. Various Forms of the Coagulation Equation. - 5.6.2. Collection Kernels for Various Coagulation Processes. - Brownian Coagulation. - Gravitational Coagulation. - 5.7. Thermodynamic and Kinetic Equations for Multidimensional Models. - 5.8. Fast Algorithms for Microphysics Modules in Multidimensional Models. - 6. Wet Aerosol Processes. - 6.1. Introduction. - 6.1.1. Empirical Parameterizations of Hygroscopic Growth. - 6.1.2. Empirical Parameterizations of Droplet Activation. - 6.2. Equilibrium Radii. - 6.2.1. Equilibrium Radii at Subsaturation. - 6.2.2. Equilibrium Radii of Interstitial Aerosol in a Cloud. - 6.3. Critical Radius and Supersaturation. - 6.4. Aerosol Size Spectra. - 6.4.1. Lognormal and Inverse Power Law Size Spectra. - 6.4.2. Approximation of the Lognormal Size Spectra by the Inverse Power Law. - 6.4.3. Examples of the Lognormal Size Spectra, Inverse Power Law, and Power Indices. - 6.4.4. Algebraic Approximation of the Lognormal Distribution. - 6.5. Transformation of the Size Spectra of Wet Aerosol at Varying Humidity. - 6.5.1. Arbitrary Initial Spectrum of Dry Aerosol. - 6.5.2. Lognormal Initial Spectrum of Dry Aerosol. - 6.5.3. Inverse Power Law Spectrum. - 6.5.4. Algebraic Size Spectra. - 6.6. CCN Differential Supersaturation Activity Spectrum. - 6.6.1. A rbitrary Dry Aerosol Size Spectrum. - 6.6.2. Lognormal Activity Spectrum. - 6.6.3. Algebraic Activity Spectrum. - 6.7. Droplet Concentration and the Modified Power Law for Drops Activation. - 6.7.1. Lognormal and Algebraic CCN Spectra. - 6.7.2. Modified Power Law for the Drop Concentration. - 6.7.3. Supersaturation Dependence of Power Law Parameters. - Appendix A.6. Solutions of Cubic Equations for Equilibrium and Critical Radii. - 7. Activation of Cloud Condensation Nuclei into Cloud Drops. - 7.1. Introduction. - 7.2. Integral Supersaturation in Liquid Clouds with Drop Activation. - 7.3. Analytical Solutions to the Supersaturation Equation. - 7.4. Analytical Solutions for the Activation Time, Maximum Supersaturation, and Drop Concentration. - 7.5. Calculations of CCN Activation Kinetics. - 7.6. Four Analytical Limits of Solution. - 7.7. Limit #1: Small Vertical Velocity, Diffusional Growth Regime. - 7.7.1. Lower Bound. - 7.7.2. Upper Bound. - 7.7.3. Comparison with Twomey’s Power Law. - 7.8. Limit #2: Small Vertical Velocity, Kinetic Growth Regime. - 7.8.1. Lower Bound. - 7.8.2. Upper Bound. - 7.9. Limit #3: Large Vertical Velocity, Diffusional Growth Regime. - 7.9.1. Lower Bound. - 7.9.2. Upper Bound. - 7.10. Limit #4: Large Vertical Velocity, Kinetic Growth Regime. - 7.10.1. Lower Bound. - 7.10.2. Upper Bound. - 7.11. Interpolation Equations and Comparison with Exact Solutions. - Appendix A.7. Evaluation of the Integrals J2 and J3 for Four Limiting Cases. - 8. Homogeneous Nucleation. - 8.1. Metastable States and Nucleation of a New Phase. - 8.2. Nucleation Rates for Condensation and Deposition. - 8.2.1. Application of Boltzmann Statistics. - 8.2.2. The Fokker–Planck

Language: English