The earth's atmosphere its physics and dynamics

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1. Verfasser: Saha, Kshudiram 1918- (VerfasserIn)
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adam_text Contents Part I Physics of the Earth s Atmosphere 1 The Sun and the Earth - The Solar System and the Earth s Gravitation .................................................... 3 1.1 Introduction .............................................. 3 1.2 Earth s Gravitational Force - Gravity ......................... 4 1.3 Geopotential Surfaces ..................................... 6 1.4 Motion in the Earth s Gravitational Field - The Law of Central Forces ................................................... 6 2 The Earth s Atmosphere - Its Origin, Composition and Properties .. 9 2.1 Introduction: Origin of the Earth s Atmosphere ................ 9 2.2 Composition of the Atmosphere ............................. 10 2.3 Properties and Variables of the Atmosphere ................... 12 2.3.1 Pressure ......................................... 12. 2.3.2 Temperature ...................................... 15 2.3.3 Density .......................................... 21 2.3.4 Other Variables of the Atmosphere ................... 22 2.3.5 Observing the Atmosphere .......................... 22 2.4 Gas Laws - Equations of State .............................. 23 2.4.1 The Equation of State - General ..................... 23 2.4.2 The Equation of State of an Ideal Gas ................. 24 2.4.3 The Equation of State of a Mixture of Gases ........... 26 2.4.4 The Equation of State of a Real Gas .................. 26 3 Heat and Thermodynamics of the Atmosphere .................... 27 3.1 Introduction. The Nature of Heat and Kinetic Theory ........... 27 3.2 The First Law of Thermodynamics ........................... 27 3.3 Specific Heats of Gases .................................... 28 3.4 Adiabatic Changes in the Atmosphere ........................ 30 3.4.1 Adiabatic Relationship Between Pressure, Temperature and Volume ...................................... 30 3.4.2 Potential Temperature .............................. 30 3.4.3 Dry Adiabatic Lapse Rate of Temperature with Height .. 31 3.4.4 Static Stability of Dry Air - Buoyancy Oscillations ..... 31 3.4.5 Adiabatic Propagation of Sound Waves ............... 33 3.5 The Concept of Entropy .................................... 33 3.6 The Second Law of Thermodynamics ........................ 36 3.6.1 Carnot Engine .................................... 36 3.6.2 Statement of the Second Law of Thermodynamics ...... 38 3.7 Thermodynamic Equilibrium of Systems: Thermodynamic Potentials ................................. 40 3.7.1 Free Energy or Helmholtz Potential .................. 40 3.7.2 Free Enthalpy, or Gibbs Potential, or Gibbs Free Energy 41 3.8 The Third Law of Thermodynamics .......................... 41 3.9 The Atmosphere as a Heat Engine ........................... 42 Water Vapour in the Atmosphere: Thermodynamics of Moist Air ... 43 4.1 Introduction .............................................. 43 4.2 Humidity of the Air - Definitions ............................ 44 4.3 Density of Moist Air - Virtual Temperature ................... 45 4.4 Measurement of Humidity — Hygrometers/Psychrometers ........ 46 4.5 Ascent of Moist Air in the Atmosphere - Pseudo- Adiabatic Process 48 4.6 Saturated Adiabatic Lapse Rate of Temperature ................ 50 4.7 Equivalent Potential Temperature ............................ 50 4.8 Variation of Saturation Vapour Pressure with Temperature ....... 51 4.8.1 The Clausius-Clapeyron Equation .................... 51 4.8.2 Melting Point of Ice - Variation with Pressure .......... 53 4.9 Co-existence of the Three Phases of Water - the Triple Point ..... 53 4.10 Stability of Moist Air ...................................... 55 4.10.1 Thermodynamic Diagrams .......................... 56 Physics of Cloud and Precipitation ............................... 59 5.1 Introduction - Historical Perspective ......................... 59 5.2 Cloud-Making in the Laboratory - Condensation Nuclei ......... 60 5.3 Atmospheric Nuclei - Cloud Formation in the Atmosphere ...... 62 5.4 Drop-Size Distribution in Clouds ............................ 64 5.5 Rate of Fall of Cloud and Rain Drops ........................ 65 5.6 Supercooled Clouds and Ice-Particles — Sublimation ............ 66 5.7 Clouds in the Sky: Types and Classification ................... 68 5.8 From Cloud to Rain ....................................... 68 5.8.1 Hydrodynamical Attraction ......................... 69 5.8.2 Electrical Attraction ............................... 72 5.8.3 Collision Due to Turbulence ........................ 72 5.8.4 Differences in Size of Cloud Particles ................. 73 5.8.5 Differences of Temperature Between Cloud Elements ... 73 5.8.6 The Ice-Crystal Effect .............................. 74 5.9 Meteorological Evidence - Rainfall from Cold and Warm Clouds . 75 5.9.1 Rainfall from Warm Clouds ......................... 76 5.10 Climatological Rainfall Distribution over the Globe ............. 76 Physics of Radiation - Fundamental Laws ........................ 79 6.1 Introduction - the Nature of Thermal Radiation ................ 79 6.2 Radiation and Absorption - Heat Exchanges ................... 79 6.2.1 Conduction ....................................... 79 6.2.2 Convection ....................................... 79 6.2.3 Radiation ........................................ 80 6.3 Properties of Radiation ..................................... 81 6.4 Laws of Radiation - Emission and Absorption ................. 82 6.4.1 Kirchhoff s Law .................................. 82 6.4.2 Laws of Black Body and Gray Radiation .............. 83 6.4.3 Stefan-Boltzmann Law ............................. 84 6.4.4 Wien s Displacement Law .......................... 84 6.4.5 Planck s Law of Black Body Radiation ............... 84 6.4.6 Derivation of Wien s Law and Stefan-Boltzmann Law from Planck s Law ................................ 85 6.5 Spectral Distribution of Radiant Energy ....................... 86 6.6 Some Practical Uses of Electromagnetic Radiation ............. 88 The Sun and its Radiation ....................................... 89 7.1 Introduction .............................................. 89 7.2 Physical Characteristics of the Sun ........................... 90 7.3 Structure of the Sun - its Interior ............................ 90 7.3.1 The Core - Nuclear Reactions ....................... 91 7.3.2 The Radiative Layer ............................... 92 7.3.3 The Convective Layer .............................. 93 7.4 The Photosphere .......................................... 94 7.4.1 Sunspots ......................................... 95 7.5 The Solar Atmosphere ..................................... 95 7.5.1 The Reversing Layer ............................... 96 7.5.2 The Chromosphere ................................ 96 7.5.3 The Corona ...................................... 96 7.6 The Solar Wind ........................................... 97 7.7 The Search for Neutrinos ................................... 98 The Incoming Solar Radiation - Interaction with the Earth s Atmosphere and Surface ........................................ 99 8.1 Introduction - the Solar Spectrum ........................... 99 8.2 Interactions with the Upper Atmosphere (Above 80 km) .........100 8.2.1 Interaction with the Solar Wind: Polar Auroras and Magnetic Storms ..............................100 8.2.2 Interaction with the Solar Ultraviolet Radiation ........102 8.3 The Mésosphère (50-80 km Layer) ..........................102 8.4 Interaction with Ozone: the Ozonosphère (20-50 km) ...........102 8.4.1 Formation of Ozone ...............................103 8.4.2 Destruction of Ozone: the Ozone Hole ................103 8.4.3 Warming of the Stratosphere ........................104 8.4.4 Latitudinal and Seasonal Variation of Ozone ...........104 8.4.5 Ozone and Weather ................................105 8.5 Scattering, Reflection and Absorption of Solar Radiation in the Atmosphere .........................................107 8.5.1 Scattering and Reflection ...........................107 8.5.2 Atmospheric Absorption ............................107 8.6 Incoming Solar Radiation (Insolation) at the Earth s Surface .....108 8.6.1 The Solar Constant ................................108 8.6.2 The Transparency of the Atmosphere — Effects of Clouds and Aerosols ...............................109 8.6.3 Distribution of Solar Radiation with Latitude — The Seasonal Cycle ....................................109 8.6.4 Seasonal and Latitudinal Variations of Surface Temperature ......................................110 8.6.5 Diurnal Variation of Radiation with Clear and Cloudy Skies ............................................ Ill 8.7 Reflection of Solar Radiation at the Earth s Surface - The Albedo .113 9 Heat Balance of the Earth s Surface - Upward and Downward Transfer of Heat ...............................................115 9.1 Introduction: General Considerations .........................115 9.2 Heat Balance on a Planet Without an Atmosphere ..............116 9.3 Heat Balance on a Planet with an Atmosphere: The Greenhouse Effect ...................................................117 9.3.1 The Greenhouse Effect .............................118 9.4 Vertical Transfer of Radiative Heating - Diurnal Temperature Wave ....................................................119 9.5 Sensible Heat Flux ........................................120 9.5.1 Vertical Transfer of Sensible Heat into the Atmosphere .. 120 9.6 Evaporation and Evaporative Heat Flux from a Surface ..........123 9.6.1 Bowen s Ratio ....................................124 9.6.2 Evaporative Cooling ...............................124 9.7 Exchange of Heat Between the Earth s Surface and the Underground Soil ..................................125 9.7.1 Amplitude and Range ..............................126 9.7.2 Time Lag ........................................126 9.7.3 Velocity .........................................127 9.7.4 Wavelength .......................................127 9.7.5 Diurnal Wave .....................................127 9.7.6 Annual Wave .....................................128 9.8 Radiative Heat Flux into the Ocean ..........................129 9.8.1 General Properties of Ocean Water ...................129 9.8.2 Optical Properties of Ocean Water - Reflection and Refraction ....................................131 9.8.3 Absorption and Downward Penetration of Solar Radiation in the Ocean .............................132 9.8.4 Vertical Distribution of Temperature in the Ocean ......133 9.9 The Thermohaline Circulation - Buoyancy Flux ...............134 9.10 Photosynthesis in the Ocean: Chemical and Biological Processes . 135 10 Heat Balance of the Earth-Atmosphere System - Heat Sources and Sinks .........................................................137 10.1 Introduction - definition of heat sources and sinks ..............137 10.2 Physical Processes Involved in Heat Balance ..................138 10.3 Simpson s Computation of Heat Budget ......................139 10.4 Heat Balance from Satellite Radiation Data ...................141 10.5 Heat Sources and Sinks from the Energy Balance Equation ......145 10.6 Computation of Atmospheric Heating from Mass Continuity Equation .................................................149 Part II Dynamics of the Earth s Atmosphere - The General Circulation 11 Winds on a Rotating Earth - The Dynamical Equations and the Conservation Laws .............................................155 11.1 Introduction ..............................................155 11.2 Forces Acting on a Parcel of Air .............................156 11.2.1 Pressure Gradient Force ............................156 11.2.2 Gravity Force .....................................157 11.2.3 Force of Friction or Viscosity .......................157 11.3 Acceleration of Absolute Motion ............................158 11.4 Acceleration of Relative Motion .............................159 11.4.1 Coriolis Force ....................................161 11.5 The Equations of Motion in a Rectangular Co-ordinate System ... 162 11.6 A System of Generalized Vertical Co-ordinates ................162 11.7 The Equations of Motion in Spherical Co-ordinate System .......164 11.8 The Equation of Continuity .................................167 11.9 The Thermodynamic Energy Equation ........................168 11.10 Scale Analysis and Simplification of the Equations of Motion ___169 11.10.1 The Geostrophic Approximation and the Geostrophic Wind ............................................170 11.10.2 Scale Analysis of the Vertical Momentum Equation .....171 12 Simplified Equations of Motion - Quasi-Balanced Winds ...........173 12.1 Introduction ..............................................173 12.2 The Basic Equations in Isobaric Co-ordinates ..................173 12.2.1 Horizontal Momentum Equations ....................173 12.2.2 The Continuity Equation ...........................174 12.2.3 The Thermodynamic Energy Equation ................174 12.3 Balanced Flow in Natural Co-ordinates .......................175 12.3.1 Velocity and Acceleration in Natural Co-ordinate System 175 12.3.2 The Gradient Wind ................................176 12.3.3 The Geostrophic Wind .............................177 12.3.4 Relationship Between the Geostrophic Wind and the Gradient Wind .............................178 12.3.5 Inerţial Motion ....................................178 12.3.6 Cyclostrophic Motion ..............................179 12.4 Trajectories and Streamlines ................................180 12.5 Streamline-Isotach Analysis ................................182 12.6 Variation of Wind with Height - The Thermal Wind ............183 13 Circulation, Vorticity and Divergence ............................187 13.1 Definitions and Concepts - Circulation and Vorticity ............187 13.2 The Circulation Theorem ...................................188 13.3 Absolute and Relative Vorticity ..............................191 13.4 Vorticity and Divergence in Natural Co-ordinates ...............191 13.5 Potential Vorticity .........................................193 13.6 The Vorticity Equation in Frictionless Adiabatic Flow ...........196 13.7 The Vorticity Equation from the Equations of Motion ...........196 13.7.1 Vorticity Equation in Cartesian Co-ordinates (x, y, z) ___196 13.7.2 The Vorticity Equation in Isobaric Co-ordinates ........198 13.8 Circulation and Vorticity in the Real Atmosphere (In Three Dimensions) .....................................199 13.9 Vertical Motion in the Atmosphere ...........................200 13.9.1 The kinematic Method .............................200 13.9.2 The Adiabatic Method .............................201 13.9.3 The Vorticity Method ..............................201 13.10 Differential Properties of a Wind Field .......................202 13.10.1 Translation, (uo,vo) ................................203 13.10.2 Divergence, Expansion (D) .........................203 13.10.3 Deformation ......................................204 13.10.4 Rotation .........................................205 13.11 Types of Wind Fields - Graphical Representation ..............205 14 The Boundary Layers of the Atmosphere and the Ocean ............207 14.1 Introduction ..............................................207 14.2 The Equations of Turbulent Motion in the Atmosphere ..........208 14.3 The Mixing-Length Hypothesis - Exchange Co-efficients ........211 14.4 The Vertical Structure of the Frictionally-Controlled Boundary Layer ...................................................212 14.4.1 The Surface Layer .................................212 14.4.2 The Ekman or Transition Layer ......................214 14.5 The Secondary Circulation - The Spin-Down Effect ............217 14.5.1 The Nocturnal Jet .................................220 14.5.2 Turbulent Diffusion and Dispersion in the Atmosphere .. 221 14.6 The Boundary Layer of the Ocean — Ekman Drift and Mass Transport .......................................222 14.7 Ekman Pumping and Coastal Upwelling in the Ocean ...........224 15 Waves and Oscillations in the Atmosphere and the Ocean ...........227 15.1 Introduction ..............................................227 15.2 The Simple Pendulum .....................................228 15.3 Representation of Waves by Fourier Series ....................229 15.4 Dispersion of Waves and Group Velocity ......................230 15.5 The Perturbation Technique .................................231 15.6 Simple Wave Types .......................................232 15.7 Internal Gravity (or Buoyancy) Waves in the Atmosphere ........239 15.7.1 Internal Gravity (Buoyancy) Waves - General Considerations ....................................240 15.7.2 Mountain Lee Waves ...............................244 15.8 Dynamics of Shallow Water Gravity Waves ...................244 15.8.1 The Adjustment Problem - Shallow Water Equations in a Rotating Frame ................................245 15.8.2 The Steady-State Solution: Geostrophic Adjustment ___246 15.8.3 Energy Transformations ............................247 15.8.4 Transient Oscillations - Poicaré Waves ...............250 15.8.5 Importance of the Rossby Radius of Deformation .......251 16 Equatorial Waves and Oscillations ...............................253 16.1 Introduction ..............................................253 16.2 The Governing Equations in Log-Pressure Co-ordinate System ... 254 16.2.1 The Horizontal Momentum Equations ................254 16.2.2 The Hydrostatic Equation ...........................255 16.2.3 The Continuity Equation ...........................255 16.2.4 The Thermodynamic Energy Equation ................255 16.3 The Kelvin Wave .........................................255 16.4 The Mixed Rossby-Gravity Wave ............................257 16.5 Observational Evidence ....................................259 16.6 The Quasi-Biennial Oscillation (QBO) .......................260 16.7 The Madden-Julian Oscillation (MJO) ........................262 16.8 El Niño-Southern Oscillation (ENSO) ........................266 16.8.1 Introduction ......................................266 16.8.2 EiNiño/LaNiña ..................................266 16.8.3 Southern Oscillation (SO) ..........................268 16.8.4 The Walker Circulation - ENSO .....................270 16.8.5 Evidence of Walker Circulation in Global Data .........270 16.8.6 Mechanism of ENSO? .............................271 17 Dynamical Models and Numerical Weather Prediction (N.W.P.) .....275 17.1 Introduction - Historical Background ........................275 17.2 The Filtering of Sound and Gravity Waves ....................276 17.3 Quasi-Geostrophic Models .................................278 17.4 Nondivergent Models ......................................279 17.5 Hierarchy of Simplified Models .............................282 17.5.1 One-Parameter Barotropic Model ....................282 17.5.2 A Two-Parameter Baroclinic Model ..................282 17.6 Primitive Equation Models .................................284 17.6.1 PE Model in Sigma Co-ordinates ....................285 17.6.2 A Two-Level Primitive Equation Model ...............288 17.6.3 Computational Procedure ...........................289 17.7 Present Status of NWP .....................................290 18 Dynamical Instability of Atmospheric Flows - Energetics and Energy Conversions ............................................293 18.1 Introduction ..............................................293 18.2 Inerţial Instability .........................................294 18.3 Baroclinic Instability ......................................295 18.3.1 The Model .......................................295 18.3.2 Special Cases of Baroclinic Instability ................297 18.3.3 The Stability Criterion - Neutral Curve ...............298 18.4 Vertical Motion in Baroclinically Unstable Waves ..............300 18.5 Energetics and Energy Conversions in Baroclinic Instability .....302 18.5.1 Definitions .......................................302 18.5.2 Energy Equations for the Two-Level Quasi- Geostrophic Model ................................304 18.6 Barotropic Instability ......................................306 18.7 Conditional Instability of the Second Kind (CISK) .............308 19 The General Circulation of the Atmosphere .......................311 19.1 Introduction — Historical Background ........................311 19.2 Zonally-Averaged Mean Temperature and Wind Fields Over the Globe ...................................................313 19.2.1 Longitudinally-Averaged Mean Temperature and Wind Fields in Vertical Sections ..........................313 19.2.2 Idealized Pressure and Wind Fields at Surface Over the Globe in the Three-Cell Model ..............316 19.3 Observed Distributions of Mean Winds and Circulations Over the Globe ................................................317 19.4 Maintenance of the Kinetic Energy and Angular Momentum .....319 19.4.1 The Kinetic Energy Balance of the Atmosphere ........319 19.4.2 The Angular Momentum Balance - Maintenance of the Zonal Circulation ............................320 19.5 Eddy-Transports ..........................................324 19.5.1 Eddy Flux of Sensible Heat .........................324 19.5.2 Eddy-Flux of Angular Momentum ...................324 19.5.3 Eddy-Flux of Water Vapour .........................326 19.5.4 Vertical Eddy-Transports ...........................327 19.6 Laboratory Simulation of the General Circulation ..............327 19.7 Numerical Experiment on the General Circulation ..............331 Appendices ........................................................333 Appendix- 1 (A) Vector Analysis-Some Important Vector Relations ......333 1.1 The Concept of a Vector ....................................333 1.2 Addition and Subtraction of Vectors: Multiplication of a Vector by a Scalar .....................................334 1.3 Multiplication of Vectors ...................................335 1.4 Differentiation of Vectors: Application to the Theory of Space Curves ..................................................337 1.5 Space Derivative of a Scalar Quantity. The Concept of a Gradient Vector ...................................................338 1.6 Del Operator, V ...........................................339 1.7 Use of Del Operator in Different Co-ordinate Systems ..........340 1.7.1 Cartesian Co-ordinates (x, y, z) ......................340 1.7.2 Spherical Co-ordinates (λ, φ, r) .....................340 Appendix-l(B) Motion Under Earth s Gravitational Force .............341 Appendix-2 Adiabatic Propagation of Sound Waves ..................342 Appendix-3 Some Selected Thermodynamic Diagrams ................343. Appendix-4 Derivation of the Equation for Saturation Vapour Pressure Curve Taking into Account the Temperature Dependence of the Specific Heats (After Joos, 1967)............................344 Appendix-5 Theoretical Derivation of Kelvin s Vapour Pressure Relation for er/es.........................................346 Appendix-6 Values of Thermal Conductivity Constants for a Few Materials, Drawn from Sources, Including International Critical Tables (1927), Smithsonian Physical Tables (1934), Landholt-Bornstein (1923-1936), McAdams (1942) and others 348 Appendix-7 Physical Units and Dimensions .........................349 Appendix-8 Some Useful Physical Constants and Parameters ...........350 References .........................................................353 Author Index ......................................................359 Subject Index ......................................................363
adam_txt Contents Part I Physics of the Earth's Atmosphere 1 The Sun and the Earth - The Solar System and the Earth's Gravitation . 3 1.1 Introduction . 3 1.2 Earth's Gravitational Force - Gravity . 4 1.3 Geopotential Surfaces . 6 1.4 Motion in the Earth's Gravitational Field - The Law of Central Forces . 6 2 The Earth's Atmosphere - Its Origin, Composition and Properties . 9 2.1 Introduction: Origin of the Earth's Atmosphere . 9 2.2 Composition of the Atmosphere . 10 2.3 Properties and Variables of the Atmosphere . 12 2.3.1 Pressure . 12. 2.3.2 Temperature . 15 2.3.3 Density . 21 2.3.4 Other Variables of the Atmosphere . 22 2.3.5 Observing the Atmosphere . 22 2.4 Gas Laws - Equations of State . 23 2.4.1 The Equation of State - General . 23 2.4.2 The Equation of State of an Ideal Gas . 24 2.4.3 The Equation of State of a Mixture of Gases . 26 2.4.4 The Equation of State of a Real Gas . 26 3 Heat and Thermodynamics of the Atmosphere . 27 3.1 Introduction. The Nature of Heat and Kinetic Theory . 27 3.2 The First Law of Thermodynamics . 27 3.3 Specific Heats of Gases . 28 3.4 Adiabatic Changes in the Atmosphere . 30 3.4.1 Adiabatic Relationship Between Pressure, Temperature and Volume . 30 3.4.2 Potential Temperature . 30 3.4.3 Dry Adiabatic Lapse Rate of Temperature with Height . 31 3.4.4 Static Stability of Dry Air - Buoyancy Oscillations . 31 3.4.5 Adiabatic Propagation of Sound Waves . 33 3.5 The Concept of Entropy . 33 3.6 The Second Law of Thermodynamics . 36 3.6.1 Carnot Engine . 36 3.6.2 Statement of the Second Law of Thermodynamics . 38 3.7 Thermodynamic Equilibrium of Systems: Thermodynamic Potentials . 40 3.7.1 Free Energy or Helmholtz Potential . 40 3.7.2 Free Enthalpy, or Gibbs' Potential, or Gibbs Free Energy 41 3.8 The Third Law of Thermodynamics . 41 3.9 The Atmosphere as a Heat Engine . 42 Water Vapour in the Atmosphere: Thermodynamics of Moist Air . 43 4.1 Introduction . 43 4.2 Humidity of the Air - Definitions . 44 4.3 Density of Moist Air - Virtual Temperature . 45 4.4 Measurement of Humidity — Hygrometers/Psychrometers . 46 4.5 Ascent of Moist Air in the Atmosphere - Pseudo- Adiabatic Process 48 4.6 Saturated Adiabatic Lapse Rate of Temperature . 50 4.7 Equivalent Potential Temperature . 50 4.8 Variation of Saturation Vapour Pressure with Temperature . 51 4.8.1 The Clausius-Clapeyron Equation . 51 4.8.2 Melting Point of Ice - Variation with Pressure . 53 4.9 Co-existence of the Three Phases of Water - the Triple Point . 53 4.10 Stability of Moist Air . 55 4.10.1 Thermodynamic Diagrams . 56 Physics of Cloud and Precipitation . 59 5.1 Introduction - Historical Perspective . 59 5.2 Cloud-Making in the Laboratory - Condensation Nuclei . 60 5.3 Atmospheric Nuclei - Cloud Formation in the Atmosphere . 62 5.4 Drop-Size Distribution in Clouds . 64 5.5 Rate of Fall of Cloud and Rain Drops . 65 5.6 Supercooled Clouds and Ice-Particles — Sublimation . 66 5.7 Clouds in the Sky: Types and Classification . 68 5.8 From Cloud to Rain . 68 5.8.1 Hydrodynamical Attraction . 69 5.8.2 Electrical Attraction . 72 5.8.3 Collision Due to Turbulence . 72 5.8.4 Differences in Size of Cloud Particles . 73 5.8.5 Differences of Temperature Between Cloud Elements . 73 5.8.6 The Ice-Crystal Effect . 74 5.9 Meteorological Evidence - Rainfall from Cold and Warm Clouds . 75 5.9.1 Rainfall from Warm Clouds . 76 5.10 Climatological Rainfall Distribution over the Globe . 76 Physics of Radiation - Fundamental Laws . 79 6.1 Introduction - the Nature of Thermal Radiation . 79 6.2 Radiation and Absorption - Heat Exchanges . 79 6.2.1 Conduction . 79 6.2.2 Convection . 79 6.2.3 Radiation . 80 6.3 Properties of Radiation . 81 6.4 Laws of Radiation - Emission and Absorption . 82 6.4.1 Kirchhoff 's Law . 82 6.4.2 Laws of Black Body and Gray Radiation . 83 6.4.3 Stefan-Boltzmann Law . 84 6.4.4 Wien's Displacement Law . 84 6.4.5 Planck's Law of Black Body Radiation . 84 6.4.6 Derivation of Wien's Law and Stefan-Boltzmann Law from Planck's Law . 85 6.5 Spectral Distribution of Radiant Energy . 86 6.6 Some Practical Uses of Electromagnetic Radiation . 88 The Sun and its Radiation . 89 7.1 Introduction . 89 7.2 Physical Characteristics of the Sun . 90 7.3 Structure of the Sun - its Interior . 90 7.3.1 The Core - Nuclear Reactions . 91 7.3.2 The Radiative Layer . 92 7.3.3 The Convective Layer . 93 7.4 The Photosphere . 94 7.4.1 Sunspots . 95 7.5 The Solar Atmosphere . 95 7.5.1 The Reversing Layer . 96 7.5.2 The Chromosphere . 96 7.5.3 The Corona . 96 7.6 The Solar Wind . 97 7.7 The Search for Neutrinos . 98 The Incoming Solar Radiation - Interaction with the Earth's Atmosphere and Surface . 99 8.1 Introduction - the Solar Spectrum . 99 8.2 Interactions with the Upper Atmosphere (Above 80 km) .100 8.2.1 Interaction with the Solar Wind: Polar Auroras and Magnetic Storms .100 8.2.2 Interaction with the Solar Ultraviolet Radiation .102 8.3 The Mésosphère (50-80 km Layer) .102 8.4 Interaction with Ozone: the Ozonosphère (20-50 km) .102 8.4.1 Formation of Ozone .103 8.4.2 Destruction of Ozone: the Ozone Hole .103 8.4.3 Warming of the Stratosphere .104 8.4.4 Latitudinal and Seasonal Variation of Ozone .104 8.4.5 Ozone and Weather .105 8.5 Scattering, Reflection and Absorption of Solar Radiation in the Atmosphere .107 8.5.1 Scattering and Reflection .107 8.5.2 Atmospheric Absorption .107 8.6 Incoming Solar Radiation (Insolation) at the Earth's Surface .108 8.6.1 The Solar Constant .108 8.6.2 The Transparency of the Atmosphere — Effects of Clouds and Aerosols .109 8.6.3 Distribution of Solar Radiation with Latitude — The Seasonal Cycle .109 8.6.4 Seasonal and Latitudinal Variations of Surface Temperature .110 8.6.5 Diurnal Variation of Radiation with Clear and Cloudy Skies . Ill 8.7 Reflection of Solar Radiation at the Earth's Surface - The Albedo .113 9 Heat Balance of the Earth's Surface - Upward and Downward Transfer of Heat .115 9.1 Introduction: General Considerations .115 9.2 Heat Balance on a Planet Without an Atmosphere .116 9.3 Heat Balance on a Planet with an Atmosphere: The Greenhouse Effect .117 9.3.1 The Greenhouse Effect .118 9.4 Vertical Transfer of Radiative Heating - Diurnal Temperature Wave .119 9.5 Sensible Heat Flux .120 9.5.1 Vertical Transfer of Sensible Heat into the Atmosphere . 120 9.6 Evaporation and Evaporative Heat Flux from a Surface .123 9.6.1 Bowen's Ratio .124 9.6.2 Evaporative Cooling .124 9.7 Exchange of Heat Between the Earth's Surface and the Underground Soil .125 9.7.1 Amplitude and Range .126 9.7.2 Time Lag .126 9.7.3 Velocity .127 9.7.4 Wavelength .127 9.7.5 Diurnal Wave .127 9.7.6 Annual Wave .128 9.8 Radiative Heat Flux into the Ocean .129 9.8.1 General Properties of Ocean Water .129 9.8.2 Optical Properties of Ocean Water - Reflection and Refraction .131 9.8.3 Absorption and Downward Penetration of Solar Radiation in the Ocean .132 9.8.4 Vertical Distribution of Temperature in the Ocean .133 9.9 The Thermohaline Circulation - Buoyancy Flux .134 9.10 Photosynthesis in the Ocean: Chemical and Biological Processes . 135 10 Heat Balance of the Earth-Atmosphere System - Heat Sources and Sinks .137 10.1 Introduction - definition of heat sources and sinks .137 10.2 Physical Processes Involved in Heat Balance .138 10.3 Simpson's Computation of Heat Budget .139 10.4 Heat Balance from Satellite Radiation Data .141 10.5 Heat Sources and Sinks from the Energy Balance Equation .145 10.6 Computation of Atmospheric Heating from Mass Continuity Equation .149 Part II Dynamics of the Earth's Atmosphere - The General Circulation 11 Winds on a Rotating Earth - The Dynamical Equations and the Conservation Laws .155 11.1 Introduction .155 11.2 Forces Acting on a Parcel of Air .156 11.2.1 Pressure Gradient Force .156 11.2.2 Gravity Force .157 11.2.3 Force of Friction or Viscosity .157 11.3 Acceleration of Absolute Motion .158 11.4 Acceleration of Relative Motion .159 11.4.1 Coriolis Force .161 11.5 The Equations of Motion in a Rectangular Co-ordinate System . 162 11.6 A System of Generalized Vertical Co-ordinates .162 11.7 The Equations of Motion in Spherical Co-ordinate System .164 11.8 The Equation of Continuity .167 11.9 The Thermodynamic Energy Equation .168 11.10 Scale Analysis and Simplification of the Equations of Motion _169 11.10.1 The Geostrophic Approximation and the Geostrophic Wind .170 11.10.2 Scale Analysis of the Vertical Momentum Equation .171 12 Simplified Equations of Motion - Quasi-Balanced Winds .173 12.1 Introduction .173 12.2 The Basic Equations in Isobaric Co-ordinates .173 12.2.1 Horizontal Momentum Equations .173 12.2.2 The Continuity Equation .174 12.2.3 The Thermodynamic Energy Equation .174 12.3 Balanced Flow in Natural Co-ordinates .175 12.3.1 Velocity and Acceleration in Natural Co-ordinate System 175 12.3.2 The Gradient Wind .176 12.3.3 The Geostrophic Wind .177 12.3.4 Relationship Between the Geostrophic Wind and the Gradient Wind .178 12.3.5 Inerţial Motion .178 12.3.6 Cyclostrophic Motion .179 12.4 Trajectories and Streamlines .180 12.5 Streamline-Isotach Analysis .182 12.6 Variation of Wind with Height - The Thermal Wind .183 13 Circulation, Vorticity and Divergence .187 13.1 Definitions and Concepts - Circulation and Vorticity .187 13.2 The Circulation Theorem .188 13.3 Absolute and Relative Vorticity .191 13.4 Vorticity and Divergence in Natural Co-ordinates .191 13.5 Potential Vorticity .193 13.6 The Vorticity Equation in Frictionless Adiabatic Flow .196 13.7 The Vorticity Equation from the Equations of Motion .196 13.7.1 Vorticity Equation in Cartesian Co-ordinates (x, y, z) _196 13.7.2 The Vorticity Equation in Isobaric Co-ordinates .198 13.8 Circulation and Vorticity in the Real Atmosphere (In Three Dimensions) .199 13.9 Vertical Motion in the Atmosphere .200 13.9.1 The kinematic Method .200 13.9.2 The Adiabatic Method .201 13.9.3 The Vorticity Method .201 13.10 Differential Properties of a Wind Field .202 13.10.1 Translation, (uo,vo) .203 13.10.2 Divergence, Expansion (D) .203 13.10.3 Deformation .204 13.10.4 Rotation .205 13.11 Types of Wind Fields - Graphical Representation .205 14 The Boundary Layers of the Atmosphere and the Ocean .207 14.1 Introduction .207 14.2 The Equations of Turbulent Motion in the Atmosphere .208 14.3 The Mixing-Length Hypothesis - Exchange Co-efficients .211 14.4 The Vertical Structure of the Frictionally-Controlled Boundary Layer .212 14.4.1 The Surface Layer .212 14.4.2 The Ekman or Transition Layer .214 14.5 The Secondary Circulation - The Spin-Down Effect .217 14.5.1 The Nocturnal Jet .220 14.5.2 Turbulent Diffusion and Dispersion in the Atmosphere . 221 14.6 The Boundary Layer of the Ocean — Ekman Drift and Mass Transport .222 14.7 Ekman Pumping and Coastal Upwelling in the Ocean .224 15 Waves and Oscillations in the Atmosphere and the Ocean .227 15.1 Introduction .227 15.2 The Simple Pendulum .228 15.3 Representation of Waves by Fourier Series .229 15.4 Dispersion of Waves and Group Velocity .230 15.5 The Perturbation Technique .231 15.6 Simple Wave Types .232 15.7 Internal Gravity (or Buoyancy) Waves in the Atmosphere .239 15.7.1 Internal Gravity (Buoyancy) Waves - General Considerations .240 15.7.2 Mountain Lee Waves .244 15.8 Dynamics of Shallow Water Gravity Waves .244 15.8.1 The Adjustment Problem - Shallow Water Equations in a Rotating Frame .245 15.8.2 The Steady-State Solution: Geostrophic Adjustment _246 15.8.3 Energy Transformations .247 15.8.4 Transient Oscillations - Poicaré Waves .250 15.8.5 Importance of the Rossby Radius of Deformation .251 16 Equatorial Waves and Oscillations .253 16.1 Introduction .253 16.2 The Governing Equations in Log-Pressure Co-ordinate System . 254 16.2.1 The Horizontal Momentum Equations .254 16.2.2 The Hydrostatic Equation .255 16.2.3 The Continuity Equation .255 16.2.4 The Thermodynamic Energy Equation .255 16.3 The Kelvin Wave .255 16.4 The Mixed Rossby-Gravity Wave .257 16.5 Observational Evidence .259 16.6 The Quasi-Biennial Oscillation (QBO) .260 16.7 The Madden-Julian Oscillation (MJO) .262 16.8 El Niño-Southern Oscillation (ENSO) .266 16.8.1 Introduction .266 16.8.2 EiNiño/LaNiña .266 16.8.3 Southern Oscillation (SO) .268 16.8.4 The Walker Circulation - ENSO .270 16.8.5 Evidence of Walker Circulation in Global Data .270 16.8.6 Mechanism of ENSO? .271 17 Dynamical Models and Numerical Weather Prediction (N.W.P.) .275 17.1 Introduction - Historical Background .275 17.2 The Filtering of Sound and Gravity Waves .276 17.3 Quasi-Geostrophic Models .278 17.4 Nondivergent Models .279 17.5 Hierarchy of Simplified Models .282 17.5.1 One-Parameter Barotropic Model .282 17.5.2 A Two-Parameter Baroclinic Model .282 17.6 Primitive Equation Models .284 17.6.1 PE Model in Sigma Co-ordinates .285 17.6.2 A Two-Level Primitive Equation Model .288 17.6.3 Computational Procedure .289 17.7 Present Status of NWP .290 18 Dynamical Instability of Atmospheric Flows - Energetics and Energy Conversions .293 18.1 Introduction .293 18.2 Inerţial Instability .294 18.3 Baroclinic Instability .295 18.3.1 The Model .295 18.3.2 Special Cases of Baroclinic Instability .297 18.3.3 The Stability Criterion - Neutral Curve .298 18.4 Vertical Motion in Baroclinically Unstable Waves .300 18.5 Energetics and Energy Conversions in Baroclinic Instability .302 18.5.1 Definitions .302 18.5.2 Energy Equations for the Two-Level Quasi- Geostrophic Model .304 18.6 Barotropic Instability .306 18.7 Conditional Instability of the Second Kind (CISK) .308 19 The General Circulation of the Atmosphere .311 19.1 Introduction — Historical Background .311 19.2 Zonally-Averaged Mean Temperature and Wind Fields Over the Globe .313 19.2.1 Longitudinally-Averaged Mean Temperature and Wind Fields in Vertical Sections .313 19.2.2 Idealized Pressure and Wind Fields at Surface Over the Globe in the Three-Cell Model .316 19.3 Observed Distributions of Mean Winds and Circulations Over the Globe .317 19.4 Maintenance of the Kinetic Energy and Angular Momentum .319 19.4.1 The Kinetic Energy Balance of the Atmosphere .319 19.4.2 The Angular Momentum Balance - Maintenance of the Zonal Circulation .320 19.5 Eddy-Transports .324 19.5.1 Eddy Flux of Sensible Heat .324 19.5.2 Eddy-Flux of Angular Momentum .324 19.5.3 Eddy-Flux of Water Vapour .326 19.5.4 Vertical Eddy-Transports .327 19.6 Laboratory Simulation of the General Circulation .327 19.7 Numerical Experiment on the General Circulation .331 Appendices .333 Appendix- 1 (A) Vector Analysis-Some Important Vector Relations .333 1.1 The Concept of a Vector .333 1.2 Addition and Subtraction of Vectors: Multiplication of a Vector by a Scalar .334 1.3 Multiplication of Vectors .335 1.4 Differentiation of Vectors: Application to the Theory of Space Curves .337 1.5 Space Derivative of a Scalar Quantity. The Concept of a Gradient Vector .338 1.6 Del Operator, V .339 1.7 Use of Del Operator in Different Co-ordinate Systems .340 1.7.1 Cartesian Co-ordinates (x, y, z) .340 1.7.2 Spherical Co-ordinates (λ, φ, r) .340 Appendix-l(B) Motion Under Earth's Gravitational Force .341 Appendix-2 Adiabatic Propagation of Sound Waves .342 Appendix-3 Some Selected Thermodynamic Diagrams .343. Appendix-4 Derivation of the Equation for Saturation Vapour Pressure Curve Taking into Account the Temperature Dependence of the Specific Heats (After Joos, 1967).344 Appendix-5 Theoretical Derivation of Kelvin's Vapour Pressure Relation for er/es.346 Appendix-6 Values of Thermal Conductivity Constants for a Few Materials, Drawn from Sources, Including 'International Critical Tables'(1927), 'Smithsonian Physical Tables' (1934), 'Landholt-Bornstein' (1923-1936), 'McAdams' (1942) and others 348 Appendix-7 Physical Units and Dimensions .349 Appendix-8 Some Useful Physical Constants and Parameters .350 References .353 Author Index .359 Subject Index .363
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The earth's atmosphere its physics and dynamics Kshudiram Saha
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XXI, 367 S. Ill., graph. Darst.
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spellingShingle Saha, Kshudiram 1918-
The earth's atmosphere its physics and dynamics
Dynamik (DE-588)4013384-9 gnd
Atmosphäre (DE-588)4003397-1 gnd
Physik (DE-588)4045956-1 gnd
subject_GND (DE-588)4013384-9
(DE-588)4003397-1
(DE-588)4045956-1
title The earth's atmosphere its physics and dynamics
title_auth The earth's atmosphere its physics and dynamics
title_exact_search The earth's atmosphere its physics and dynamics
title_exact_search_txtP ˜Theœ earth's atmosphere its physics and dynamics
title_full The earth's atmosphere its physics and dynamics Kshudiram Saha
title_fullStr The earth's atmosphere its physics and dynamics Kshudiram Saha
title_full_unstemmed The earth's atmosphere its physics and dynamics Kshudiram Saha
title_short The earth's atmosphere
title_sort the earth s atmosphere its physics and dynamics
title_sub its physics and dynamics
topic Dynamik (DE-588)4013384-9 gnd
Atmosphäre (DE-588)4003397-1 gnd
Physik (DE-588)4045956-1 gnd
topic_facet Dynamik
Atmosphäre
Physik
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016411004&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT sahakshudiram theearthsatmosphereitsphysicsanddynamics