The physics of the earth's core: an introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Pergamon Press
1986
|
| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 256 S. graph. Darst., Kt. |
| ISBN: | 0080326072 0080326064 |
Staff View
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| 245 | 1 | 0 | |a The physics of the earth's core |b an introduction |c by Paul Melchior |
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Record in the Search Index
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| adam_text | Titel: The physics of the earth s core
Autor: Melchior, Paul
Jahr: 1986
Contents
Introduction 1
Bibliography 4
Additional references 5
1 THE MODEL OF THE EARTH 6
/./ Shape and dimensions of the model 6
1.2 The rotation of the model of the Earth 9
1.3 Gravity and pressure inside ¡he Earth 19
1.4 Seismological model for the internal structure of the Earth 21
1.5 Stratification of the liquid core 33
1.6 Topography of the core—mantle interface 38
Bibliography 41
2 THERMODYNAMICS 44
2.1 Fundamental thermodynamic relations 44
2.2 Definitions of fundamental thermodynamic parameters 46
2.3 Adiabatic gradient of temperature 47
2.4 The Wiedemann-Franz law 48
2.5 Measurements of electrical conductivity 49
2.6 The Grüneisen parameter 52
2.7 Introduction of the Grüneisen parameter in fundamental relations 56
2.8 The Clausius Clapeyron Equation 57
2.9 Lindemann s law of fusion 59
2.10 Chemical constitution of the liquid core 60
2.11 The temperature profile inside the Earth 63
2.12 Two core paradoxes 67
2.13 Transport properties —diffusivity and conductivity 68
2.14 Heat flow from the core 70
2.15 Viscosity 74
2.16 Diffusion in a medium composed by two substances: Onsager relations 78
Bibliography 81
3 HYDRODYNAMICS 84
3.1 Lagrangian and Eulerian descriptions 84
3.2 Equations of conservation 86
3.3 Dimensionkss characteristic numbers in hydrodynamics 92
3.4 Helmholtz equation 95
3.5 Geostrophic flow, Taylor columns 95
3.6 Classical approximations 99
3.7 Differential equations of the perturbed pressure in a rotating spheroid 102
3.8 Boundary condition for the reduced pressure 109
3.9 Solution of the Poincarè equation by separation of variables 109
3.10 Greenspan equation in cylindrical coordinates 111
3.11 ? Poincarè equation for the velocity field 112
3.12 Stratified fluids, internal gravity waves 113
3.13 Turbulence in hydrodynamics 121
vi Contents
3.14 The boundary layers in hydrodynamics 126
3.15 Rotating fluid - elementary properties of the viscous
Ekman boundary layer 132
3.16 The rotating vertical cylinder: Stewartson sidewall boundary layers 136
3.17 Spin-up, Ekman suction 139
3.18 Thermal instability—the Rayleigh number 140
3.19 An application of Navier equation and boundary layer theory to the
problem of differential rotation speed of the core and mantle of the Earth 142
Bibliography 149
4 GEOMAGNETISM 153
4.1 Fundamental laws of electromagnetism 153
4.2 Main features of the geomagnetic field 157
4.3 Penetration of the magnetic field and currents into the
lower mantle: skin depth
4.4 Analogy between the magnetic induction equation
and the vorticity equation
4.5 Magnetic dimensionless characteristic numbers
4.6 Lorentz force and Maxwell stresses 168
4.7 Magnetohydrodynamic waves: the Alfvén waves 170
4.8 Magnetostrophic waves 173
4.9 The Hartmann number
4.10 Hydromagnetic boundary layers
4 11 Fnpm« ?,..I.,„.
165
166
167
168
4.11 Energy budget
The geodynm
Fluid movem
Electric radii
Bibliography
185
4.12 The geodynamo
4.13 Fluid movements in the core 196
4.14 Electric radius of the core 200
190
5 GEOPHYSICAL IMPLICATIONS IN THE EARTH S CORE 209
5. / Review summary of the different kinds of waves in the core:
classification and terminology 209
5.2 Possible sources of mechanical energy to entertain convection
in the Earth s core 212
5.3 Gravitational potential energy liberated during the formation
of the inner core ¿14
5.4 Some remarks about the boundary layers 215
5.5 Core-mantle coupling 218
Bibliography 229
Appendix 232
Correspondence of units currently used in internal geophysics 232
The Earth 233
The Earth s core 234
Thermodynamic properties of the Earth s core 234
Electromagnetic properties of the Earth s core 235
Dimensionless numbers in the Earth s core 235
The Earth s inner core 235
Differential operators and fundamental formulas 237
Differential equations of the second order 240
Toroidal and poloidal vectorial fields 243
Glossary 245
Author Index 249
Subject Index 253
|
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| dewey-full | 551.1/12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.1/12 |
| dewey-search | 551.1/12 |
| dewey-sort | 3551.1 212 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Physik Geographie |
| edition | 1. ed. |
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| geographic_facet | Terre - Noyau Earth Core |
| id | DE-604.BV001216059 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:25:24Z |
| institution | BVB |
| isbn | 0080326072 0080326064 |
| language | English |
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| physical | VI, 256 S. graph. Darst., Kt. |
| psigel | TUB-nvmb |
| publishDate | 1986 |
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| publisher | Pergamon Press |
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| spelling | Melchior, Paul Verfasser aut The physics of the earth's core an introduction by Paul Melchior 1. ed. Oxford [u.a.] Pergamon Press 1986 VI, 256 S. graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Fisica Geral larpcal Geofisica larpcal Géophysique ram Erdkern (DE-588)4152675-2 gnd rswk-swf Physikalische Eigenschaft (DE-588)4134738-9 gnd rswk-swf Terre - Noyau Earth Core Erdkern (DE-588)4152675-2 s DE-604 Physikalische Eigenschaft (DE-588)4134738-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000733847&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Melchior, Paul The physics of the earth's core an introduction Fisica Geral larpcal Geofisica larpcal Géophysique ram Erdkern (DE-588)4152675-2 gnd Physikalische Eigenschaft (DE-588)4134738-9 gnd |
| subject_GND | (DE-588)4152675-2 (DE-588)4134738-9 |
| title | The physics of the earth's core an introduction |
| title_auth | The physics of the earth's core an introduction |
| title_exact_search | The physics of the earth's core an introduction |
| title_full | The physics of the earth's core an introduction by Paul Melchior |
| title_fullStr | The physics of the earth's core an introduction by Paul Melchior |
| title_full_unstemmed | The physics of the earth's core an introduction by Paul Melchior |
| title_short | The physics of the earth's core |
| title_sort | the physics of the earth s core an introduction |
| title_sub | an introduction |
| topic | Fisica Geral larpcal Geofisica larpcal Géophysique ram Erdkern (DE-588)4152675-2 gnd Physikalische Eigenschaft (DE-588)4134738-9 gnd |
| topic_facet | Fisica Geral Geofisica Géophysique Erdkern Physikalische Eigenschaft Terre - Noyau Earth Core |
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