Micropolar fluids: theory and applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston ; Basel ; Berlin
Birkhäuser
1999
|
| Series: | Modeling and simulation in science, engineering and technology
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 237 - 250 |
| Physical Description: | XV, 253 S. |
| ISBN: | 3764340088 0817640088 |
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Record in the Search Index
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| adam_text | GRZEGORZ LUKASZEWICZ MICROPOLAR FLUIDS THEORY AND APPLICATIONS
BIRKHAEUSER BOSTON * BASEL * BERLIN CONTENTS PREFACE XI I DESCRIPTION OF
THE MODEL 1 I ORDINARY AND POLAR FLUIDS 3 1 KINEMATICS 6 1.1 MATERIAL
AND SPATIAL COORDINATE SYSTEMS 6 1.2 TRANSPORT THEOREM 9 1.3 EQUATION OF
CONTINUITY 11 2 DYNAMICS 12 2.1 PRINCIPLE OF CONSERVATION OF LINEAR
MOMENTUM ... 12 2.2 CONSERVATION OF ANGULAR MOMENTUM AND SYMMETRY 15 2.3
EQUATION OF ENERGY 18 3 MICROPOLAR FLUIDS 20 3.1 ISOTROPIC POLAR FLUIDS
20 3.2 CONSTITUTIVE EQUATIONS FOR MICROPOLAR FLUIDS . . . . 21 3.3 FIELD
EQUATIONS CONSIDERED IN THIS BOOK 24 3.4 BOUNDARY CONDITIONS 25 4
THERMODYNAMICS 26 4.1 EQUATIONS OF STATE 26 4.2 SECOND LAW OF
THERMODYNAMICS AND CONSTRAINTS ON VISCOSITY COEFFICIENTS 26 5 COMMENTS
AND BIBLIOGRAPHICAL NOTES 29 II MATHEMATICAL ANALYSIS 35 1 MATHEMATICAL
PRELIMINARIES 37 VLLL CONTENTS 1 FUNCTIONAL ANALYSIS 37 1.1 THEOREMS
FROM LINEAR FUNCTIONAL ANALYSIS 37 1.2 FIXED POINT THEOREMS 40 2
FUNCTION SPACES 44 2.1 SOBOLEV SPACES AND DISTRIBUTIONS 44 2.2 SOME
EMBEDDING THEOREMS AND INEQUALITIES . . . . 49 2.3 BOCHNER SPACES 54 3
STOKES SYSTEM OF EQUATIONS . 56 2 STATIONARY PROBLEMS 59 1 BASIC
DIRICHLET PROBLEM 60 1.1 INTRODUCTION 60 1.2 AUXILIARY LINEAR PROBLEM 63
1.3 EXISTENCE 64 1.4 UNIQUENESS 68 1.5 HIGHER REGULARITY 69 2 FLOWS WITH
HEAT CONVECTION 71 2.1 INTRODUCTION 71 2.2 NOTATION AND PRELIMINARIES 73
2.3 DEFINITION OF THE MAP A 75 2.4 EXISTENCE 77 2.5 UNIQUENESS 80 3
FLOWS WITH DIFFUSION 81 3.1 INTRODUCTION 81 3.2 EQUATION FOR
MICROROTATION 85 3.3 LINEARIZED NAVIER-STOKES EQUATION 87 3.4 EQUATION
FOR DIFFUSION 91 3.5 EXISTENCE 94 3.6 UNIQUENESS 96 4 PROBLEM WITH
CONSTRAINTS 101 4.1 INTRODUCTION 101 4.2 EXISTENCE 104 4.3 CONTINUOUS
DEPENDENCE ON DATA AND UNIQUENESS . . 109 5 COMMENTS AND BIBLIOGRAPHICAL
NOTES 110 3 NONSTATIONARY PROBLEMS 111 1 STRONG AND WEAK SOLUTIONS 112
1.1 INTRODUCTION 112 1.2 LINEARIZED PROBLEM IN * AND P 115 1.3 PROBLEM
IN * 119 1.4 CONSTRUCTION OF APPROXIMATE SOLUTIONS 122 1.5 EXISTENCE OF
STRONG SOLUTIONS 125 1.6 EXISTENCE OF WEAK SOLUTIONS 128 2 ANOTHER CLASS
OF SOLUTIONS 129 CONTENTS IX 2.1 INTRODUCTION 129 2.2 LINEARIZED PROBLEM
IN * 132 2.3 AUXILIARY PROBLEM IN A; 135 2.4 EXISTENCE OF LOCAL
SOLUTIONS OF THE APPROXIMATE PROBLEMS 137 2.5 EXISTENCE OF GLOBAL
SOLUTIONS OF APPROXIMATE PROBLEMS 139 2.6 EXISTENCE OF GLOBAL SOLUTIONS
OF THE MAIN PROBLEM . 142 2.7 UNIQUENESS 144 3 NONHOMOGENEOUS FLOWS 145
3.1 INTRODUCTION 145 3.2 PROBLEM IN P 149 3.3 PROBLEM IN * 149 3.4
LINEARIZED PROBLEM IN * 153 3.5 SOLUTION OF THE MAIN PROBLEM WHEN THE
INITIAL DENSITY IS SEPARATED FROM ZERO 154 3.6 EXISTENCE RESULT FOR THE
MAIN PROBLEM 160 4 HEAT-CONDUCTING FLOWS 162 4.1 INTRODUCTION 162 4.2
STOKES EQUATION 165 4.3 LINEARIZED EQUATION FOR MICROROTATION 166 4.4
LINEARIZED EQUATION FOR TEMPERATURE 168 4.5 LOCAL EXISTENCE AND
UNIQUENESS 171 4.6 GLOBAL EXISTENCE 173 5 COMMENTS AND BIBLIOGRAPHICAL
NOTES 176 III APPLICATION 179 1 SELECTED APPLICATIONS 181 1 MICROPOLAR
FLUIDS IN LUBRICATION THEORY 182 1.1 DESCRIPTION OF THE PROBLEM AND MAIN
RESULTS . . . . 182 1.2 EXISTENCE OF SOLUTIONS OF TWO-DIMENSIONAL
PROBLEMS 185 1.3 PASSAGE TO THE LIMIT 191 1.4 INVESTIGATION OF THE LIMIT
PROBLEM 194 1.5 REMARKS 199 2 MICROPOLAR FLUIDS IN POROUS MEDIA 202 2.1
INTRODUCTION 202 2.2 TWO-SCALE CONVERGENCE 204 2.3 MICROPROBLEMS 208 2.4
TWO-SCALE HOMOGENIZED PROBLEM 210 2.5 CELL PROBLEMS AND HOMOGENIZED FLOW
213 3 EXAMPLES OF EXACT SOLUTIONS 216 3.1 POISEUILLE FLOW BETWEEN
PARALLEL PLANES 217 X CONTENTS I 3.2 COUETTE FLOW BETWEEN PARALLEL
PLANES 221 3.3 NARROW FILM BETWEEN PARALLEL PLATES 223 4 DISCRETE
PROBLEM AND NUMERICAL ALGORITHM 225 5 COMMENTS AND BIBLIOGRAPHICAL NOTES
230 REFERENCES 237 INDEX 251
|
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| bvnumber | BV012430932 |
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| discipline | Physik |
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| indexdate | 2024-07-09T18:27:29Z |
| institution | BVB |
| isbn | 3764340088 0817640088 |
| language | English |
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| physical | XV, 253 S. |
| publishDate | 1999 |
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| publisher | Birkhäuser |
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| series2 | Modeling and simulation in science, engineering and technology |
| spelling | Łukaszewicz, Grzegorz Verfasser (DE-588)120793474 aut Micropolar fluids theory and applications Grzegorz Łukaszewicz Boston ; Basel ; Berlin Birkhäuser 1999 XV, 253 S. txt rdacontent n rdamedia nc rdacarrier Modeling and simulation in science, engineering and technology Literaturverz. S. 237 - 250 Polares Fluid (DE-588)4276196-7 gnd rswk-swf Polares Fluid (DE-588)4276196-7 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008435688&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Łukaszewicz, Grzegorz Micropolar fluids theory and applications Polares Fluid (DE-588)4276196-7 gnd |
| subject_GND | (DE-588)4276196-7 |
| title | Micropolar fluids theory and applications |
| title_auth | Micropolar fluids theory and applications |
| title_exact_search | Micropolar fluids theory and applications |
| title_full | Micropolar fluids theory and applications Grzegorz Łukaszewicz |
| title_fullStr | Micropolar fluids theory and applications Grzegorz Łukaszewicz |
| title_full_unstemmed | Micropolar fluids theory and applications Grzegorz Łukaszewicz |
| title_short | Micropolar fluids |
| title_sort | micropolar fluids theory and applications |
| title_sub | theory and applications |
| topic | Polares Fluid (DE-588)4276196-7 gnd |
| topic_facet | Polares Fluid |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008435688&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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