Colloidal transport in porous media - modeling and analysis: = Kolloidaler Transport in porösen Medien - Modellierung und Analysis
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Aachen
Shaker
2013
|
| Series: | Berichte aus der Mathematik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 171 S. Ill., graph. Darst. 210 mm x 148 mm, 278 g |
| ISBN: | 9783844020434 |
Staff View
MARC
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| 246 | 1 | 1 | |a Kolloidaler Transport in porösen Medien - Modellierung und Analysis |
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Record in the Search Index
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IMAGE 1
CONTENTS
ZUSAMMENFASSUNG VII
ABSTRACT XI
1 INTRODUCTION 1
1.1 MOTIVATION 1
1.2 AIM 5
1.3 OUTLINE OF THE THESIS 7
2 BASIC MODELS 9
2.1 PORE-SCALE MODELS 10
2.1.1 SPECIAL CASES 12
2.1.2 MODEL PROBLEM P 16
2.1.3 DIMENSIONLESS FORM OF PROBLEM P 18
2.1.4 ANALYSIS OF PROBLEM P 22
2.2 EFFECTIVE MODELS 27
2.2.1 DARCY'S LAW 27
2.2.2 TRANSPORT EQUATIONS 28
2.2.3 LINEAR SYSTEMS 29
2.2.4 EFFECTIVE MODEL EQUATIONS. PROBLEM PO 29
2.2.5 ANALYTICAL INVESTIGATIONS 31
2.2.6 NON-NEGATIVITY AND BOUNDEDNESS IN L((0, T ) X F L ) 33
2.2.7 EXISTENCE AND UNIQUENESS 43
2.3 CONCLUDING REMARKS 54
3 THE CONCEPT OF HOMOGENIZATION 55
3.1 INTRODUCTION 55
HTTP://D-NB.INFO/1036281531
IMAGE 2
CONTENTS
3.1.1 INTRODUCTION TO UPSCALING METHODS 57
3.1.2 METHOD OF VOLUME AVERAGING 57
3.1.3 HOMOGENIZATION METHODS 57
3.1.4 EXTENSION INTO Q 64
3.2 OVERVIEW EXISTING LITERATURE 65
4 HOMOGENIZATION OF PROBLEM P 67
4.1 PORE-SCALE MODEL P E 68
4.1.1 DEFINITION AND EXISTENCE OF WEAK SOLUTIONS OF PROBLEM P E . . . .
7 1
4.2 NEUMANN CASE 73
4.2.1 ^-INDEPENDENT A PRIORI ESTIMATES IN THE NEUMANN CASE 73
4.2.2 HOMOGENIZATION IN THE NEUMANN CASE 82
4.2.3 CONCLUSION 95
4.3 DIRICHLET CASE 97
4.3.1 E-INDEPENDENT A PRIORI ESTIMATES IN THE DIRICHLET CASE 97
4.3.2 HOMOGENIZATION IN THE DIRICHLET CASE 102
4.3.3 CONCLUSION 108
4.4 CONCLUDING REMARKS 109
5 HOMOGENIZATION OF PROBLEM P INCLUDING AN EVOLVING MICROSTRUCTURELL3
5.1 INTRODUCTION 113
5.2 EXTENSIONS OF PERIODIC UPSCALING 114
5.3 PORE-SCALE MODEL 115
5.3.1 MASS CONSERVATION LAWS 116
5.3.2 REACTION RATE 118
5.3.3 LEVEL SET FUNCTION 118
5.3.4 OUTLINE OF THE PORE-SCALE MODEL 119
5.4 PERIODIC HOMOGENIZATION 119
5.4.1 EVOLVING PORE GEOMETRY 119
5.4.2 SCALED MODEL EQUATIONS 119
5.4.3 TWO-SCALE ASYMPTOTIC EXPANSION 121
5.4.4 LOWEST ORDER PROBLEMS OF THE ASYMPTOTIC EXPANSION 122
5.4.5 NEXT ORDER PROBLEMS OF THE ASYMPTOTIC EXPANSION 123
5.4.6 ZEROTH ORDER TRANSPORT PROBLEM OF THE ASYMPTOTIC EXPANSION . . 125
5.4.7 UPSCALING RESULTS 128
IMAGE 3
CONTENTS ' III
5.4.8 PROPERTIES OF THE COEFFICIENT FUNCTIONS 130
5.4.9 BACKTRANSFORMATION 132
5.5 NUMERICAL RESULTS 132
5.5.1 REPRESENTATION OF THE INTERACTION POTENTIAL AND THE GEOMETRY IN
A RADIALLY SYMMETRIC SETTING 133
5.5.2 COMPUTATION OF EFFECTIVE COEFFICIENTS 135
5.6 CONCLUDING REMARKS 139
6 DISCUSSION AND OUTLOOK 141
A NOTATION 145
A.L BASIC NOTATION 145
A.2 DOMAIN RELATED QUANTITIES 147
A.3 FUNCTION SPACES 148
A.4 (DIFFERENTIAL) OPERATORS 150
A.5 PHYSICAL QUANTITIES 151
A.6 DIMENSIONLESS NUMBERS AND CHARACTERISTIC QUANTITIES 154
BIBLIOGRAPHY 155
DECLARATION 167
CURRICULUM VITAE 169 |
| any_adam_object | 1 |
| author | Ray, Nadja 1983- |
| author_GND | (DE-588)103740002X |
| author_facet | Ray, Nadja 1983- |
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| bvnumber | BV041263353 |
| ctrlnum | (OCoLC)855560732 (DE-599)DNB1036281531 |
| dewey-full | 530.415 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.415 |
| dewey-search | 530.415 |
| dewey-sort | 3530.415 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Thesis Book |
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| id | DE-604.BV041263353 |
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| indexdate | 2024-12-11T13:03:16Z |
| institution | BVB |
| isbn | 9783844020434 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026237128 |
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| physical | XII, 171 S. Ill., graph. Darst. 210 mm x 148 mm, 278 g |
| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | Shaker |
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| series2 | Berichte aus der Mathematik |
| spelling | Ray, Nadja 1983- Verfasser (DE-588)103740002X aut Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis Nadja Ray Kolloidaler Transport in porösen Medien - Modellierung und Analysis Aachen Shaker 2013 XII, 171 S. Ill., graph. Darst. 210 mm x 148 mm, 278 g txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Erlangen-Nürnberg, Univ., Diss., 2013 Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Stoffübertragung (DE-588)4057696-6 gnd rswk-swf Homogenisierung Mathematik (DE-588)4403079-4 gnd rswk-swf Elektrostatische Wechselwirkung (DE-588)4329545-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Kolloid (DE-588)4164695-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Poröser Stoff (DE-588)4046811-2 s Stoffübertragung (DE-588)4057696-6 s Kolloid (DE-588)4164695-2 s Elektrostatische Wechselwirkung (DE-588)4329545-9 s Mathematisches Modell (DE-588)4114528-8 s Homogenisierung Mathematik (DE-588)4403079-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026237128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ray, Nadja 1983- Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis Poröser Stoff (DE-588)4046811-2 gnd Stoffübertragung (DE-588)4057696-6 gnd Homogenisierung Mathematik (DE-588)4403079-4 gnd Elektrostatische Wechselwirkung (DE-588)4329545-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Kolloid (DE-588)4164695-2 gnd |
| subject_GND | (DE-588)4046811-2 (DE-588)4057696-6 (DE-588)4403079-4 (DE-588)4329545-9 (DE-588)4114528-8 (DE-588)4164695-2 (DE-588)4113937-9 |
| title | Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis |
| title_alt | Kolloidaler Transport in porösen Medien - Modellierung und Analysis |
| title_auth | Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis |
| title_exact_search | Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis |
| title_full | Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis Nadja Ray |
| title_fullStr | Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis Nadja Ray |
| title_full_unstemmed | Colloidal transport in porous media - modeling and analysis = Kolloidaler Transport in porösen Medien - Modellierung und Analysis Nadja Ray |
| title_short | Colloidal transport in porous media - modeling and analysis |
| title_sort | colloidal transport in porous media modeling and analysis kolloidaler transport in porosen medien modellierung und analysis |
| title_sub | = Kolloidaler Transport in porösen Medien - Modellierung und Analysis |
| topic | Poröser Stoff (DE-588)4046811-2 gnd Stoffübertragung (DE-588)4057696-6 gnd Homogenisierung Mathematik (DE-588)4403079-4 gnd Elektrostatische Wechselwirkung (DE-588)4329545-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Kolloid (DE-588)4164695-2 gnd |
| topic_facet | Poröser Stoff Stoffübertragung Homogenisierung Mathematik Elektrostatische Wechselwirkung Mathematisches Modell Kolloid Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026237128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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