Unsteady porous-media flows:
Gespeichert in:
1. Verfasser: | |
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Format: | Abschlussarbeit Buch |
Sprache: | English |
Veröffentlicht: |
München
Technische Universität, Professur für Hydromechanik
[2016]
|
Schriftenreihe: | Mitteilung / Fachgebiet Hydromechanik, Technische Universität München
Nr. 83 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIV, 87 Seiten Illustrationen 21 cm |
ISBN: | 9783941746886 |
Internformat
MARC
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245 | 1 | 0 | |a Unsteady porous-media flows |c Tao Zhu |
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490 | 1 | |a Mitteilung / Fachgebiet Hydromechanik, Technische Universität München |v Nr. 83 | |
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Datensatz im Suchindex
_version_ | 1804176784559702016 |
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adam_text | CONTENTS
ABSTRACT I
PREFACE 11
CONTENTS VI
LIST OF TABLES VII
LIST OF FIGURES XI
NOMENCLATURE XIII
1 INTRODUCTION 1
1.1 UNSTEADY POROUS-MEDIA FLO W
................................................................................
1
1.2 MAIN AP P RO A C H E
S...................................................................................................
2
1.3 GLOBAL PROBLEM S TA TE M E N
T...................................................................................
5
2 STATE OF THE ART 7
2.1 MATHEMATICAL DESCRIPTIONS OF POROUS MEDIA F LO W
................................................ 7
2.1.1 NAVIER-STOKES EQUATIONS
.
.........................................................................
7
2.1.2 VOLUME-AVERAGED
NAVIER-STOKES..............................................................
8
2.2 STEADY POROUS MEDIA FLOW
...................................................................................
11
2.2.1 THE DARCY*S LAW
.........................................................................................
11
2.2.2 THE FORCHHEIMER EQUATION AND NON-LINEAR REG IM
ES............................... 12
2.2.3 ONSET OF THE NON-LINEAR EFFECTS IN STEADY POROUS MEDIA FLO W
...............
16
2.3 UNSTEADY POROUS MEDIA FLO W
................................................................................
18
2.3.1 UNSTEADY DARCY AND UNSTEADY FORCHHEIMER EQ U ATIO N
S......................... 18
2.3.2 DERIVING THE COEFFICIENTS FROM VANS AP P RO A CH
......................................
19
2.3.3 DERIVING THE COEFFICIENTS FROM THE VIRTUAL MASS APPROACH
..................
20
3 PROBLEM STATEMENT 23
4 PARTI: UNSTEADY DARCY EQUATION FOR UNSTEADY AND LINEAR FLOWS 25
4.1 T HEO RY
.....................................................................................................................
25
4.1.1 STEADY AND UNSTEADY FORM OF THE DARCY EQUATION
............................... 25
4.1.2 VOLUME-AVERAGING OF THE MOMENTUM E Q U A TIO N
.....................................
26
4.1.3 VIRTUAL MASS A P P RO A C H
.............................................................................
27
4.1.4 A NEW APPROACH TO DETERMINE THE TIME CONSTANT IN UNSTEADY POROUS-
MEDIA FLOW
...................................................................................................
28
4.1.5 SUMMARY OF THE DIFFERENT AP P RO ACH
ES..................................................... 31
4.2 NUMERICAL
RESULTS...................................................................................................
33
4.2.1 BENCHMARK PROBLEM
.................................................................................
33
4.2.2 SIMULATION S E T U P
.......................................................................................
33
4.2.3 VELOCITY PROFILES DURING FLOW ACCELERATION
..............................................
35
4.2.4 SUPERFICIAL V E LO C ITY
....................................................................................
35
4.2.5 INTERACTION TE RM
..........................................................................................
38
4.2.6 DISSIPATION OF THE KINETIC
ENERGY.............................................................. 40
4.2.7
TIME-SCALE...................................................................................................
41
4.2.8 COMPARISON WITH THE VIRTUAL MASS A P P RO A C H
........................................
42
4.3
CONTUSIONS...............................................................................................................
42
5 PART2: UNSTEADY DARCY EQUATION FOR OSCILLATORY AND LINEAR FLOWS 45
5.1 T
HEORY......................................................................................................................
46
5.2 NUMERICAL
RESULTS............................................................................................
50
5.2.1 SIMULATION S E T U P
.......................................................................................
51
5.2.2 SUPERFICIAL V E LO C ITY
....................................................................................
53
5.2.3 PHASE L A G
...................................................................................................
55
5.2.4 VELOCITY
PROFILES..........................................................................................
55
5.2.5 INTERACTION TERM AND DISSIPATION OF THE KINETIC EN E RG Y
..........................
57
5.3
CONTUSIONS.....................................................................................................................
60
6 PART3: NON-LINEAR EFFECTS IN UNSTEADY FLOWS, AND THE UNSTEADY
FORCHHEIMER
EQUATION 63
6.1 ONSET OF THE NON-LINEAR EFFECTS IN UNSTEADY POROUS-MEDIA F LOW
S................... 63
6.1.1 BENCHMARK PROBLEM
................................................................................
64
6.1.2 SIMULATION S E T U P
.......................................................................................
65
6.1.3 NORMALIZED SUPERFICIAL
VELOCITY.................................................................
66
6.1.4 THE ONSET AGAINST THE INSTANTANEOUS PORE REYNOLDS NUM
BER................ 68
6.1.5 THE ONSET AGAINST THE INSTANTANEOUS STOKES REYNOLDS NUMBER .... 72
6.2 THE UNSTEADY FORCHHEIMER E Q U A TIO N
................................................................. 74
6.2.1 NUMERICAL RESULTS
.....................................................................................
75
6.3
CONLUSIONS...............................................................................................................
77
7 CONCLUSIONS AND OUTLOOK
79
|
any_adam_object | 1 |
author | Zhu, Tao |
author_facet | Zhu, Tao |
author_role | aut |
author_sort | Zhu, Tao |
author_variant | t z tz |
building | Verbundindex |
bvnumber | BV043886008 |
classification_tum | BAU 650f |
ctrlnum | (OCoLC)967296778 (DE-599)DNB111937362X |
discipline | Bauingenieurwesen |
format | Thesis Book |
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genre_facet | Hochschulschrift |
id | DE-604.BV043886008 |
illustrated | Illustrated |
indexdate | 2024-07-10T07:37:41Z |
institution | BVB |
isbn | 9783941746886 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029295507 |
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owner_facet | DE-12 DE-91 DE-BY-TUM |
physical | XIV, 87 Seiten Illustrationen 21 cm |
publishDate | 2016 |
publishDateSearch | 2016 |
publishDateSort | 2016 |
publisher | Technische Universität, Professur für Hydromechanik |
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spelling | Zhu, Tao Verfasser aut Unsteady porous-media flows Tao Zhu München Technische Universität, Professur für Hydromechanik [2016] XIV, 87 Seiten Illustrationen 21 cm txt rdacontent n rdamedia nc rdacarrier Mitteilung / Fachgebiet Hydromechanik, Technische Universität München Nr. 83 Dissertation Technische Universität München 2016 Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Instationäre Strömung (DE-588)4132734-2 gnd rswk-swf Forchheimer-Gleichung (DE-588)1113681535 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Filtergesetz (DE-588)4192014-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Poröser Stoff (DE-588)4046811-2 s Instationäre Strömung (DE-588)4132734-2 s Filtergesetz (DE-588)4192014-4 s Forchheimer-Gleichung (DE-588)1113681535 s Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 Fachgebiet Hydromechanik, Technische Universität München Mitteilung Nr. 83 (DE-604)BV019829439 83 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029295507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Zhu, Tao Unsteady porous-media flows Poröser Stoff (DE-588)4046811-2 gnd Instationäre Strömung (DE-588)4132734-2 gnd Forchheimer-Gleichung (DE-588)1113681535 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Filtergesetz (DE-588)4192014-4 gnd |
subject_GND | (DE-588)4046811-2 (DE-588)4132734-2 (DE-588)1113681535 (DE-588)4690080-9 (DE-588)4192014-4 (DE-588)4113937-9 |
title | Unsteady porous-media flows |
title_auth | Unsteady porous-media flows |
title_exact_search | Unsteady porous-media flows |
title_full | Unsteady porous-media flows Tao Zhu |
title_fullStr | Unsteady porous-media flows Tao Zhu |
title_full_unstemmed | Unsteady porous-media flows Tao Zhu |
title_short | Unsteady porous-media flows |
title_sort | unsteady porous media flows |
topic | Poröser Stoff (DE-588)4046811-2 gnd Instationäre Strömung (DE-588)4132734-2 gnd Forchheimer-Gleichung (DE-588)1113681535 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Filtergesetz (DE-588)4192014-4 gnd |
topic_facet | Poröser Stoff Instationäre Strömung Forchheimer-Gleichung Numerische Strömungssimulation Filtergesetz Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029295507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV019829439 |
work_keys_str_mv | AT zhutao unsteadyporousmediaflows |