Holdings: Unsteady porous-media flows

Unsteady porous-media flows:

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Bibliographic Details
Main Author:	Zhu, Tao (Author)
Format:	Thesis Book
Language:	English
Published:	München Technische Universität, Professur für Hydromechanik [2016]
Series:	Mitteilung / Fachgebiet Hydromechanik, Technische Universität München Nr. 83
Subjects:	Poröser Stoff Instationäre Strömung Forchheimer-Gleichung Numerische Strömungssimulation Filtergesetz Hochschulschrift
Online Access:	Inhaltsverzeichnis
Physical Description:	XIV, 87 Seiten Illustrationen 21 cm
ISBN:	9783941746886

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MARC


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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
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author	Zhu, Tao
author_facet	Zhu, Tao
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author_sort	Zhu, Tao
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building	Verbundindex
bvnumber	BV043886008
classification_tum	BAU 650f
ctrlnum	(OCoLC)967296778 (DE-599)DNB111937362X
discipline	Bauingenieurwesen
format	Thesis Book
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isbn	9783941746886
language	English
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physical	XIV, 87 Seiten Illustrationen 21 cm
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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

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