Statistics and Scaling in Turbulent Rayleigh-Bénard Convection:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
2014
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| Schriftenreihe: | SpringerBriefs in Applied Sciences and Technology
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| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | This Brief addresses two issues of interest of turbulent Rayleigh-Bénard convection. The first issue is the characterization and understanding of the statistics of the velocity and temperature fluctuations in the system. The second issue is the revelation and understanding of the nature of the scaling behavior of the velocity temperature structure functions. The problem under the Oberbeck-Boussinesq approximation is formulated. The statistical tools, including probability density functions (PDF) and conditional statistics, for studying fluctuations are introduced, and implicit PDF formulae for fluctuations obeying certain statistical symmetries are derived. Applications of these PDF formulae to study the fluctuations in turbulent Rayleigh-Bénard convection are then discussed. The phenomenology of the different types of scaling behavior: the Bolgiano-Obhukov scaling behavior when buoyancy effects are significant and the Kolmogorov-Obukhov-Corrsin scaling behavior when they are not, is introduced. A crossover between the two types of scaling behavior is expected to occur at the Bolgiano length scale above which buoyancy is important. The experimental observations are reviewed. In the central region of the convective cell, the Kolmogorov-Obukhov-Corrsin scaling behavior has been observed. On the other hand, the Bolgiano-Obukhov scaling remains elusive only until recently. By studying the dependence of the conditional temperature structure functions on the locally averaged thermal dissipation rate, evidence for the Bolgiano-Obukhov scaling has recently been found near the bottom plate. The different behaviors observed in the two regions could be attributed to the different size of the Bolgiano scale. What physics determines the relative size of the Bolgiano scale remains to be understood. The Brief is concluded by a discussion of these outstanding issues |
| Beschreibung: | 1 Online-Ressource (VIII, 65 p.) 8 illus., 1 illus. in color |
| ISBN: | 9789814560238 |
| DOI: | 10.1007/978-981-4560-23-8 |
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| adam_text | STATISTICS AND SCALING IN TURBULENT RAYLEIGH-BENARD CONVECTION
/ CHING, EMILY S.C.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE RAYLEIGH-BENARD CONVECTION SYSTEM
STATISTICAL ANALYSIS OF TURBULENT FLUCTUATIONS
PHENOMENOLOGY AND SCALING THEORIES
OBSERVED SCALING BEHAVIOR
SUMMARY AND OUTLOOK
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
STATISTICS AND SCALING IN TURBULENT RAYLEIGH-BENARD CONVECTION
/ CHING, EMILY S.C.
: 2014
ABSTRACT / INHALTSTEXT
THIS BRIEFADDRESSES TWO ISSUES OF INTEREST OF TURBULENT
RAYLEIGH-BENARD CONVECTION. THE fiRST ISSUE IS THE CHARACTERIZATION
AND UNDERSTANDING OF THE STATISTICS OF THE VELOCITY AND TEMPERATURE
flUCTUATIONS IN THE SYSTEM. THE SECOND ISSUE IS THE REVELATION AND
UNDERSTANDING OF THE NATURE OF THE SCALING BEHAVIOR OF THE VELOCITY
TEMPERATURE STRUCTURE FUNCTIONS.THE PROBLEM UNDER THE
OBERBECK-BOUSSINESQ APPROXIMATION IS FORMULATED. THE STATISTICAL TOOLS,
INCLUDING PROBABILITY DENSITY FUNCTIONS (PDF) AND CONDITIONAL
STATISTICS, FOR STUDYING FLUCTUATIONS ARE INTRODUCED, AND IMPLICIT PDF
FORMULAE FOR FLUCTUATIONS OBEYING CERTAIN STATISTICAL SYMMETRIES ARE
DERIVED. APPLICATIONS OF THESE PDF FORMULAE TO STUDY THE FLUCTUATIONS
IN TURBULENT RAYLEIGH-BENARDCONVECTION ARE THEN DISCUSSED.THE
PHENOMENOLOGY OF THE DIFFERENT TYPES OF SCALING BEHAVIOR: THE
BOLGIANO-OBHUKOV SCALING BEHAVIOR WHEN BUOYANCY EFFECTS ARE SIGNIFICANT
AND THE KOLMOGOROV-OBUKHOV-CORRSIN SCALING BEHAVIOR WHEN THEY ARE NOT,
IS INTRODUCED. A CROSSOVER BETWEEN THE TWO TYPES OF SCALING BEHAVIOR IS
EXPECTED TO OCCUR AT THE BOLGIANO LENGTH SCALE ABOVE WHICH BUOYANCY IS
IMPORTANT. THE EXPERIMENTALOBSERVATIONS ARE REVIEWED. IN THE CENTRAL
REGION OF THE CONVECTIVE CELL, THE KOLMOGOROV-OBUKHOV-CORRSIN SCALING
BEHAVIOR HAS BEEN OBSERVED. ON THE OTHER HAND,THE BOLGIANO-OBUKHOV
SCALING REMAINS ELUSIVE ONLY UNTIL RECENTLY.BY STUDYING THE DEPENDENCE
OF THE CONDITIONAL TEMPERATURE STRUCTURE FUNCTIONS ON THE LOCALLY
AVERAGED THERMAL DISSIPATION RATE, EVIDENCE FORTHE BOLGIANO-OBUKHOV
SCALING HAS RECENTLY BEEN FOUNDNEAR THE BOTTOM PLATE.THE DIFFERENT
BEHAVIORS OBSERVED IN THE TWO REGIONS COULD BE ATTRIBUTED TO THE
DIFFERENT SIZE OF THE BOLGIANO SCALE.WHAT PHYSICS DETERMINES THE
RELATIVE SIZE OF THE BOLGIANO SCALE REMAINS TO BE UNDERSTOOD. THE BRIEF
IS CONCLUDED BY A DISCUSSION OF THESE OUTSTANDING ISSUES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Ching, Emily S.C |
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| building | Verbundindex |
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| contents | The Rayleigh-Bénard Convection System -- Statistical Analysis of Turbulent Fluctuations -- Phenomenology and Scaling Theories -- Observed Scaling Behavior -- Summary and Outlook |
| ctrlnum | (OCoLC)891515350 (DE-599)BVBBV041471120 |
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| id | DE-604.BV041471120 |
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| indexdate | 2024-08-01T10:56:00Z |
| institution | BVB |
| isbn | 9789814560238 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026917262 |
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| physical | 1 Online-Ressource (VIII, 65 p.) 8 illus., 1 illus. in color |
| psigel | ZDB-2-ENG |
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| publishDateSort | 2014 |
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| spellingShingle | Ching, Emily S.C Statistics and Scaling in Turbulent Rayleigh-Bénard Convection The Rayleigh-Bénard Convection System -- Statistical Analysis of Turbulent Fluctuations -- Phenomenology and Scaling Theories -- Observed Scaling Behavior -- Summary and Outlook Engineering Thermodynamics Hydraulic engineering Engineering Fluid Dynamics Engineering Thermodynamics, Heat and Mass Transfer Fluid- and Aerodynamics Ingenieurwissenschaften |
| title | Statistics and Scaling in Turbulent Rayleigh-Bénard Convection |
| title_auth | Statistics and Scaling in Turbulent Rayleigh-Bénard Convection |
| title_exact_search | Statistics and Scaling in Turbulent Rayleigh-Bénard Convection |
| title_full | Statistics and Scaling in Turbulent Rayleigh-Bénard Convection by Emily S.C. Ching |
| title_fullStr | Statistics and Scaling in Turbulent Rayleigh-Bénard Convection by Emily S.C. Ching |
| title_full_unstemmed | Statistics and Scaling in Turbulent Rayleigh-Bénard Convection by Emily S.C. Ching |
| title_short | Statistics and Scaling in Turbulent Rayleigh-Bénard Convection |
| title_sort | statistics and scaling in turbulent rayleigh benard convection |
| topic | Engineering Thermodynamics Hydraulic engineering Engineering Fluid Dynamics Engineering Thermodynamics, Heat and Mass Transfer Fluid- and Aerodynamics Ingenieurwissenschaften |
| topic_facet | Engineering Thermodynamics Hydraulic engineering Engineering Fluid Dynamics Engineering Thermodynamics, Heat and Mass Transfer Fluid- and Aerodynamics Ingenieurwissenschaften |
| url | https://doi.org/10.1007/978-981-4560-23-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917262&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917262&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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