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pattern dynamics and spatiotemporal disorder in traveling-wave convection. [microform]
pattern dynamics and spatiotemporal disorder in traveling-wave convection. [microform]
상세정보
- 자료유형
- 마이크로피시
- 청구기호
- 저자명
- 서명/저자
- pattern dynamics and spatiotemporal disorder in traveling-wave convection. - [microform]
- 발행사항
- 형태사항
- 201 p. : microfiches ; 11×15 cm.
- 총서명
- UMI Dissertation
- 주기사항
- Source: Dissertation Abstracts International, Volume: 57-12, Section: B, page: 7587.
- 학위논문주기
- thesis (ph.d.)-- - university of california, san diego, 1996.
- 초록/해제
- 요약Experiments in traveling-wave convection are motivated as a study of pattern formation in systems driven far from equilibrium. Binary fluid convection is described as a model of pattern formation in a system which undergoes a Hopf bifurcation, and previous work is summarized. The apparatus, consisting of a cylindrical convection cell having an aperture of 21 cm and an aspect ratio of 26, and a reflecting optics shadowgraph, is described. Measurements of the temperature uniformity of the convection cell, and calculations of aberrations in the shadowgraph are presented. A survey of traveling-wave convection patterns over a wide range of Rayleigh number in an 8% ethanol mixture is given. It is found that extremely disordered convection patterns are produced when convection is initiated, and that the patterns order themselves, forming rotating patterns consisting of several domains of traveling-waves separated by domain boundaries. An numerical analysis technique is described for characterizing the dynamics of ordered TW convection patterns. The properties of the patterns are contrasted with predictions of analytic models. The domain boundaries are analyzed using 3-D spatiotemporal complex demodulation. The penetration of waves across domain boundaries is measured, and it is found that waves may be reflected from domain boundaries. The reflection coefficient and the decay length of the reflected wave are measured. An algorithm is described for calculating the trajectories of phase defects in the convection patterns. The spatiotemporal disordered observed when convection is initiated is described in terms of the statistics and dynamics of phase defects in the patterns. The defect-defect correlation functions are calculated, and are related to the stability of the patterns. It is found that at high Rayleigh number, just beyond the transition to stationary convection, binary fluid convection patterns exhibit an angular texture. The texture is described in terms of a modified Swift-Hohenberg free energy in which separate terms for curvature and wave number frustration are introduced. The results are summarized, and are discussed in the context of the quenching of spatiotemporal disorder in the system. Future research in binary fluid convection is suggested.
- 복제주기
- Microfiche : UMI . microfiches;11×15 cm.
- 일반주제명
- 일반주제명
- 키워드
- 기타저자
- 기본자료저록
- Dissertation Abstracts International. 57-12B.
MARC
008970923s1996 us eng■001MOKWON00234604
■001AAV9714828
■00519981005103357
■008970923s1996 us eng
■035 ▼a(UnM)AAV9714828
■040 ▼aUnM▼cUnM▼dMOKWON
■090 ▼a530▼bL111p
■1001 ▼ala porta, arthur.
■24510▼apattern dynamics and spatiotemporal disorder in traveling-wave convection.▼h[microform]
■260 ▼aU.S.▼buniversity of california▼csan diego,
■300 ▼a201 p.▼bmicrofiches▼c11×15 cm.
■350 ▼a$50.6
■44000▼aUMI Dissertation
■500 ▼aSource: Dissertation Abstracts International, Volume: 57-12, Section: B, page: 7587.
■502 ▼athesis (ph.d.)--▼buniversity of california▼dsan diego▼d1996.
■520 ▼aExperiments in traveling-wave convection are motivated as a study of pattern formation in systems driven far from equilibrium. Binary fluid convection is described as a model of pattern formation in a system which undergoes a Hopf bifurcation, and previous work is summarized. The apparatus, consisting of a cylindrical convection cell having an aperture of 21 cm and an aspect ratio of 26, and a reflecting optics shadowgraph, is described. Measurements of the temperature uniformity of the convection cell, and calculations of aberrations in the shadowgraph are presented. A survey of traveling-wave convection patterns over a wide range of Rayleigh number in an 8% ethanol mixture is given. It is found that extremely disordered convection patterns are produced when convection is initiated, and that the patterns order themselves, forming rotating patterns consisting of several domains of traveling-waves separated by domain boundaries. An numerical analysis technique is described for characterizing the dynamics of ordered TW convection patterns. The properties of the patterns are contrasted with predictions of analytic models. The domain boundaries are analyzed using 3-D spatiotemporal complex demodulation. The penetration of waves across domain boundaries is measured, and it is found that waves may be reflected from domain boundaries. The reflection coefficient and the decay length of the reflected wave are measured. An algorithm is described for calculating the trajectories of phase defects in the convection patterns. The spatiotemporal disordered observed when convection is initiated is described in terms of the statistics and dynamics of phase defects in the patterns. The defect-defect correlation functions are calculated, and are related to the stability of the patterns. It is found that at high Rayleigh number, just beyond the transition to stationary convection, binary fluid convection patterns exhibit an angular texture. The texture is described in terms of a modified Swift-Hohenberg free energy in which separate terms for curvature and wave number frustration are introduced. The results are summarized, and are discussed in the context of the quenching of spatiotemporal disorder in the system. Future research in binary fluid convection is suggested.
■533 ▼aMicrofiche▼cUMI▼emicrofiches;11×15 cm.
■590 ▼aSchool code: 0033.
■650 4▼aPhysics, Fluid and Plasma
■650 4▼aEngineering, Mechanical
■653 ▼apattern▼adynamics▼aand▼aspatiotemporal▼adisorder▼ain▼atraveling-wave▼aconvection.
■690 ▼a0759
■690 ▼a0548
■71020▼auniversity of california, san diego.
■7730 ▼tDissertation Abstracts International▼g57-12B.
■790 ▼a0033
■791 ▼aPH.D.
■792 ▼a1996
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