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pattern dynamics and spatiotemporal disorder in traveling-wave convection. [microform]
pattern dynamics and spatiotemporal disorder in traveling-wave convection. - [microform]
pattern dynamics and spatiotemporal disorder in traveling-wave convection. [microform]

상세정보

자료유형  
 마이크로피시
청구기호  
530 L111p
    저자명  
    서명/저자  
    pattern dynamics and spatiotemporal disorder in traveling-wave convection. - [microform]
    발행사항  
    U.S. : university of california , san diego,
      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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