• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Discontinuous boundary conditions for the Boltzmann equation And generalization of slip boundary conditions

Research Project

Project/Area Number 21656026
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Engineering fundamentals
Research InstitutionKyoto University

Principal Investigator

AOKI Kazuo  京都大学, 大学院・工学研究科, 教授 (10115777)

Co-Investigator(Kenkyū-buntansha) KOSUGE Shingo  京都大学, 大学院・工学研究科, 助教 (40335188)
Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2009: ¥1,900,000 (Direct Cost: ¥1,900,000)
Keywords物理数学 / ボルツマン方程式 / すべり境界条件 / クヌーセン層 / 希薄気体力学 / マイクロ流体力学
Research Abstract

When the boundary has a sharp edge or a discontinuous temperature, the"slip boundary condition"cannot describe the correct behavior of the gas even when the mean free path of gas molecules is much shorter than the characteristic length of the system. In the present study, it is clarified how the slip boundary condition is modified in such cases, with the help of accurate numerical analysis based on a model Boltzmann equation and indirect theoretical approach based on the symmetry relations of the linearized Boltzmann equation.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (23 results)

All 2012 2011 2010 Other

All Journal Article (6 results) (of which Peer Reviewed: 5 results) Presentation (13 results) Remarks (4 results)

  • [Journal Article] 温度場によって誘起される低圧気流の数値解析2012

    • Author(s)
      青木一生
    • Journal Title

      ながれ

      Volume: 31 Pages: 105-110

    • NAID

      110009445179

    • Related Report
      2011 Final Research Report
  • [Journal Article] Rarefied gas flow around a sharp edge induced by atemperature field2012

    • Author(s)
      S. Taguchi and K. Aoki
    • Journal Title

      J. Fluid Mech.

      Volume: 694 Pages: 191-224

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Rarefed gas flow around a sharp edge induced by a temperature field2012

    • Author(s)
      S.Taguchi, K.Aoki
    • Journal Title

      J.Fluid Mech.

      Volume: 694 Pages: 191-224

    • DOI

      10.1017/jfm.2011.536

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numericalanalysis of rarefied gas flow induced around a flat plate with a single heated side2011

    • Author(s)
      S. Taguchi and K. Aoki
    • Journal Title

      Rarefied Gas Dynamics

      Volume: 1333 Pages: 790-795

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Analysis of Rarefied Gas Flow Induced around a Flat Plate with a Single Heated Side2011

    • Author(s)
      S.Taguchi, K.Aoki
    • Journal Title

      Rarefied Gas Dynamics

      Volume: 1,333 Pages: 790-795

    • DOI

      10.1063/1.3562743

    • NAID

      120004920396

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical analysis of rarefied gas flow induced around a flat plate with a single heated side2011

    • Author(s)
      S.Taguchi, K.Aoki
    • Journal Title

      Rarefied Gas Dynamics

      Volume: (印刷中)

    • NAID

      120004920396

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] A simple model for Flows around moving Vanes in Crooke radiometer2012

    • Author(s)
      S. Taguchi and K. Aoki
    • Organizer
      28th International Symposium on Rarefied Gas Dynamics
    • Place of Presentation
      Spain
    • Related Report
      2011 Final Research Report
  • [Presentation] Numerical approach to moving and singular boundary problems in kinetic theory2012

    • Author(s)
      K. Aoki
    • Organizer
      Methods and Models of Kinetic Theory
    • Related Report
      2011 Final Research Report
  • [Presentation] Some considerations on radiometric effects : Rarefied gas flows induced by temperature fields (60min)2011

    • Author(s)
      K.Aoki
    • Organizer
      Fluid Dynamics Seminar at DAMTP
    • Place of Presentation
      Cambridge Univ.(UK)
    • Year and Date
      2011-10-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] 温度場によって誘起される低圧気流の数値解析2011

    • Author(s)
      青木一生
    • Organizer
      Methods and Models of Kinetic Theory
    • Place of Presentation
      大阪大学
    • Related Report
      2011 Final Research Report
  • [Presentation] Some considerations on radiometric effects(Invited Lecture)2011

    • Author(s)
      K. Aoki
    • Organizer
      Workshop : Novel Applications of Kinetic Theory and Computations
    • Place of Presentation
      Brown University, Providence USA
    • Related Report
      2011 Final Research Report
  • [Presentation] Some considerations on radiometric effects(Invited Lecture)2011

    • Author(s)
      K. Aoki
    • Organizer
      NonLinear Hyperbolic Systems of Balance Lawsin Extended Thermodynamics and Kinetic Theory
    • Place of Presentation
      Cortona Italy
    • Related Report
      2011 Final Research Report
  • [Presentation] 加熱平板まわりの希薄気体流:ラジオメータ効果のメカニズム2011

    • Author(s)
      田口智清, 青木一生
    • Organizer
      日本流体力学会年会2011
    • Place of Presentation
      首都大学東京
    • Related Report
      2011 Final Research Report
  • [Presentation] 弱希薄気体中の非一様な表面温度を持つ扁球に働く力2011

    • Author(s)
      高田滋, 青木一生, 友田達規
    • Organizer
      日本流体力学会年会2011
    • Place of Presentation
      首都大学東京
    • Related Report
      2011 Final Research Report
  • [Presentation] Boundary-value problems of the Boltzmann equation : Asymptotic and numerical analyses2011

    • Author(s)
      K. Aoki
    • Organizer
      Conference on Kinetic Theory and Related Fields, Pohang University of Science and Technology
    • Place of Presentation
      Korea
    • Related Report
      2011 Final Research Report
  • [Presentation] Some considerations on radiometric effect (40min)2011

    • Author(s)
      K.Aoki
    • Organizer
      Non-Linear Hyperbolic Systems of Balance Laws in Extended Thermodynamics and Kinetic Theory
    • Place of Presentation
      Cortona (Italy)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Some considerations on radiometric effects (60min)2011

    • Author(s)
      K.Aoki
    • Organizer
      Workshop : Novel Applications of Kinetic Theory and Computations
    • Place of Presentation
      Brown Univ.(USA)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Numerical analysis of rarefied gas flow induced around a flat plate with a single heated side2010

    • Author(s)
      S.Taguchi
    • Organizer
      The 27th International Symposium on Rarefied Gas Dynamics
    • Place of Presentation
      Pacific Globe (USA)
    • Related Report
      2010 Annual Research Report
  • [Presentation] Numerical analysis of rarefied gas flow induced around a flat plate with a single heated side2010

    • Author(s)
      S.Taguchi, K.Aoki
    • Organizer
      The 27th International Symposium on Rarefied Gas Dynamics
    • Place of Presentation
      Pacific Globe (USA)(発表予定)
    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.mfd.me.kyoto-u.ac.jp/member/aoki/aokij.htm

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.mfd.me.kyoto-u.ac.jp/member/aoki/aokii.htm

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.mfd.me.kyoto-u.ac.jp/member/aoki/aokij.htm

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.mfd.me.kyoto-u.ac.jp/member/aoki/aokij.htm

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi