Studies on rarefied gas flows via an accurate finite-difference analysis of the Boltzmann equation

• Project/Area Number: 21760129
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Fluid engineering
• Research Institution: Kyoto University
• Principal Investigator: 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: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: ボルツマン方程式 / 希薄気体力学 / 分子気体力学 / 気体分子運動論 / 自由分子気体 / イオ / 惑星大気 / 数値流体力学 / 気体分子運動諭

Research Abstract

(1) Steady behavior of a free-molecular gas(a highly rarefied gas in which the molecular collisions can be neglected) between parallel plates with non-uniform temperature is analyzed to clarify the dependence of the flow field on the boundary condition. Moreover, a new example where no steady flow is induced is investigated.
(2) The behavior of Io's atmosphere is studied via a finite-difference analysis of a model Boltzmann equation. Unsteady flows caused by condensation and sublimation of sulfur dioxide(the main component of the atmosphere) during and after eclipse are obtained.

Research Products

• [Journal Article] Steady flows of a highly rarefied gas induced by nonuniform wall temperature (2011)
  • Author(s): Shingo Kosuge, Kazuo Aoki, Shigeru Takata, Ryosuke Hattori, Daisuke Sakai
  • Journal Title: Physics of Fluids Volume: 23巻 Issue: 3
  • DOI: 10.1063/1.3558872
  • NAID: 120004754327
  • Peer Reviewed
• [Journal Article] Steady flows of a highly rarefied gas induced by nonuniform wall temperature (2011)
  • Author(s): 小菅真吾
  • Journal Title: Physics of Fluids Volume: 23
  • NAID: 120004754327
  • Peer Reviewed
• [Presentation] 食の間の凝縮・昇華に伴うイオの大気の非定常流:モデル・ボルツマン方程式の数値解析 (2011)
  • Author(s): 小菅真吾
  • Organizer: 日本流体力学会年会2011
  • Place of Presentation: 首都大学東京南大沢キャンパス
  • Year and Date: 2011-09-08
• [Presentation] 微量な非凝縮性気体がイオの大気の昇華過程に及ぼす影響:モデル・ボルツマン方程式による数値解析 (2010)
  • Author(s): 小菅真吾
  • Organizer: 第24回数値流体力学シンポジウム
  • Place of Presentation: 慶應義塾大学日吉キャンパス
  • Year and Date: 2010-12-20
• [Presentation] 微量な非凝縮性気体がイオの大気の昇華過程に及ぼす影響:モデル・ボルツマン方程式による数値解析 (2010)
  • Author(s): 小菅真吾
  • Organizer: 第24回 数値流体力学シンポジウム
  • Place of Presentation: 慶應義塾大学 日吉キャンパス
  • Year and Date: 2010-12-20
• [Presentation] Steady flows of a highly rarefied gas induced by non-uniform temperature of a boundary (2009)
  • Author(s): 小菅真吾
  • Organizer: DSMC09 : Theory, Methods, and Applications
  • Place of Presentation: サンタフェ、アメリカ
  • Year and Date: 2009-09-14
• [Presentation] Steady flows of a highly rarefied gas induced by non-uniform temperature of a boundary (2009)
  • Author(s): 小菅真吾
  • Organizer: DSMC09 : Theory, Methods, and Applications
  • Place of Presentation: Inn and Spa at Loretto(サンタフェ,アメリカ)
  • Year and Date: 2009-09-14
• [Presentation] 境界の温度分布により誘起される高度に希薄な気体の定常流 (2009)
  • Author(s): 小菅真吾
  • Organizer: 日本流体力学会年会2009
  • Place of Presentation: 東洋大学白山キャンパス
  • Year and Date: 2009-09-02
• [Presentation] 境界の温度分布により誘起される高度に希薄な気体の定常流 (2009)
  • Author(s): 小菅真吾
  • Organizer: 日本流体力学会年会2009
  • Place of Presentation: 東洋大学・白山キャンパス(東京)
  • Year and Date: 2009-09-02
• [Presentation] Steady flows of a highly rarefied gas induced by non-uniform temperature of a boundary (2009)
  • Author(s): 小菅真吾
  • Organizer: 21^<st> International Conference on Transport Theory
  • Place of Presentation: トリノ工科大学(トリノ、イタリア)
  • Year and Date: 2009-07-13
• [Presentation] Steady flows of a highly rarefied gas induced by non-uniform temperature of a boundary (2009)
  • Author(s): 小菅真吾
  • Organizer: 21st International Conference on Transport Theory
  • Place of Presentation: トリノ工科大学(トリノ,イタリア)
  • Year and Date: 2009-07-13