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Novel attempt for the generalized slip-flow theory

Research Project

Project/Area Number 18K13684
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 19010:Fluid engineering-related
Research InstitutionKyoto University

Principal Investigator

Hattori Masanari  京都大学, 工学研究科, 助教 (50812765)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywordsすべり流 / 音波 / ボルツマン方程式 / 分子気体力学 / 希薄気体 / 希薄気体力学 / 流体力学
Outline of Final Research Achievements

In the present study, we try to extend the scope of application of the generalized slip-flow theory, which fluid-dynamically describes the behavior of a low-pressure gas or a gas in a small system. Simultaneously, we aim to enrich the numerical database required in that theory, thereby making it easier to access the generalized slip-flow theory. By the asymptotic analysis and the numerical analysis of the Boltzmann and its model equation, a slip-flow theory for the acoustic phenomena has been constructed and the numerical data required in the theory has been obtained for the Shakhov model.

Academic Significance and Societal Importance of the Research Achievements

マイクロ工学で重要な微小系の気体の振舞いは,通常の巨視的流体力学では正確に記述できない.この場合,通常は,微視的立場に立つ分子気体力学が必要になる.しかし,幸いにして,微小系流れの多くは物体表面での気体流速の「すべり」等を考慮して通常の流体力学を適切に補正すれば扱える(すべり流理論).従来,この理論は粘性・熱伝導性が支配的な拡散的現象を主な対象としていた.本研究では,この理論を拡張し,気体中の波動の現象を扱えるようになった.また,理論で必要なデータベースを充実化した.これらの成果は,分野での学術的意義に加え,実際の微小系気体流の解析のための枠組みを増強・整備できたという意義をもつと考えられる.

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (8 results)

All 2021 2020 2019 2018

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (6 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] Sound waves propagating in a slightly rarefied gas over a smooth solid boundary2019

    • Author(s)
      M. Hattori and S. Takata
    • Journal Title

      Physical Review Fluids

      Volume: 4 Issue: 10

    • DOI

      10.1103/physrevfluids.4.103401

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Slip/Jump Coefficients and Knudsen-Layer Corrections for the Shakhov Model Occurring in the Generalized Slip-Flow Theory2019

    • Author(s)
      M. Hattori and S. Takata
    • Journal Title

      Proceedings of 31st International Symposium on Rarefied Gas Dynamics, AIP Conf. Proc.

      Volume: 受理済

    • NAID

      120006716574

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 滑らかな剛体のまわりを占める弱希薄気体中を伝わる音波2021

    • Author(s)
      初鳥匡成,高田滋
    • Organizer
      第3回流体基礎工学研究部門公開セミナー
    • Related Report
      2020 Annual Research Report
  • [Presentation] Sound waves propagating in a slightly rarefied gas over a smooth solid boundary2021

    • Author(s)
      Masanari Hattori
    • Organizer
      JSPS/SAC Seminar: ON GAS KINETIC/DYNAMICS AND LIFE SCIENCE
    • Related Report
      2020 Annual Research Report
  • [Presentation] 振動平板に誘起される希薄気体中の音波2020

    • Author(s)
      初鳥匡成,山崎涼太
    • Organizer
      日本流体力学会年会2020
    • Related Report
      2020 Annual Research Report
  • [Presentation] 滑らかな剛体のまわりを占める弱希薄気体中を伝わる音波2019

    • Author(s)
      初鳥匡成,高田滋
    • Organizer
      日本流体力学会年会2019
    • Related Report
      2019 Research-status Report
  • [Presentation] 一般すべり流理論におけるShakhovモデルに対するとび・すべり係数とKnudsen層補正2018

    • Author(s)
      初鳥匡成,高田滋
    • Organizer
      日本流体力学会年会2018
    • Related Report
      2018 Research-status Report
  • [Presentation] Slip/Jump Coefficients and Knudsen-Layer Corrections for the Shakhov Model Occurring in the Generalized Slip-Flow Theory2018

    • Author(s)
      M. Hattori and S. Takata
    • Organizer
      31st International Symposium on Rarefied Gas Dynamics
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2022-01-27  

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