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Kinetic studies on the mass and heat transfers in a gas between coaxial circular cylinders with nonuniform surface properties

Research Project

Project/Area Number 18K03949
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 19010:Fluid engineering-related
Research InstitutionTottori University

Principal Investigator

DOI Toshiyuki  鳥取大学, 工学研究科, 准教授 (00227688)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2020: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2019: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords気体分子運動論 / 希薄気体力学 / マイクロ流体力学 / 気体表面相互作用 / 希薄気体流 / 表面物性 / 潤滑 / 相反関係 / 気体-表面相互作用
Outline of Final Research Achievements

Flows of a gas through a small channel with a non-uniform surface property are studied based on kinetic theory of the gas (the Boltzmann equation). Mass and energy transfers due to the non-uniformness of the surface property and their reciprocity relations are studied numerically. Lubrication flow of a gas between two bodied in a relative motion placed at a distance of less than 0.1 micron is studied, and a macroscopic lubrication theory that is applicable in the presence of an arbitrary temperature difference is derived. It was confirmed that the result of this lubrication theory agrees well with the numerical solution of the Boltzmann equation.

Academic Significance and Societal Importance of the Research Achievements

小さな系の流れにおける、壁面の表面物性の非一様性によって引き起こされる物質やエネルギーの流れと、それらの間に成り立つ関係の研究を通して、非平衡気体の流れの解の構造を理論的に解明した。また、0.1ミクロン以下のマイクロ潤滑を、従来の巨視的潤滑理論と同程度の容易さで取り扱える新しい潤滑理論を構築した。これらの研究は、超小型電子部品の冷却や、次世代ハードディスクの磁気ディスク/磁気ヘッドの潤滑設計等に広く役立てることができると期待される。

Report

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

    (5 results)

All 2021 2020 2019

All Journal Article (4 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 4 results,  Open Access: 1 results) Presentation (1 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] A model of micro lubrication between two walls with unequal temperature distribution based on kinetic theory2021

    • Author(s)
      Toshiyuki Doi
    • Journal Title

      Physics of Fluids

      Volume: 33 Issue: 3 Pages: 032014-032014

    • DOI

      10.1063/5.0041675

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Poiseuille flow and thermal transpiration of a rarefied gas between plane parallel walls with nonuniform surface properties: integral equation approach2020

    • Author(s)
      Toshiyuki Doi
    • Journal Title

      Fluid Dynamics Research

      Volume: 52 Issue: 1 Pages: 015502-015502

    • DOI

      10.1088/1873-7005/ab523b

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A model of micro lubrication between two walls with an arbitrary temperature difference based on kinetic theory2020

    • Author(s)
      Toshiyuki Doi
    • Journal Title

      Physics of Fluids

      Volume: 32 Issue: 5 Pages: 052005-052005

    • DOI

      10.1063/5.0004994

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Flows of a Rarefied Gas between Coaxial Circular Cylinders with Nonuniform Surface Properties2019

    • Author(s)
      Toshiyuki Doi
    • Journal Title

      Open Journal of Fluid Dynamics

      Volume: 9 Issue: 01 Pages: 22-48

    • DOI

      10.4236/ojfd.2019.91002

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] A model of micro lubrication between two walls with an arbitrary temperature distribution based on kinetic theory2020

    • Author(s)
      Toshiyuki Doi
    • Organizer
      2020 Division of Fluid Dynamics 73rd Annual Meeting, American Physical Society
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research

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

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