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mathematical modelling of a multiple-scale system having a wide and continuous scale-range

Research Project

Project/Area Number 15K13453
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionOkayama University

Principal Investigator

Obuse Kiori  岡山大学, 環境生命科学研究科, 特任助教 (90633967)

Co-Investigator(Renkei-kenkyūsha) SUITO Hiroshi  東北大学, 原子分子材料科学高等研究機構, 教授 (10302530)
AOKI Nobuaki  東北大学, 原子分子材料科学高等研究機構, 助教 (90437244)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords数理モデリング / ナノフルイド / ナノ粒子 / Navier-Stokes方程式 / N体問題 / 混相流 / 数値計算 / 応用数学 / 数値シミュレーション
Outline of Final Research Achievements

1. It was found that although two major approximations based on both the N-body problem and the multi-phase fluid problem give somewhat consistent numerical results with those of experimental data of nano-fluid dynamics, the mechanisms of the appearance of characteristic aspects in numerical data are totally different.
2. Suggested a simple mathematical model for a nano-particle and a wall with a gap in a two-dimensional shear flow. The numerical calculation is now being carried out, and expected to give a simple and clear understandings for the complexed three-dimensional problem.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (9 results)

All 2016 2015 Other

All Presentation (7 results) (of which Int'l Joint Research: 3 results,  Invited: 7 results) Remarks (2 results)

  • [Presentation] 2次元Stokes流体内境界付近における微生物のダイナミクス2016

    • Author(s)
      Kiori Obuse and Jean-Luc Thiffeault
    • Organizer
      流体力学会四国中国支部講演会
    • Place of Presentation
      岡山大学
    • Year and Date
      2016-11-26
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 2次元Stokes 流体内における微生物の挙動2016

    • Author(s)
      小布施祈織
    • Organizer
      現象と数理モデル
    • Place of Presentation
      現象と数理モデル, 姫路キャッスルグランヴィリオホテル
    • Year and Date
      2016-03-07
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Behaviour of treadmilling swimmers in 2D Stokes flow2016

    • Author(s)
      Kiori Obuse and Jean-Luc Thiffeault
    • Organizer
      ACCA meeting
    • Place of Presentation
      Imperial College London
    • Year and Date
      2016-02-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Behaviour of a treadmilling microorganism near a semi-infinite wall2016

    • Author(s)
      Kiori Obuse and Jean-Luc Thiffeault
    • Organizer
      Second International ACCA-JP_UK Worksho
    • Place of Presentation
      京都大学
    • Year and Date
      2016-01-18
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stokes 流体内における微生物のN体問題,2016

    • Author(s)
      小布施祈織
    • Organizer
      Perspectives in Mathematical Sciences
    • Place of Presentation
      岡山大学
    • Year and Date
      2016-01-06
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 微生物の挙動と複素空間内特異点モデル2015

    • Author(s)
      小布施祈織
    • Organizer
      数理モデルとシミュレーション
    • Place of Presentation
      休暇村伊良湖
    • Year and Date
      2015-10-31
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] A low-Reynolds-number treadmilling swimmer near a semi-infinite wall2015

    • Author(s)
      Kiori Obuse and Jean-Luc Thiffeault
    • Organizer
      The 21th Kyoto Univ. Appl. Math. Seminar・ACCA-JP
    • Place of Presentation
      京都大学
    • Year and Date
      2015-07-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Remarks] 岡山大学研究者総覧

    • URL

      http://soran.cc.okayama-u.ac.jp/view?l=ja&u=bc25f905ac824b7a74506e4da22f6611&n=%E5%B0%8F%E5%B8%83%E6%96%BD&sm=name&sl=ja&sp=1

    • Related Report
      2015 Research-status Report
  • [Remarks] 個人ウェブページ

    • URL

      http://www.ems.okayama-u.ac.jp/~obuse/

    • Related Report
      2015 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2019-03-29  

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