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Study of non-similarity in multiphase turbulent transport on the basis of unified averaging equations

Research Project

Project/Area Number 19H02066
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 19010:Fluid engineering-related
Research InstitutionOsaka University

Principal Investigator

Kajishima Takeo  大阪大学, 大学院基礎工学研究科, 招へい教授 (30185772)

Co-Investigator(Kenkyū-buntansha) 竹内 伸太郎  大阪大学, 大学院工学研究科, 教授 (50372628)
Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2023: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2022: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2021: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2020: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2019: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Keywords流体工学 / 混相流 / 乱流 / 粒子 / 数値シミュレーション
Outline of Research at the Start

流体の中に多数の固体粒子が分散した流れは工業装置や自然界あるいは生体内に幅広く観察され、ほとんどは乱流の状態にある。これを分散性混相乱流という。この流動を統一的に扱う数値シミュレーション手法が確立されれば、現象の解明にとどまらず、優れた輸送機能を有する媒体の開発、装置の設計、現象の制御にも強力な手段となる。本研究は、分散粒子と乱流に対してそれぞれ発展してきた理論的な扱い(数理モデル)を統合できる体積平均方程式系を確立し、例えば(流体だけでは相反する)抵抗低減と伝熱促進を両立させる混相乱流輸送現象を新規に見出し、そのメカニズムを解明することにより、提案する手法の有用性を検証する試みである。

Outline of Final Research Achievements

As a proper basis of numerical method for multiphase turbulent flows, we derived an integrated average equation based on local volume averaging for direct and large-eddy simulations of particle-laden turbulent flows. The solid-fluid interaction force terms and subgrid-scale stress terms within the control volume were extracted. It was verified that the framework of our integrated average equation is effective for our purpose, within the condition in which existing models can be applied. As an application example, we attempted to explore the conditions for non-similar transport of momentum and heat in solid-liquid two-phase turbulent flows. But, we faced the necessity to simulate the collective behavior of particles laden in at high concentrations. Then, in order to deal with the conditions with a realistic computational capacity, we constructed and implemented an extended lubrication model that can be applied to narrow passages between particles.

Academic Significance and Societal Importance of the Research Achievements

混相流と乱流の数値シミュレーションでは従来、それぞれの分野で慣用的な(しばしば明確に定義されていない)平均化方程式と物理モデルが用いられてきた。多相系の乱流に対しては、それぞれの既存のモデルの欠陥だけでなく、単純な組み合わせによる不整合が解消されていないため、普遍的な解析方法が確立されていない。本研究で導出した統合平均方程式は、放置されてきたこれらの問題を解決する指針を与える。
省エネルギーに寄与する流動抵抗の低減と伝熱の促進の両立は、単相流では困難であるが、混相状態にすれば実現できるかもしれない。本研究は、運動量と熱の非相似輸送条件を探索するための数値シミュレーション法の構築の基盤となる。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (21 results)

All 2024 2023 2022 2021 2020 2019

All Journal Article (9 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 7 results,  Open Access: 2 results) Presentation (12 results) (of which Int'l Joint Research: 6 results,  Invited: 3 results)

  • [Journal Article] 流れの数値シミュレーション 2. 平均操作と乱流モデル2024

    • Author(s)
      梶島岳夫
    • Journal Title

      ながれ

      Volume: 43 Pages: 33-40

    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Higher order lubrication model between slip walls2023

    • Author(s)
      Takeuchi Shintaro、Omori Takeshi、Fujii Takehiro、Kajishima Takeo
    • Journal Title

      Microfluidics and Nanofluidics

      Volume: 27 Issue: 7

    • DOI

      10.1007/s10404-023-02644-5

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 流れの数値シミュレーション 1. 保存則の計算2023

    • Author(s)
      梶島岳夫
    • Journal Title

      ながれ

      Volume: 42 Pages: 330-337

    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Particle subgrid stress models for large Stokes numbers in particle-laden turbulence2022

    • Author(s)
      Toshiaki Fukada, Shintaro Takeuchi, Kajishima Takeo
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 946

    • DOI

      10.1017/jfm.2022.593

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Lubrication pressure model in a non-negligible gap for fluid permeation through a membrane with finite permeability2021

    • Author(s)
      Takeuchi Shintaro、Fukada Toshiaki、Yamada Shuji、Miyauchi Suguru、Kajishima Takeo
    • Journal Title

      Physical Review Fluids

      Volume: 6 Issue: 11 Pages: 114101-114101

    • DOI

      10.1103/physrevfluids.6.114101

    • NAID

      120007168688

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effect of lubrication in the non-Reynolds regime due to the non-negligible gap on the fluid permeation through a membrane2021

    • Author(s)
      Takeuchi Shintaro、Miyauchi Suguru、Yamada Shuji、Tazaki Asahi、Zhang Lucy T、Onishi Ryo、Kajishima Takeo
    • Journal Title

      Fluid Dynamics Research

      Volume: 53 Issue: 3 Pages: 035501-035501

    • DOI

      10.1088/1873-7005/abf3b4

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Anisotropic Reaction Force Model in Two-way Coupling Simulation for a Smaller Particle Than Grid Spacing Based on Volume Averaging2020

    • Author(s)
      Fukada Toshiaki、Takeuchi Shintaro、Kajishima Takeo
    • Journal Title

      Flow, Turbulence and Combustion

      Volume: 105 Issue: 4 Pages: 1017-1034

    • DOI

      10.1007/s10494-020-00142-0

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Flow reversals in particle-dispersed natural convection in a two-dimensional enclosed square domain2019

    • Author(s)
      Takeuchi Shintaro、Miyamori Yuri、Gu Jingchen、Kajishima Takeo
    • Journal Title

      Physical Review Fluids

      Volume: 4 Issue: 8 Pages: 084304-084304

    • DOI

      10.1103/physrevfluids.4.084304

    • NAID

      120006775312

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Immersed boundary/solid method for the numerical simulation of particle-laden flows2019

    • Author(s)
      Takeo Kajishima
    • Journal Title

      Fluid Dynamics Research

      Volume: 51 Issue: 5 Pages: 051401-051401

    • DOI

      10.1088/1873-7005/ab27e7

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Presentation] Numerical method for inter-particle flow with immersed pressure solution of lubrication2023

    • Author(s)
      Shuntaro Houri
    • Organizer
      ASME-JSME-KSME Joint Fluids Engineering Conference
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Heat transfer in particle-laden flow considering temperature gradient within the particles and radiative heat transfer2023

    • Author(s)
      Kento Hashimoto
    • Organizer
      ASME-JSME-KSME Joint Fluids Engineering Conference
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical method for capturing interaction forces between fluids and solid objects with immersed pressure solution of lubrication2023

    • Author(s)
      Shuntaro Houri
    • Organizer
      10th International Symposium on Turbulence, Heat and Mass Transfer 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Heat transfer in natural convection with conductive particles considering radiative heat transfer2023

    • Author(s)
      Kento Hashimoto
    • Organizer
      10th International Symposium on Turbulence, Heat and Mass Transfer 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 二相乱流のLarge-Eddy Simulationに向けて2022

    • Author(s)
      梶島岳夫
    • Organizer
      日本機械学会 第100期流体工学部門講演会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 二次元正方形キャビティ内の熱伝導性固体粒子を含む自然対流における輻射伝熱の影響2022

    • Author(s)
      橋本健人
    • Organizer
      第36回数値流体力学シンポジウム
    • Related Report
      2022 Annual Research Report
  • [Presentation] 界面垂直方向圧力分布を考慮した潤滑モデルを埋め込む粒子流れ解法2022

    • Author(s)
      祝峻太郎
    • Organizer
      第36回数値流体力学シンポジウム
    • Related Report
      2022 Annual Research Report
  • [Presentation] 乱流のLarge Eddy Simulationの課題2020

    • Author(s)
      梶島岳夫
    • Organizer
      日本機械学会年会2020
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 埋め込み境界法を用いた潤滑が支配的な流れ場における膜透過流束の解析2020

    • Author(s)
      山田修司
    • Organizer
      第34回数値流体力学シンポジウム
    • Related Report
      2020 Annual Research Report
  • [Presentation] A new immersed stress method based on volume average2019

    • Author(s)
      Toshiaki Fukada, Shintaro Takeuchi, Takeo Kajishima
    • Organizer
      ASME-JSME-KSME 2019 Joint Fluids Engineering Conference
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] LES of Complex Turbulent Flows2019

    • Author(s)
      Takeo Kajishima
    • Organizer
      Urban Big Data & Simulation Forum 2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] Discussion of subgrid scale models for the large eddy simulation with highly non-uniform grid2019

    • Author(s)
      Takeo Kajishima, Hui Tang, Firdaus Mohamad, Kie Okabayashi
    • Organizer
      Asian Pacific Congress on Computational Mechanics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited

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Published: 2019-04-18   Modified: 2025-01-30  

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