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Lubrication analysis based on consistent direct discretisation and its application to particle-dispersed multiphase flows

Research Project

Project/Area Number 17H03174
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionOsaka University

Principal Investigator

Takeuchi Shintaro  大阪大学, 工学研究科, 准教授 (50372628)

Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2020: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2019: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords潤滑 / 粒子を含む流れ / 離散化 / 潤滑理論 / 埋め込み境界法 / 粒子分散流れ / 潤滑流れ / 粒子流れ
Outline of Final Research Achievements

Aiming at the analysis of transport phenomena occurring in a multiphase flow of dispersed particles, a numerical method is proposed for the lubrication flow occurring in the narrow regions between particles. It was shown that the concept of "consistent direct discretisation" in the finite-difference method is essential for velocity-pressure coupling and capturing a particle-fluid interface, and its effectiveness for the flow analysis in a narrow passage was demonstrated.
The method was extended to permeate flows through membrane, which aims a number of particles covered with a permeable membrane (e.g. biological cells). The uniqueness of the method is imposing the pressure discontinuities at the front and rear sides of the interface to the pressure Poisson equation for coupling the velocity and pressure fields of an incompressible fluid. The proposed method was also proved to be effective for analysing the permeate flow driven by the lubrication-induced pressure.

Academic Significance and Societal Importance of the Research Achievements

従来、多数の粒子を含む流れでは粒子間の狭隘流路における流れを解く際は、解像度の低下が問題であった。提案した手法により狭隘流路の流れを正確に解くために必要な条件が明らかになり、それを数値解析コードに実装するユニークな方法を示した。また、狭隘流路において、壁面圧力から壁垂直方向の圧力分布を構成する数理モデルを提案した。これは従来の潤滑流れ解法の解像度を補う手法と位置付けられる。
さらに、提案した数値解法を膜透過流れの解法へ発展させる過程をとおして、より一般に膜表裏における物理量の不連続性を考慮する方法が明らかになりつつあり、将来的に流れ中の輸送現象の理解に貢献する方法論への展開が期待される。

Report

(5 results)
  • 2021 Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (34 results)

All 2022 2021 2019 2018 2017 Other

All Int'l Joint Research (3 results) Journal Article (17 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 15 results,  Open Access: 4 results) Presentation (13 results) (of which Int'l Joint Research: 11 results,  Invited: 5 results) Funded Workshop (1 results)

  • [Int'l Joint Research] Rensselaer Polytechnic Institute(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University College London(英国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] スウェーデン王立工科大学(スウェーデン)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] 移動や変形を伴う透過膜に対する流体と膜の連成解析法2022

    • Author(s)
      宮内優, 竹内伸太郎, 梶島岳夫
    • Journal Title

      化学工学誌

      Volume: 86 Pages: 105-108

    • Related Report
      2020 Annual Research Report
  • [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
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes2021

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

      Microfluidics and Nanofluidics

      Volume: 25 Issue: 10 Pages: 83-83

    • DOI

      10.1007/s10404-021-02480-5

    • NAID

      120007167649

    • Related Report
      2020 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
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Flow Rate Prediction for a Semi-permeable Membrane at Low Reynolds Number in a Circular Pipe2021

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

      Transport in Porous Media

      Volume: 141 Issue: 1 Pages: 185-199

    • DOI

      10.1007/s11242-021-01716-w

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Extended Reynolds lubrication model for incompressible Newtonian fluid2019

    • Author(s)
      Takeuchi Shintaro、Gu Jingchen
    • Journal Title

      Physical Review Fluids

      Volume: 4 Issue: 11 Pages: 114101-114101

    • DOI

      10.1103/physrevfluids.4.114101

    • NAID

      120006883655

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [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] A relation between membrane permeability and flow rate at low Reynolds number in circular pipe2019

    • Author(s)
      Takeuchi Shintaro、Tazaki Asahi、Miyauchi Suguru、Kajishima Takeo
    • Journal Title

      Journal of Membrane Science

      Volume: 582 Pages: 91-102

    • DOI

      10.1016/j.memsci.2019.03.018

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Estimation of fluid forces on a spherical particle for two-way coupling simulation based on the volume averaging2019

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

      International Journal of Multiphase Flow

      Volume: 113 Pages: 165-178

    • DOI

      10.1016/j.ijmultiphaseflow.2019.01.009

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Vortical flow patterns by the cooperative effect of convective and conductive heat transfers in particle-dispersed natural convection2019

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

      International Journal of Heat and Mass Transfer

      Volume: 130 Pages: 946-959

    • DOI

      10.1016/j.ijheatmasstransfer.2018.10.138

    • NAID

      120006995018

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Direct numerical simulation of turbulent flow above zigzag riblets2018

    • Author(s)
      Okabayashi Kie、Hirai Kenshi、Takeuchi Shintaro、Kajishima Takeo
    • Journal Title

      AIP Advances

      Volume: 8 Issue: 10 Pages: 105227-105227

    • DOI

      10.1063/1.5049714

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interaction problem between fluid and membrane by a consistent direct discretisation approach2018

    • Author(s)
      Takeuchi Shintaro、Fukuoka Hiroki、Gu Jingchen、Kajishima Takeo
    • Journal Title

      Journal of Computational Physics

      Volume: 371 Pages: 1018-1042

    • DOI

      10.1016/j.jcp.2018.05.033

    • NAID

      120006891410

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Influence of Rayleigh number and solid volume fraction in particle-dispersed natural convection2018

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

      International Journal of Heat and Mass Transfer

      Volume: 120 Pages: 250-258

    • DOI

      10.1016/j.ijheatmasstransfer.2017.12.020

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An immersed lubrication model for the fluid flow in a narrow gap region2018

    • Author(s)
      Gu Jingchen、Sakaue Motoki、Takeuchi Shintaro、Kajishima Takeo
    • Journal Title

      Powder Technology

      Volume: 329 Pages: 445-454

    • DOI

      10.1016/j.powtec.2018.01.040

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A numerical approach for particle-vortex interactions based on volume-averaged equations2018

    • Author(s)
      Fukada Toshiaki、Fornari Walter、Brandt Luca、Takeuchi Shintaro、Kajishima Takeo
    • Journal Title

      International Journal of Multiphase Flow

      Volume: 104 Pages: 188-205

    • DOI

      10.1016/j.ijmultiphaseflow.2018.02.019

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 剪断流中のキャノピー層境界における運動量輸送の解析2018

    • Author(s)
      花輪理徳、竹内伸太郎、梶島岳夫
    • Journal Title

      ながれ

      Volume: 36-2 Pages: 75-78

    • Related Report
      2017 Annual Research Report
  • [Journal Article] A numerical method for interaction problems between fluid and membranes with arbitrary permeability for fluid2017

    • Author(s)
      Miyauchi Suguru、Takeuchi Shintaro、Kajishima Takeo
    • Journal Title

      Journal of Computational Physics

      Volume: 345 Pages: 33-57

    • DOI

      10.1016/j.jcp.2017.05.006

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Presentation] A non-Reynolds lubrication model and application to droplet levitation2019

    • Author(s)
      Shintaro Takeuchi, Jingchen Gu, Amaury Barral, Yoshiyuki Tagawa
    • Organizer
      アメリカ物理学会 流体力学部門
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A new immersed stress method based on volume average2019

    • Author(s)
      Toshiaki Fukada, Shintaro Takeuchi, Takeo Kajishima
    • Organizer
      ASME-JSME-KSME Joint Fluids Engineering Conference
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cell structures in natural convection containing neutrally-buoyant conductive particles2019

    • Author(s)
      Shintaro Takeuchi, Jingchen Gu, Takeo Kajishima
    • Organizer
      10th International Conference on Multiphase Flow
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Immersed Boundary Methods for Particle-Laden Flows and Fluid-Structure Interactions with Heat and Mass Transfer2018

    • Author(s)
      Takeo Kajishima and Shintaro Takeuchi
    • Organizer
      ACHEMA2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Vortical structures in natural convection of particle-dispersed two-phase flow2018

    • Author(s)
      Shintaro Takeuchi, Jingchen Gu and Takeo Kajishima
    • Organizer
      The 2nd International Conference on Mechanics (ICM 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Effect of flow disturbance around a particle for fluid force estimation in two-way coupling simulation2018

    • Author(s)
      Toshiaki Fukada, Shintaro Takeuchi and Takeo Kajishima
    • Organizer
      71st Annual Meeting of the APS Division of Fluid Dynamics,
    • Related Report
      2018 Annual Research Report
  • [Presentation] Coupled Effects of Convection and Conduction on Heat Transfer in Solid-Liquid Two-Phase Media Densely Laden with Finite-Sized Particles2018

    • Author(s)
      Jingchen Gu, Shintaro Takeuchi and Takeo Kajishima
    • Organizer
      16th International Heat Transfer Conference (IHTC16)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Mechanisms of oscillation and reversal in particle-dispersed Rayleigh-Benard cells of laminar regime2018

    • Author(s)
      Shintaro Takeuchi
    • Organizer
      The US-Japan Workshop on Bridging Fluid Mechanics and Data Science
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 粒子分散混相流における熱対流の安定性について2018

    • Author(s)
      竹内伸太郎
    • Organizer
      第2回海洋地球科学計算ワークショップ:混相流シミュレーション
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Effect of temperature gradient within the solid particles on the heat transfer in dense particle-dispersed flows2017

    • Author(s)
      Shintaro Takeuchi
    • Organizer
      The 3rd International Conference on Numerical Methods in Multiphase Flows (ICNMMF-III)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Effect of conductive and convective heat fluxes in dense solid-dispersed two-phase flows2017

    • Author(s)
      Jingchen Gu, Shintaro Takeuchi and Takeo Kajishima
    • Organizer
      The 3rd International Conference on Numerical Methods in Multiphase Flows (ICNMMF-III)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Direct numerical simulation on modification of streamwise vortices in turbulent flow above zigzag riblets2017

    • Author(s)
      Kie Okabayashi, Kenshi Hirai, Shintaro Takeuchi and Takeo Kajishima
    • Organizer
      The Ninth JSME-KSME Thermal and Fluids Engineering Conference (TFEC9)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical simulation of axisymmetric laminar flow in rotor-stator cavity2017

    • Author(s)
      Yuki Kodera, Takeo Kajishima, Shintaro Takeuchi and Kie Okabayashi
    • Organizer
      The Ninth JSME-KSME Thermal and Fluids Engineering Conference (TFEC9)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Funded Workshop] 第2回海洋地球科学計算ワークショップ:混相流シミュレーション2018

    • Related Report
      2017 Annual Research Report

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Published: 2017-04-28   Modified: 2023-01-30  

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