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Formation and Collapse of Cavity Network in a Granular Material due to Viscous Flow and Vibration

Research Project

Project/Area Number 16540338
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionTokyo University of Agriculture and Technology

Principal Investigator

OSAMU Sano  Tokyo University of Agriculture and Technology, Dept. Appl. Phys, Professor (80126292)

Project Period (FY) 2004 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥4,080,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥2,100,000 (Direct Cost: ¥2,100,000)
Keywordsgranular material / cavity / critical stress / fluidization / landslide / buckling / bending wave / mesoscopic / 空洞崩壊 / 砂漣 / 渦輪 / 固液相転移 / 曲げ波 / 流量増加 / 構造破壊 / 空洞網形成
Research Abstract

1. We performed experiments and found that the presence of cavity regions in an otherwise uniform granular material gives great influence on the local flow field around that cavity. The stress at the boundary of the cavity is locally enhanced, and the collapse of the latter is induced. We have developed a numerical simulation that can satisfactorily explain our experimental findings. Furthermore we extend our numerical simulation so as to deal with three-dimensional cavities. These results can be applied to the prediction of landslides at the time of heavy rainfall and a new technique to predict anomalously fast convection of contaminants in underground water flow through cavity networks, as well as angiogenesis around tumor cells in the human liver.
2. We studied the generation of ripples and Barchan dunes due to viscous flow over the surface of the granular material. These results are applicable to the prediction of spread of desert area and the control of seabed level in the bay area.
3. Experiments on the collision of a vortex ring on the granular surface were made. We examined the dependence of the strength of the vortex ring on the engraved patterns left on the granular layer at the impingement.
4. Thin layer of granular materials were vertically vibrated, which revealed regular polygonal ripple patterns and undulations. We elucidated the mechanism of the formation of these patterns, and at the same time obtained the critical layer number that showed collective motion like those observed in continuum media. The behavior was partially explained by the buckling and bending motion of thin elastic layer. These studies are expected to bridge the gap between microscopic collision process and macroscopic fluid motion of the granular material, and our works are presented at major international conferences and domestic meetings.

Report

(5 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (55 results)

All 2008 2007 2006 2005 2004

All Journal Article (29 results) (of which Peer Reviewed: 3 results) Presentation (24 results) Book (2 results)

  • [Journal Article] General solution of the Stokes equation in terms of harmonic functions2008

    • Author(s)
      O. Sano
    • Journal Title

      Methods in creeping flow (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] General solution of the Stokes equation in terms of harmonic functions.2008

    • Author(s)
      O., Sano
    • Journal Title

      Methods in creeping flow, Research Signpost, Trivandrum (to be published)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Formation of Barchans and Ripples due to Steady Viscous Flow in an Annular Channel2007

    • Author(s)
      N. Hori, A. Yamada, Y. Oshiro & O. Sano
    • Journal Title

      J. Phys. Soc. Jpn. 76

    • NAID

      110006203514

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Growth and Interaction of Sand Ripples due to Steady Viscous Flow in an Annular Channel2007

    • Author(s)
      Y. Oshiro & O. Sano
    • Journal Title

      J. Phys. Soc. Jpn. 76

    • NAID

      110006532177

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] 同心二重円筒内の定常粘性流による砂漣形成2007

    • Author(s)
      大城悠葵, 堀七菜子, 佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1539

      Pages: 89-99

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary 2006 Annual Research Report
  • [Journal Article] 渦輪の粒状体平面への衝突2007

    • Author(s)
      伊東 木, 佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1539

      Pages: 100-108

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary 2006 Annual Research Report
  • [Journal Article] 粘性流による粒状体中の空洞の崩壊とDDS(Drug Delivery System)への応用2007

    • Author(s)
      佐野 理, 永田裕作
    • Journal Title

      京都大学数理解析研究所講究録 1539

      Pages: 109-119

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary 2006 Annual Research Report
  • [Journal Article] Formation of Barchans and Ripples due to Steady Viscous Flow in an Annular Channel.2007

    • Author(s)
      N., Hori, A., Yamada, Y., Oshiro, O., Sano
    • Journal Title

      J.Phys.Soc.Jpn. 76

    • NAID

      110006203514

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Growth and Interaction of Sand Ripples due to Steady Viscous Flow in an Annular Channel.2007

    • Author(s)
      Y., Oshiro, O., Sano
    • Journal Title

      J.Phys.Soc.Jpn. 76

    • NAID

      110006532177

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Formation of Sand Ripples due to Steady Viscous Flow in an Annular Channel.2007

    • Author(s)
      Y., Oshiro, N., Hori, O., Sano
    • Journal Title

      Lecture Note Kyoto Univ. Res. Inst. Math. Sci. 1539

      Pages: 89-99

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Collision of a Vortex Ring on a Granular Layer.2007

    • Author(s)
      B., Ito, O., Sano
    • Journal Title

      Lecture Note Kyoto Univ. Res. Inst. Math. Sci. 1539

      Pages: 100-108

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Collapse of Cavity Regions in a Granular Medium due to Viscous Flow and Its Application to Drug Delivery System.2007

    • Author(s)
      O., Sano, Y., Nagata
    • Journal Title

      Lecture Note Kyoto Univ. Res. Inst. Math. Sci. 1539

      Pages: 109-119

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Formation of Barchans and Riples due to Steady Viscous Flow in an Annular Channel2007

    • Author(s)
      N.Hori, A.Yamada, Y.Oshiro, O.Sano
    • Journal Title

      J. Phys. Soc. Jpn. 76

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Micro and macroscopic processes on the collapse and growth of cavity regions in a granular material due to viscous flow2006

    • Author(s)
      O.Sano, Y.Nagata
    • Journal Title

      Geomechanics and Geotechnics of particulate Media

      Pages: 429-435

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Collapse and growth of cavity regions in a granular media due to viscous flow2006

    • Author(s)
      O.Sano, Y.Nagata
    • Journal Title

      Phys. Fluids 18

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 単一出口における粒状体の流れやすさの研究2006

    • Author(s)
      民部 剛, 佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1472

      Pages: 150-159

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 鉛直振動する粒状体薄層の曲げ波とさざ波-固液相転移2006

    • Author(s)
      佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1472

      Pages: 246-255

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Collapse and Merging of Cavity Regions in a Granular Material due to Viscous Flow2005

    • Author(s)
      Y.Kaneko, O.Sano
    • Journal Title

      Phys.Fluids 17

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Experiment on Vibration-Induced Pattern Formation of a Vertically Thin Granular Layer2005

    • Author(s)
      K.Kanai, A.Ugawa, O.Sano
    • Journal Title

      J.Phys.Soc.Jpn. 74

      Pages: 1457-1463

    • NAID

      110001979557

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Onset of collapse and growth of cavity region in a granular material due to viscous flow2005

    • Author(s)
      O.Sano, Y.Kaneko
    • Journal Title

      Powders and Grains

      Pages: 1043-1047

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Shape segregation in granular materials : a game of Go where shape beats size and buoyancy2005

    • Author(s)
      H.-G.Matuttis, S.Omata, O.Sano
    • Journal Title

      Powders and Grains

      Pages: 1349-1353

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Dilatancy, buckling, and undulations on a vertically vibrating granular layer2005

    • Author(s)
      O.Sano
    • Journal Title

      Phys.Rev.E 72

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 質点系力学と流体力学のはざまで2005

    • Author(s)
      佐野 理
    • Journal Title

      日本物理学会誌 BUTSURI 60

      Pages: 440-446

    • NAID

      110002078798

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 粒状体中の空洞の流れによる崩壊過程2005

    • Author(s)
      佐野 理, 金子吉文
    • Journal Title

      京都大学数理解析研究所講究録 1413

      Pages: 94-102

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 同心二重円筒内の定常流による砂漣の形成2005

    • Author(s)
      堀七菜子, 佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1413

      Pages: 103-111

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 渦輪の粉粒体表面への衝突2005

    • Author(s)
      古屋隆善, 佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1413

      Pages: 112-121

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 鉛直加振した2次元粒状体粒子の挙動2005

    • Author(s)
      金井謙一, 鵜川亜希子, 佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1413

      Pages: 122-129

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Collapse and Growth of Cavity Region and Network Formation in a Granular Material due to Viscous Fluid.2004

    • Author(s)
      O.Sano, Y.Kaneko, Y.Nagata
    • Journal Title

      Proc.Tenth Asian Cong.of Fluid Mech. (Peradeniya, Sri Lanka)

      Pages: 99-99

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Collapse of Cavity Regions in a Granular Material due to Viscous Flow.2004

    • Author(s)
      O.Sano
    • Journal Title

      Computational Fluid Dynamics Journal 13

      Pages: 515-523

    • Related Report
      2004 Annual Research Report
  • [Presentation] 流れにより誘起される粒状体の流動化と流路形成2007

    • Author(s)
      佐野 理
    • Organizer
      CREST研究集会「ナノ・メゾ・マイクロ流動現象における計算科学」
    • Place of Presentation
      名工大
    • Year and Date
      2007-12-14
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Flow Induced Fluidization and Network Formation in Granular Media.2007

    • Author(s)
      O., Sano
    • Organizer
      Computer Sci. in Nano-Meso-Micro Fluidization
    • Place of Presentation
      Nagoya Inst. Tech., Nagoya.
    • Year and Date
      2007-12-14
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 鉛直に加振した粒状体薄層のパターンの形成とその材質依存性2007

    • Author(s)
      武居 吾空, 佐野 理
    • Organizer
      日本物理学会
    • Place of Presentation
      北大
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] 渦輪の粒状体平面への衝突2007

    • Author(s)
      伊東 木, 佐野 理
    • Organizer
      日本物理学会
    • Place of Presentation
      北大
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] 同心二重円筒内の粘性流による砂漣の発生とその成長2007

    • Author(s)
      大城 悠葵, 佐野 理
    • Organizer
      日本物理学会
    • Place of Presentation
      北大
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Pattern Formation on Vertically Vibrating Thin Granular Layer and Its Material Dependence.2007

    • Author(s)
      A., Takei, O., Sano
    • Organizer
      Cong. Phys. Soc. Jap.
    • Place of Presentation
      Hokkaido Univ., Sapporo.
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Collision of a Vortex Ring on a Granular Plane.2007

    • Author(s)
      B., Ito, O., Sano
    • Organizer
      Cong. Phys. Soc. Jap.
    • Place of Presentation
      Hokkaido Univ., Sapporo.
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Generation and Development of Sand Ripple in an Annular Channel due to Viscous Flow.2007

    • Author(s)
      Y., Oshiro, O., Sano
    • Organizer
      Cong. Phys. Soc. Jap.
    • Place of Presentation
      Hokkaido Univ., Sapporo.
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] DDSのための毛細血管流れの数値シミュレーションモデル2007

    • Author(s)
      永田裕作, 佐野 理
    • Organizer
      日本物理学会
    • Place of Presentation
      北大
    • Year and Date
      2007-09-21
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Numerical Simulation Model of Capillary Flow for DDS (Drug Delivery System).2007

    • Author(s)
      Y., Nagata, O., Sano
    • Organizer
      Cong. Phys. Soc. Jap.
    • Place of Presentation
      Hokkaido Univ., Sapporo.
    • Year and Date
      2007-09-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 鉛直に振動する粒状体薄層の座屈による撓み波と表面波2007

    • Author(s)
      佐野 理
    • Organizer
      京大数理研「オイラー方程式250年:連続体力学におけるオイラーの遺産」研究集会
    • Place of Presentation
      京大数理研
    • Year and Date
      2007-09-13
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Undulation and Ripple on the Vertically Vibrating Thin Granular Layer due to Buckling.2007

    • Author(s)
      O., Sano
    • Organizer
      Symp. Euler Equation 250 Years, Kyoto Univ. Res. Inst. Math. Sci., Kyoto.
    • Year and Date
      2007-09-13
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Network formation of water in a granular material due to viscous flow and its application to drug delivery system2007

    • Author(s)
      O. Sano, Y. Nagata
    • Organizer
      The 23rd IUPAP International Conference on Statistical Physics
    • Place of Presentation
      Genova, Italy
    • Year and Date
      2007-07-12
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Network formation of water in a granular material due to viscous flow and its application to drug delivery system.2007

    • Author(s)
      O., Sano, Y., Nagata
    • Organizer
      The 23rd IUPAP International Conference on Statistical Physics
    • Place of Presentation
      Genova, Italy.
    • Year and Date
      2007-07-12
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Growth of ripples on the sand bed exposed to a shear flow in an annular channel2007

    • Author(s)
      O. Sano, Y. Oshiro
    • Organizer
      Statics and dynamics of granular media and colloidal suspensions
    • Place of Presentation
      Napoli, Italy
    • Year and Date
      2007-07-06
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Growth of ripples on the sand bed exposed to a shear flow in an annular channel.2007

    • Author(s)
      O., Sano, Y., Oshiro
    • Organizer
      Statics and dynamics of granular media and colloidal suspensions
    • Place of Presentation
      Napoli, Italy.
    • Year and Date
      2007-07-06
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 粒子描像と連続体描像のクロスオーバー2007

    • Author(s)
      佐野 理
    • Organizer
      CAMMフォーラム
    • Place of Presentation
      虎ノ門パストラル
    • Year and Date
      2007-04-06
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Crossover between Particle Description and Continuum Description.2007

    • Author(s)
      O., Sano
    • Organizer
      CAMM Forum
    • Place of Presentation
      Toranomon Pastoral, Tokyo.
    • Year and Date
      2007-04-06
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 鉛直加振による粒状体薄層の正方形パターンの形成2007

    • Author(s)
      武居 吾空, 佐野 理
    • Organizer
      日本物理学会
    • Place of Presentation
      鹿児島大
    • Year and Date
      2007-03-21
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 同心二重円筒内の粘性流による砂漣形成2007

    • Author(s)
      大城 悠葵, 佐野 理
    • Organizer
      日本物理学会
    • Place of Presentation
      鹿児島大
    • Year and Date
      2007-03-21
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Formation of the Square Pattern on Vertically Vibrating Thin Granular Layer.2007

    • Author(s)
      A., Takei, O., Sano
    • Organizer
      Cong. Phys. Soc. Jap.
    • Place of Presentation
      Kagoshima Univ., Kagoshima.
    • Year and Date
      2007-03-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Formation of Sand Ripple in an Annular Channel due to Viscous Flow.2007

    • Author(s)
      Y., Oshiro, O., Sano
    • Organizer
      Cong. Phys. Soc. Jap.
    • Place of Presentation
      Kagoshima Univ., Kagoshima.
    • Year and Date
      2007-03-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 粘性流による粒状体中の水路網形成とDDSへの応用2007

    • Author(s)
      佐野 理, 永田裕作
    • Organizer
      日本物理学会
    • Place of Presentation
      鹿児島大
    • Year and Date
      2007-03-20
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Network formation of Waterways in a Granular Material due to Viscous Flow and Its Application to DDS.2007

    • Author(s)
      O., Sano, Y., Nagata
    • Organizer
      Cong. Phys. Soc. Jap.
    • Place of Presentation
      Kagoshima Univ., Kagoshima.
    • Year and Date
      2007-03-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 応用数学ハンドブック2005

    • Author(s)
      藤原毅夫 他編
    • Total Pages
      716
    • Publisher
      丸善
    • Related Report
      2005 Annual Research Report
  • [Book] ながれの事典2004

    • Author(s)
      神部 勉編
    • Total Pages
      824
    • Publisher
      丸善
    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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