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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 13640397
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物理学一般
Research InstitutionTokyo University of Agriculture and Technology

Principal Investigator

SANO Osamu  National University Corporation Tokyo University of Agriculture and Technology, Institute of Symbiotic Science and Technology, Professor, 大学院・共生科学技術研究部, 教授 (80126292)

Co-Investigator(Kenkyū-buntansha) 鈴木 勝博  東京農工大学, 工学部, 助手 (40293013)
Project Period (FY) 2001 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2003: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 2002: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2001: ¥2,600,000 (Direct Cost: ¥2,600,000)
Keywordsgranular material / cavity / volume rate enhancement / critical stress / collapse / cavity network formation / buckling / bending wave / 地下水測定 / 地滑り / セルオートマトン
Research Abstract

The presence of cavity regions in an otherwise uniform granular material makes great influence on the local flow field around that cavity. We have already shown that the volume flow rate and the velocity at the center of the latter attains as large as two (three) times and three (six) times for a cylindrical (spherical) cavity, respectively, in comparison to the case without a cavity. At the same time, the local stress at the boundary of the cavity is enhanced, and the collapse of the latter is induced. We have also shown qualitatively that these effects are increased in the presence of many cavities with certain configurations. In order to examine these findings quantitatively, we performed new experiments and numerical simulations.
1.Experiments on the collapse of cavities due to viscous flow : We observed the rate of change and the critical velocity of the collapse of two interacting cavities. By changing the center-to-center distance and the orientation of the two cavities, we eluci … More dated the fundamental process of the collapse of cavities, as well as the configurations in which the collapse occurs below the critical velocity of collapse for a single cavity case. 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.
2.Mathematical models of cavity network formation : We performed numerical simulation of the interaction of many cavities exposed to viscous flow, on the basis of cellular-automaton type model. Our model can explain the movement, elongation and merging of cavities, depending on the stiffness of the medium and the applied velocity, which eventually forms large-scale network of cavity regions or fluidization.
3.Experiments on the deformation of granular surface : We observed regularly spaced ripples and Barchan dunes depending on the shear rate of 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.
4.Experiments on the collision of vortex ring on the granular surface : Typical ring-like crater with a wavy edge or a lobe was generated, that can explain the Rampart crater observed only on Mars. This observation suggests the presence of fluid flow at the earlier time of Mars' environment as well as the mechanism of this crater formation.
5.Experiments on the pattern formation of vertically vibrating granular layer : Thin layer of granular materials were vertically vibrated, which revealed ripples 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.
All our 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 four major international conferences and domestic meetings. Less

Report

(4 results)
  • 2004 Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (55 results)

All 2005 2004 2003 2002 Other

All Journal Article (29 results) Book (6 results) Publications (20 results)

  • [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

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [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

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [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

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [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

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [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

      Pages: 33102-33102

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Collapse Process of Cavity Regions in a Granular Material due to Viscous Flow2005

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

      Lecture Note Research Inst.Math.Sci.Kyoto Univ. 1413

      Pages: 94-102

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Formation of Sand Ripples due to Steady Viscous Flow In a Concentric Cylindrical Domain2005

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

      Lecture Note Research Inst.Math.Sci.Kyoto Univ. 1413

      Pages: 103-111

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Collision of a Vortex Ring on Granular Surface2005

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

      Lecture Note Research Inst.Math.Sci.Kyoto Univ. 1413

      Pages: 112-121

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Behavior of Granular particles in a Vertically Vibrating Two-Dimensional Layer2005

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

      Lecture Note Research Inst.Math.Sci.Kyoto Univ. 1413

      Pages: 122-129

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [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

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [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

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Two-Dimensional Viscous Flow in a Granular Material with a Void of Arbitrary Shape.2003

    • Author(s)
      G.P.RajaSekhar, O.Sano
    • Journal Title

      Phys.Fluids 15

      Pages: 554-567

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Experimental Study on the Interaction of Two Two-Dimensional Circular Holes Placed in a Uniform Viscous Flow in a Porous Medium2003

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

      Fluid Dyn.Res 32

      Pages: 15-27

    • NAID

      80015781658

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Undulation of a Thin Granular Layer Induced by Vertical Vibration2003

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

      J.Phys.Soc.Jpn. 72

      Pages: 1390-1395

    • NAID

      110001954550

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Collapse and Growth of Cavity in a Granular Material due to Viscous Flow.2003

    • Author(s)
      O.Sano
    • Journal Title

      Theoret.Appl.Mech. 52

      Pages: 91-96

    • NAID

      130004463543

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Deformation of a Neutrally Buoyant Drop of Magnetic Fluid Excited Nonintrusively by an External Magnetic Field.2003

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

      Forma 18

      Pages: 113-148

    • NAID

      10011937736

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 流れによる粒状体空洞の変形と地下水路網の形成2003

    • Author(s)
      佐野 理
    • Journal Title

      国際高等研究所報告書「巨視的乱雑系の力学」 204

      Pages: 21-28

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 鉛直に加振した粒状体薄層の座屈と曲げ波2003

    • Author(s)
      鵜川 亜希子, 佐野 理
    • Journal Title

      京都大学数理解析研究所講究録 1305

      Pages: 100-110

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 流れによる粒状体空洞の変形と地下水路網の形成2003

    • Author(s)
      佐野 理, 金子吉文, G.P.RajaSekhar
    • Journal Title

      京都大学数理解析研究所講究録 1305

      Pages: 203-213

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Two-Dimensional Viscous Flow in a Granular Material with a Void of Arbitrary Shape.2003

    • Author(s)
      G.P.RajaSekha, O.Sano
    • Journal Title

      Phys.Fluids 15

      Pages: 554-567

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Experimental Study on the Interaction of Two Two-Dimensional Circular Holes Placed in a Uniform Viscous Flow in a Porous Medium.2003

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

      Fluid Dyn.Res. 32

      Pages: 15-27

    • NAID

      80015781658

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Undulation of a Thin Granular Layer Induced by Vertical Vibration.2003

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

      J.Phys.Soc.Jpn. 72

      Pages: 1390-1395

    • NAID

      110001954550

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Deformation of a Neutrally Buoyant Drop of Magnetic Fluid Excited Non-intrusively by an External Magnetic Field2003

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

      Forma 18

      Pages: 133-148

    • NAID

      10011937736

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Deformation of Cavity Regions and Network Formation of Waterways in a Granular Material due to Viscous Flow2003

    • Author(s)
      O.Sano
    • Journal Title

      Res.Rep.Intern.Inst.Adv.Stud. 204

      Pages: 21-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Buckling and Bending Wave of Vertically Vibrating Thin Granular Layer2003

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

      Lecture Note Research Inst.Math.Sci.Kyoto Univ. 1305

      Pages: 100-110

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Deformation of Cavity Region and Waterway Network Formation in Granular Material due to Viscous Fluid2003

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

      Lecture Note Research Inst.Math.Sci.Kyoto Univ. 1305

      Pages: 203-213

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Collapse of Void Region and Network Formation of Water in a Granular Material Due to Viscous Fluid.2002

    • Author(s)
      O.Sano, G.P.RajaSekhar
    • Journal Title

      Proc.Nineth Asian Cong.Fluid Mech.(Isfahan, Iran)

      Pages: 105-105

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dispersion-Relation of Standing Waves on a Vertically Oscillated Thin Granular Layer.2002

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

      J.Phys.Soc.Jpn. 71

      Pages: 2815-2819

    • NAID

      110001954142

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dispersion Relation of Standing Waves on a Vertically Oscillated Thin Granular Layer.2002

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

      J.Phys.Soc.Jpn. 71

      Pages: 2815-2819

    • NAID

      110001954142

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] ながれの事典2004

    • Author(s)
      佐野 理, 神部 勉編
    • Total Pages
      824
    • Publisher
      丸善
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] Handbook of Flows2004

    • Author(s)
      O.Sano(ed.T.Kambe)
    • Total Pages
      824
    • Publisher
      Maruzen Co., Ltd.
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] かたちの事典2003

    • Author(s)
      佐野 理, 高木隆司 編
    • Total Pages
      928
    • Publisher
      丸善
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] Handbook of Form2003

    • Author(s)
      O.Sano(ed.R.Takaki)
    • Total Pages
      928
    • Publisher
      Maruzen Co., Ltd.
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] 連続体力学2002

    • Author(s)
      佐野 理
    • Total Pages
      203
    • Publisher
      朝倉書店
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] Continuum Mechanics2002

    • Author(s)
      O.Sano
    • Total Pages
      203
    • Publisher
      Asakura Shoten
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] G.P.RajaSekhar: "Two-Dimensional Viscous Flow in a Granular Material with a Void of Arbitrary Shape"Phys.Fluids. 15,2. 554-567 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Kaneko: "Experimental Study on the Interaction of Two Two-Dimensional Circular Holes Placed in a Uniform Viscous Flow in a Porous Medium"Fluid Dyn.Res.. 32,1. 15-27 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] A.Ugawa: "Undulation of a Thin Granular Layer Induced by Vertical Vibration"J.Phys.Soc.Jpn.. 72,6. 1390-1395 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] O.Sano: "Collapse and Growth of Cavity in a Granular Material due to Viscous Flow"Theoretical and Applied Mechanics. 52. 91-96 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Sato: "Deformation of a Neutrally Buoyant Drop of Magnetic Fluid Excited Non-intrusively by an External Magnetic Field"Forma. 18,3. 133-148 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 高木隆司 編: "形の科学事典"丸善. 928 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 神部 勉 編: "ながれの事典"丸善. 824 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] O.Sano: "Collapse of Void Region and Network Formation of Water in a Granular Material due to Viscous Fluid"Proc.Nineth Asian Cong.Fluid Mech.(Isfahan, Iran). 105 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Ugawa: "Dispersion Relation of Standing Waves on a Vertically Oscillated Thin Granular Layer"J.Phys.Soc.Jpn.. 71・11. 2815-2819 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] G.P.RajaSekhar: "Two-Dimensional Viscous Flow in a Granular Material with a Void of Arbitrary Shape"Phys.Fluids. 15・2. 554-567 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Kaneko: "Experimental Study on the Interaction of Two Two-Dimensional Circular Holes"Fluid Dyn.Res.. 32・1. 15-27 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 鵜川 亜希子: "鉛直に加振した粒状体薄層の座屈と曲げ波"京都大学数理解析研究所講究録. 1305. 100-110 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 佐野 理: "流れによる粒状体空洞の変形と地下水路網の形成"京都大学数理解析研究所講究録. 1305. 203-213 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 佐野 理: "基礎物理学シリーズ12 連続体力学"朝倉書店. 202 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] G.P.RajaSekhar: "Two-Dimensional Viscous Flow past a Slightly Deformed Circular Cavity in a Porous Media"Fluid Dynamics Research. 28. 281-293 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] A.Ugawa: "Pattern formation of thin granular layer due to vertical vibration"Proc. 4th Intern. Conf. Micromech, Granular Media. 537-540 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Berszi: "Snake Patterns in Eurasia/Japan and Their Implications"Forma. 16. 279-287 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] G.P.RajaSekhar: "粒状体中の水路網自己形成の素過程"京都大学数理解析研究所講究録. 1184. 13-29 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 鵜川亜希子: "鉛直に加振した粒状体薄層における準結晶的パターン"京都大学数理解析研究所講究録. 1184. 189-200 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 佐野理: "連続体力学"朝倉書店. 203 (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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