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Self-similar behaviour in thin film flow

Research Project

Project/Area Number 24740072
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionWaseda University

Principal Investigator

BOWEN Mark  早稲田大学, 理工学術院, 准教授 (30534341)

Project Period (FY) 2012-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywordsself-similarity / thin films / parabolic equations / high-order / self-similar / thin film / fluid mechanics / simulation / 応用数学 / 流体力学
Research Abstract

Working with international collaborators, we have made substantial progress into identifying the role of special (self-similar) solutions to equations arising in the study of surface tension driven thin-film flow. This has led to a number of publications in international journals with additional papers to be submitted in the very near future. The research has also been presented at several international meetings.

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • Research Products

    (11 results)

All 2013 2012 Other

All Journal Article (5 results) (of which Peer Reviewed: 4 results) Presentation (5 results) Remarks (1 results)

  • [Journal Article] On self-similar thermal rupture of thin liquid sheets2013

    • Author(s)
      M. Bowen and B. Tilley
    • Journal Title

      Phys. Fluids

      Volume: 25 Pages: 102105-102105

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On self-similar thermal rupture of thin liquid sheets.2013

    • Author(s)
      M. Bowen and B. Tilley
    • Journal Title

      Physics of Fluids

      Volume: 25 Pages: 102105-102105

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Dynamics of a viscous thread on a non-planar substrate.2013

    • Author(s)
      M. Bowen and J. R. King
    • Journal Title

      Journal of Engineering Mathematics

      Volume: 80 Pages: 39-62

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Thermally induced van der Waals rupture of thin viscous fluid sheets2012

    • Author(s)
      M. Bowen and B. Tilley
    • Journal Title

      Phys. Fluids

      Volume: 24 Pages: 3210-3210

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Thermally induced van der Waals rupture of thin viscous fluid sheets.2012

    • Author(s)
      M. Bowen and B. Tilley
    • Journal Title

      Physics of Fluids

      Volume: 24 Pages: 32106-32106

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Self-similar rupture of thin heated viscous sheets2013

    • Author(s)
      M. Bowen and B. Tilley
    • Organizer
      Industrial Mathematics Seminar
    • Place of Presentation
      University of Nottingham, UK
    • Related Report
      2013 Final Research Report
  • [Presentation] Self-similar rupture of thin heated viscous sheets2012

    • Author(s)
      M. Bowen and B. Tilley
    • Organizer
      APS DFD Annual Meeting 2012
    • Place of Presentation
      San Diego
    • Year and Date
      2012-11-19
    • Related Report
      2013 Final Research Report
  • [Presentation] Self-similar thermally driven rupture of thin fluid sheets2012

    • Author(s)
      M. Bowen and B. Tilley
    • Organizer
      ICTAM 2012
    • Place of Presentation
      中国、北京
    • Year and Date
      2012-08-23
    • Related Report
      2013 Final Research Report
  • [Presentation] Self-similar thermally driven rupture of thin liquid sheets2012

    • Author(s)
      M. Bowen and B. Tilley
    • Organizer
      ICTAM 2012
    • Place of Presentation
      Beijing
    • Related Report
      2012 Research-status Report
  • [Presentation] Self-similar thermally driven rupture of thin liquid sheets2012

    • Author(s)
      M. Bowen and B. Tilley
    • Organizer
      APS DFD 2012
    • Place of Presentation
      San Diego
    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

      http://www.icsep.sci.waseda.ac.jp/faculty/faculty-mark.html

    • Related Report
      2013 Final Research Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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