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1987 Fiscal Year Final Research Report Summary

Critical Velocity and Turbulence in Superfluid Liquid Helium

Research Project

Project/Area Number 60540225
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 物性一般(含極低温・固体物性に対する理論)
Research InstitutionNagoya University

Principal Investigator

YAMADA Kazuo  Professor, College of General Education, Nagoya University, 教養部, 教授 (10022542)

Co-Investigator(Kenkyū-buntansha) HONDA Katsuya  Research Assistant, Faculty of Technology, Nagoya University, 工学部, 教務員 (50109302)
KURODA Yoshihiro  Associate Professor, Faculty of Science, Nagoya University, 理学部, 助教授 (60013504)
MIYAKE Kazumasa  Associate Professor, College of General Education, Nagaoya University, 教養部, 助教授 (90109265)
KANO Yutaka  Professor, College of General Education, Nagoya University, 教養部, 教授 (60023561)
KASHIWAMURA Shohei  Professor, College of General Education, Nagoya University, 教養部, 教授 (80023563)
Project Period (FY) 1985 – 1987
KeywordsSuperfluid / Liquid ^4He and ^3He / Critical velocity / Vortex line / Superfluid turbulence / Couette-Jaylar flow / Covette-Taylar流
Research Abstract

(1) Stochastic theory of vortex tangle in superfluid turbulence was developed.The extended Vinen equation for the vortex line length density and two fluid hydrodynamical equation including the generalized form of mutual friction force were obtained. Further the existence of eddy viscosity was predicted.
(2) It was confirmed that some particular solutions in non-steady and non-uniform cases of Vinen equation correspond well to various turbulent patterns observed in capillary flows.
(3) It was predicted that the appearance of eddy viscosity gives the interpretation of excess pressure difference observed in capillary flows as well as the interaction between boundary and vortex lines.
(4) Linear instability in Couette-Taylar flow was examined on the basis of generalized two fluid hydrodynamical equations. It was shown that the result did not qualitatively agree to both magnitude and temperature dependence of the observed critical Taylar number. This result suggests that the eddy viscosity should be taken into account.
(5) The possibility occuring of new condensed phase of superfluid ^3He was examined when it is put into the finite region. It was shown from variational calculation that the stabilization of B-phase is realized in place of A-phase due to size effect, and the planar state may appear under some boundary condition on the wall.
(6) Superfluidity of ^4He film absorbed in the restricted geometry was intestigated. It was shown that in ^4He within zeolite the disappearance of Bose statistics leads to the decrease of transition temperature, and in^4He in Vycor glass and the sintered metallic fine particles interaction between vortex pairs becomes one dimensional and as a result agrees to the observed results qualitatively.

  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] 山内,淳: Physica. B128. 45 (1985)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 豊木博泰: Prog.Theor.Phys.78. 237 (1987)

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  • [Publications] 佐野和博: Jour.Phys.Soc.Jpn.56. 1920 (1987)

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  • [Publications] 蓑口友紀: Prog.Theor.Phys.78. 552 (1987)

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  • [Publications] 蓑口友紀: Proc.18th Int.Conf.on Low Temp.Phys.Kyoto Japanese Jour.Appl.Phts.Vol.26.Suppl.26-3. 327 (1987)

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  • [Publications] 高木文夫: Prog.Theor.Phys.78. 562 (1987)

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  • [Publications] 高木文夫: Proc.18th Int.Conf.on Low Temp.Phys.Kyoto Japanese Jour.Appl.Phys.Vol.26.Suppl.26-3. 139 (1987)

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  • [Publications] 高木文夫: Prog.Theor.Phys.Letter.79. (1988)

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  • [Publications] 山田一雄: Proc.18th Int.Conf.on Low Temp.Phys.Kyoto Japanese Jour.Appl.Phys.Vol.26.Suppl.26-3. 95 (1987)

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  • [Publications] 柏村昌平: Proc.18th Int.Conf.on Low Temp.Phys.Kyoto Japanese Jour.Appl.Phys.Vol.26.Suppl.26-3. 97 (1987)

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  • [Publications] 山田一雄: Physica.

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  • [Publications] H.van Beelen: Physica.

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  • [Publications] J. Yamauchi and K. Yamada: "Effects of Boundary-Vortex Force in Capillary Flow of Superfluid Helium." Physica. 128B, No.1. 45 (1985)

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  • [Publications] H. Toyoki and K. Honda: "Ordering Dynamics of a Deeply Quenched Complex Field." Prog. Theor. Phys.78, No.2. 237 (1987)

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  • [Publications] K. Sano, I. Doi and T. Minoguchi: "Study on the Superfluid Transition Temperature of ^4He in Zeolite by the Quantum Lattice Gas model." J. Phys. Soc. Jpn.56, No.6. 1920 (1987)

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  • [Publications] T. Minoguchi and Y. Nagaoka: "On the Superfluid Transition of ^4He in Restricted Geometries." Prog. Theor. Phys.78, No.3. 552 (1987)

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  • [Publications] T. Minoguchi and Y. Nagaoka: "Superfluid Transition of ^4He Film Adsorbed on Packed Fine Powder." Proc. 18th Int. Conf. on Low Temp. Phys. Kyoto, Japanese J. Appl. Phys.26. Suppl. 26-3. 327 (1987)

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  • [Publications] T. Takagi: "A-B Phase Transition of Superfluid ^3He Confined in Pore Geomery." Prog. Theor. Phys.78, No.3. 562 (1987)

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  • [Publications] T. Takagi: "A-B Phase Transition of Superfluid ^3He Confined in Specular and Diffusive Pore Ceometry." Proc. 18th Int. Conf. on Low Temp. Phys. Kyoto, Japanese J. Appl. Phys.26. Suppl. 26-3. 139 (1987)

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  • [Publications] T. Takagi: "Textures of Superfluid ^3He Planar State Confined in a Cylinder." Prog. Theor. Phys. Letter. 79. (1988)

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  • [Publications] K. Yamada and S. Kashiwamura: "Stochastic Formulation of Vortex Tangle Turbulence in Superfluid ^4He." Proc. 18th Int. Conf. on Low Temp. Phys. Kyoto, Japanese J. Appl. Phys.26. Suppl. 26-3. 95 (1987)

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  • [Publications] S. Kashiwamura, K. Miyake, K. Yamada and J. Yamauchi: "Stability of Rotating Couette Flow of Superfluid ^4He." Proc. 18th Int. Conf. on Low Temp. Phys. Kyoto, Japanese J. Appl. Phys.26. Suppl. 26-3. 97 (1987)

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  • [Publications] K. Yamada and S. Kashiwamura: "Stochastic Theory of Vortex Tangle in Superfluid Turbulence." to be published in Physica B. (1988)

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  • [Publications] H. van Beelen, W. van Joolingen and K. Yamada: "On a Balance Equation for Superfluid Vorticity in Capillary Flow of Helium II" to be published in Physica B. (1988)

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Published: 1989-03-30  

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