A 3-D model of superfluid helium suitable for numerical analysis

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The two-fluid description is a very successful phenomenological representation of the properties of Helium II. A 3-D model suitable for numerical analysis based on the Landau-Khalatnikov description of Helium II is proposed. In this paper we introduce a system of partial differential equations that is both complete and consistent as well as practical, to be used for a 3-D solution of the flow of Helium II. The development of a 3-D numerical model for Helium II is motivated by the need to validate experimental results obtained by observing the normal component velocity distribution in a Helium II thermal counter-flow using ... continued below

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6 pages

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Darve, C.; U., /Fermilab /Northwestern; Patankar, N.A.; U., /Northwestern; Van Sciver, S.W. & Lab., /Natl. High Mag. Field January 1, 2008.

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Description

The two-fluid description is a very successful phenomenological representation of the properties of Helium II. A 3-D model suitable for numerical analysis based on the Landau-Khalatnikov description of Helium II is proposed. In this paper we introduce a system of partial differential equations that is both complete and consistent as well as practical, to be used for a 3-D solution of the flow of Helium II. The development of a 3-D numerical model for Helium II is motivated by the need to validate experimental results obtained by observing the normal component velocity distribution in a Helium II thermal counter-flow using the Particle Image Velocimetry (PIV) technique.

Physical Description

6 pages

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  • Presented at ICEC22 - ICMC2008 International Cryogenic Engineering Conference 22 and International Cryogenic Materials Conference 2008, Seoul, Republic of Korea, 21-25 Jul 2008

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  • Report No.: FERMILAB-CONF-08-695-AD
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 1021030
  • Archival Resource Key: ark:/67531/metadc840706

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  • January 1, 2008

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • Aug. 25, 2016, 2:53 p.m.

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Darve, C.; U., /Fermilab /Northwestern; Patankar, N.A.; U., /Northwestern; Van Sciver, S.W. & Lab., /Natl. High Mag. Field. A 3-D model of superfluid helium suitable for numerical analysis, article, January 1, 2008; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc840706/: accessed January 15, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.