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Fluid Dynamics of Liquid Helium

Liepmann, H. W. (1975) Fluid Dynamics of Liquid Helium. SIAM Journal on Applied Mathematics, 28 (3). pp. 689-699. ISSN 0036-1399.

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Liquid helium at low temperatures owes its existence to h through the zero point energy classically it should be solid. ^(4)He the common isotope, owes its peculiar behavior as a fluid to its spin and hence again to h; classically the difference between ^(3)He and ^(4)He should be trivial. In liquid helium flow we deal with a system which still shows all the usual behavior of a liquid plus some additional strange properties which reflect directly macroscopic quantum effects. The governing equations of motion due largely to Landau and London are, except in their linearized form, not as well founded and most certainly less well confirmed than one would like. Consequently, the experimental fluid dynamicist working with helium should have a field day exploring flow problems in an atmosphere more adventureous than with any ordinary fluid. This indeed is often the case. One does, however, ruefully discover that some of the more interesting and significant flow configurations which one likes to study in this strange field are by no means sufficiently well explored in the corresponding classical cases. One therefore likes to design simple fluid flow experiments which bring out the essentially new properties of He II and permit an experimental contribution to, or decision among, the theories of He II flow. In this spirit, experiments associated with the propagation of shock waves in liquid helium have been initiated at GALCIT. The design and construction of a cryogenic shock tube and its application to liquid helium are discussed in this paper.

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Additional Information:© 1975 Society for Industrial and Applied Mathematics. Received by the editors March 15, 1974. Presented by invitation at an International Symposium on Modern Developments in Fluid Dynamics in honor of the 70th birthday of Sydney Goldstein, held at Haifa, Israel, December 16-23, 1973. This research was supported in part by the Alfred P. Sloan Foundation and in part by the Air Force Office of Scientific Research. The general direction of the research was outlined by the author some time ago; it could not have been carried out without the very active participation of Drs. J. E. Broadwell, J. C. Cummings, P. E. Dimotakis and V. C. Rupert who, at various stages of the research, contributed work, ideas and criticism.
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Alfred P. Sloan FoundationUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Issue or Number:3
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Official Citation:Fluid Dynamics of Liquid Helium Liepmann, H. SIAM Journal on Applied Mathematics 1975 28:3, 689-699
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33114
Deposited By: Aucoeur Ngo
Deposited On:13 Aug 2012 16:47
Last Modified:03 Oct 2019 04:07

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