Publication type: Book part
Type of review: Editorial review
Title: Helium thermodynamics, analytical model
Authors: Safa, Yasser
Published in: Helium : characteristics, compounds, and applications
Page(s): 191
Pages to: 208
Issue Date: 2011
Publisher / Ed. Institution: Nova Science Publishers
Publisher / Ed. Institution: New York
ISBN: 978-1-61761-213-8
Language: English
Subjects: Helmholtz energy; Hard spheres; Equations of state; Thermodynamic properties
Subject (DDC): 530: Physics
Abstract: The thermodynamic properties of helium at wide range of temperature and pressure are analytically derived from the knowledge of the pair spherical potentials to which quantum corrections are superposed. The double Yukawa potential model is considered to describe the intermolecular attraction and repulsion energies. Low temperature quantum effects are incorporated by using the first order quantum correction of the Wigner-Kirkwood expansion. A fundamental equation of state is formulated including Helmholtz energy as an explicit function of temperature and density. The thermodynamic properties are expressed as an explicit combination of the Helmholtz energy and its derivatives. The obtained values are compared to the thermodynamic data and the Molecular Dynamic calculations, a satisfactory correspondence with simulation results is realized. The feature of helium thermodynamics in the critical region is discussed. Contrary to most previous similar works, the present theory retrieves the main features of the helium at wide temperature and pressure from analytical formulation.
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: School of Engineering
Organisational Unit: Institute of Computational Physics (ICP)
Appears in collections:Publikationen School of Engineering

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