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Author Abourabia, Aly M. ♦ Tolba, Reda E.
Source SpringerLink
Content type Text
Publisher Springer Berlin Heidelberg
File Format PDF
Copyright Year ©2012
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Physics
Subject Keyword Applied and Technical Physics ♦ Theoretical, Mathematical and Computational Physics ♦ Statistical Physics, Dynamical Systems and Complexity ♦ Condensed Matter Physics ♦ Atomic, Molecular, Optical and Plasma Physics
Abstract The Rayleigh flow problem is studied in the framework of the Bhatnager-Gross-Krook (BGK) approximation to the Boltzmann equation supplemented by Maxwell’s equations. The behavior of a rarefied electron gas extracted from noble gases is investigated, considering the method of moments with a two-sided distribution function of Liu and Lees type. Exact solutions of the fourth-order linear homogeneous differential equations, based on the method of the separation of variables for both the mean flow velocity and the shear stress are obtained in terms of the coordinate y and time t with suitable boundary conditions. The advantage of dealing with the Boltzmann equation permits to consider the principles of the irreversible thermodynamics near-equilibrium, by substituting the calculated distribution functions in the formulae of Boltzmann’s H-theorem to evaluate entropy and entropy production. The different contributions of the forces exerted on the system change its internal energies. They are expressed via the Gibbs formula within which the diamagnetic properties of the system are predicted.
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2012-05-28
Publisher Place Berlin, Heidelberg
e-ISSN 21905444
Journal The European Physical Journal Plus
Volume Number 127
Issue Number 5
Page Count 11
Starting Page 1
Ending Page 11

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Source: SpringerLink