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Phase transitions in filtration of real gases

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arxiv 1903.00276 v1 pith:WVHCVZHR submitted 2019-03-01 math-ph math.MP

Valentin Lychagin , Mikhail Roop This is my paper · ORCID
classification math-phmath.MP
keywords gasesfiltrationreallegendrianphasepresentedsurfacesthermodynamical
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Steady adiabatic filtration of real gases is studied. Thermodynamical states of real gases are presented by Legendrian surfaces in 5-dimensional thermodynamical contact space. The relation between phase transitions and singularities of projection of the Legendrian surfaces on the plane of intensive variables is shown. The constructive method of finding solutions of the Dirichlet filtration problem together with analysis of critical phenomena is presented. Cases of van der Waals and Peng-Robinson gases are discussed in details.

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Cited by 3 Pith papers

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