Adiabatic lapse rate of non-ideal gases: The role of molecular interactions and vibrations

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Show simple item record Díaz Jiménez, Bogar Ramírez Cancino, Jhony Eredy 2021-05-21T12:47:19Z 2021-05-21T12:47:19Z 2020-10-09
dc.identifier.bibliographicCitation Díaz, B., & Ramírez, J. E. (2020). Adiabatic lapse rate of nonideal gases: The role of molecular interactions and vibrations. Physical Review E, 102(4).
dc.identifier.issn 1539-3755
dc.description.abstract We Report A Formula For The Dry Adiabatic Lapse Rate That Depends On The Compressibility Factor And The Adiabatic Curves. Then, To Take Into Account The Nonideal Behavior Of The Gases, We Consider Molecules That Can Move, Rotate, And Vibrate And The Information Of Molecular Interactions Through The Virial Coefficients. We Deduce The Compressibility Factor In Its Virial Expansion Form And The Adiabatic Curves Within The Virial Expansion Up To Any Order. With This Information And To Illustrate The Mentioned Formula, We Write The Lapse Rate For The Ideal Gas, And The Virial Expansion Up To The Second And Third Coefficient Cases. To Figure Out The Role Of The Virial Coefficients And Vibrations, Under Different Atmospheric Conditions, We Calculate The Lapse Rate For Earth, Mars, Venus, Titan, And The Exoplanet Gl 581d. Furthermore, For Each One We Consider Three Models In The Virial Expansion: Van Der Waals, Square-Well, And Hard-Sphere. Also, When Possible, We Compare Our Results To The Experimental Data. Finally, We Remark That For Venus And Titan, Which Are Under Extreme Conditions Of Pressure Or Temperature, Our Calculations Are In Good Agreement With The Observed Values, In Some Instances.
dc.description.sponsorship B.D. and J.E.R. are supported by a Consejo Nacional de Ciencia y Tecnología postdoctoral fellowship (Grants No. 371778 and No. 289198). The numerical calculations and plots were carried out using Wolfram MATHEMATICA 12
dc.format.extent 10
dc.language.iso eng
dc.publisher American Physical Society
dc.rights ©2020 American Physical Society
dc.title Adiabatic lapse rate of non-ideal gases: The role of molecular interactions and vibrations
dc.type article
dc.subject.eciencia Materiales
dc.identifier.doi 10.1103/PhysRevE.102.042107
dc.rights.accessRights openAccess
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 042107-1
dc.identifier.publicationissue 4
dc.identifier.publicationlastpage 042107-10
dc.identifier.publicationtitle Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.identifier.publicationvolume 102
dc.identifier.uxxi AR/0000027609
dc.affiliation.dpto UC3M. Departamento de Matemáticas
dc.affiliation.grupoinv UC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industrial
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