Effects of the second virial coefficient on the adiabatic lapse rate of dry atmospheres

Navarro, E.; Díaz, Bogar; García-Ariza, Miguel Ángel; Ramírez, J. E.

doi:10.1140/epjp/i2019-12826-4

Cited by 3 publications

(5 citation statements)

References 26 publications

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“…We believe that the derivation presented here is conceptually clearer and shorter than the one appearing in Ref. [10]. Moreover, here we have obtained a formula for the DALR to any order in the virial expansion, not only up to the second one as in Ref.…”

Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 63%

“…Moreover, here we have obtained a formula for the DALR to any order in the virial expansion, not only up to the second one as in Ref. [10].…”

Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 84%

“…It is worth mentioning that this case was studied in Ref. [10] by the authors and collaborators. There, the following formula for the DALR was obtained:…”

Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 95%

“…Equation 24looks different from (21); the reason is that in Ref. [10] the adiabatic curves were used in the P-T diagram. The equivalence between (21) and (24) can be proved in the following way.…”

Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 99%

“…An attempt to quantify the contribution of molecular interactions can be found in Ref. [10]. There, the authors analyze the effect of the second virial coefficient on the DALR.…”

Section: Introductionmentioning

confidence: 99%

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Adiabatic lapse rate of nonideal gases: The role of molecular interactions and vibrations

Díaz

Ramírez

2020

Phys. Rev. E

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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.

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Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 63%

“…Moreover, here we have obtained a formula for the DALR to any order in the virial expansion, not only up to the second one as in Ref. [10].…”

Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 84%

“…It is worth mentioning that this case was studied in Ref. [10] by the authors and collaborators. There, the following formula for the DALR was obtained:…”

Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 95%

Section: Virial Expansion Up To Second Order Without Vibrationsmentioning

confidence: 99%

“…An attempt to quantify the contribution of molecular interactions can be found in Ref. [10]. There, the authors analyze the effect of the second virial coefficient on the DALR.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Adiabatic lapse rate of nonideal gases: The role of molecular interactions and vibrations

Díaz

Ramírez

2020

Phys. Rev. E

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Adiabatic lapse rate of real gases

Díaz

Ariza²,

Ramírez

2022

Phys. Rev. E

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Titan: Earth-like on the Outside, Ocean World on the Inside

et al. 2021

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Thanks to the Cassini–Huygens mission, Titan, the pale orange dot of Pioneer and Voyager encounters, has been revealed to be a dynamic, hydrologically shaped, organic-rich ocean world offering unparalleled opportunities to explore prebiotic chemistry. And while Cassini–Huygens revolutionized our understanding of each of the three “layers” of Titan—the atmosphere, the surface, and the interior—we are only beginning to hypothesize how these realms interact. In this paper, we summarize the current state of Titan knowledge and discuss how future exploration of Titan would address some of the next decade’s most compelling planetary science questions. We also demonstrate why exploring Titan, both with and beyond the Dragonfly New Frontiers mission, is a necessary and complementary component of an Ocean Worlds Program that seeks to understand whether habitable environments exist elsewhere in our solar system.

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Effects of the second virial coefficient on the adiabatic lapse rate of dry atmospheres

Cited by 3 publications

References 26 publications

Adiabatic lapse rate of nonideal gases: The role of molecular interactions and vibrations

Adiabatic lapse rate of nonideal gases: The role of molecular interactions and vibrations

Adiabatic lapse rate of real gases

Titan: Earth-like on the Outside, Ocean World on the Inside

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