The Oberbeck–Boussinesq approximation as a constitutive limit

Yoshiyuki Kagei; Michael Růžička

doi:10.1007/s00161-015-0483-9

The Oberbeck–Boussinesq approximation as a constitutive limit

Yoshiyuki Kagei, Michael Růžička

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We derive the usual Oberbeck–Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end, the starting system is written, using the Gibbs free energy, in the variables v, θ and p. The Oberbeck–Boussinesq system is then obtained as the thermal expansion coefficient α and the isothermal compressibility coefficient β tend to zero.

Original language	English
Pages (from-to)	1411-1419
Number of pages	9
Journal	Continuum Mechanics and Thermodynamics
Volume	28
Issue number	5
DOIs	https://doi.org/10.1007/s00161-015-0483-9
Publication status	Published - Sept 1 2016

All Science Journal Classification (ASJC) codes

Materials Science(all)
Mechanics of Materials
Physics and Astronomy(all)

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10.1007/s00161-015-0483-9

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title = "The Oberbeck–Boussinesq approximation as a constitutive limit",

abstract = "We derive the usual Oberbeck–Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end, the starting system is written, using the Gibbs free energy, in the variables v, θ and p. The Oberbeck–Boussinesq system is then obtained as the thermal expansion coefficient α and the isothermal compressibility coefficient β tend to zero.",

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AU - Růžička, Michael

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N2 - We derive the usual Oberbeck–Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end, the starting system is written, using the Gibbs free energy, in the variables v, θ and p. The Oberbeck–Boussinesq system is then obtained as the thermal expansion coefficient α and the isothermal compressibility coefficient β tend to zero.

AB - We derive the usual Oberbeck–Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end, the starting system is written, using the Gibbs free energy, in the variables v, θ and p. The Oberbeck–Boussinesq system is then obtained as the thermal expansion coefficient α and the isothermal compressibility coefficient β tend to zero.

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JO - Continuum Mechanics and Thermodynamics

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IS - 5

ER -

The Oberbeck–Boussinesq approximation as a constitutive limit

Abstract

All Science Journal Classification (ASJC) codes

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