The Oberbeck–Boussinesq approximation as a constitutive limit

Yoshiyuki Kagei, Michael Růžička

    Research output: Contribution to journalArticlepeer-review

    5 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 languageEnglish
    Pages (from-to)1411-1419
    Number of pages9
    JournalContinuum Mechanics and Thermodynamics
    Volume28
    Issue number5
    DOIs
    Publication statusPublished - Sept 1 2016

    All Science Journal Classification (ASJC) codes

    • General Materials Science
    • Mechanics of Materials
    • General Physics and Astronomy

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