The Oberbeck–Boussinesq approximation as a constitutive limit

Yoshiyuki Kagei, Michael Růžička

Research output: Contribution to journalArticle

3 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 - Sep 1 2016

All Science Journal Classification (ASJC) codes

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

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