Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent

Dieter Bothe, Kohei Soga

研究成果: Conference contribution

2 被引用数 (Scopus)

抄録

We derive mathematical models of the elementary process of dissolution/growth of bubbles in a liquid under pressure control. The modeling starts with a fully compressible version, both for the liquid and the gas phase so that the entropy principle can be easily evaluated. This yields a full PDE system for a compressible two-phase fluid with mass transfer of the gaseous species. Then the passage to an incompressible solvent in the liquid phase is discussed, where a carefully chosen equation of state for the liquid mixture pressure allows for a limit in which the solvent density is constant. We finally provide a simplification of the PDE system in case of a dilute solution.

本文言語English
ホスト出版物のタイトルRecent Developments of Mathematical Fluid Mechanics
編集者Yoshikazu Giga, Hideo Kozono, Masao Yamazaki, Hisashi Okamoto, Herbert Amann
出版社Springer Verlag
ページ111-134
ページ数24
ISBN(印刷版)9783034809382
DOI
出版ステータスPublished - 2016
イベントInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan
継続期間: 2013 3 52013 3 9

出版物シリーズ

名前Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
none

Other

OtherInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
CountryJapan
CityNara
Period13/3/513/3/9

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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