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

Dieter Bothe, Kohei Soga

研究成果: Conference contribution

3 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月 52013 3月 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
国/地域Japan
CityNara
Period13/3/513/3/9

ASJC Scopus subject areas

  • 流体および伝熱

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