Study on mathematical well-posedness of two fluid model equation for bubbly flow

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K05813
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Fluid engineering
• Research Institution: Fukuoka Institute of Technology
• Principal Investigator: Egashira Ryu 福岡工業大学, 工学部, 准教授 (60455102)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 二流体モデル / 数学的適切性 / 固有値解析

Outline of Final Research Achievements

The present study aims at investigating and improving the mathematical well-posedness of two fluid model equation for a bubbly flow, which has been realized to be mathematically ill-posed for a long time. To achieve this aim, effects of invariance under the Galilean transformation of added inertia force term on mathematical well-posedness of two fluid model equation was clarified on the basis of eigenvalue analysis. Furthermore, expansion or contraction process of a vapor bubble was analyzed considering nonequilibrium evaporation and condensation to be accurately incorporated into the model equation.

Free Research Field

流体工学