Study on mathematical well-posedness of two fluid model equation for bubbly flow
| Project/Area Number |
15K05813
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Fluid engineering
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| Research Institution | Fukuoka Institute of Technology |
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Principal Investigator |
Egashira Ryu 福岡工業大学, 工学部, 准教授 (60455102)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Keywords | 二流体モデル / 数学的適切性 / 固有値解析 / 付加慣性力 / ガリレイ変換 / ボイド率 / 相変化 / 非平衡蒸発 / 気泡流 |
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| 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.
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Report
(4 results)
Research Products
(5 results)
