mathematical modelling of a multiple-scale system having a wide and continuous scale-range
| Project/Area Number |
15K13453
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Okayama University |
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Principal Investigator |
Obuse Kiori 岡山大学, 環境生命科学研究科, 特任助教 (90633967)
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| Co-Investigator(Renkei-kenkyūsha) |
SUITO Hiroshi 東北大学, 原子分子材料科学高等研究機構, 教授 (10302530)
AOKI Nobuaki 東北大学, 原子分子材料科学高等研究機構, 助教 (90437244)
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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 |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 数理モデリング / ナノフルイド / ナノ粒子 / Navier-Stokes方程式 / N体問題 / 混相流 / 数値計算 / 応用数学 / 数値シミュレーション |
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| Outline of Final Research Achievements |
1. It was found that although two major approximations based on both the N-body problem and the multi-phase fluid problem give somewhat consistent numerical results with those of experimental data of nano-fluid dynamics, the mechanisms of the appearance of characteristic aspects in numerical data are totally different.
2. Suggested a simple mathematical model for a nano-particle and a wall with a gap in a two-dimensional shear flow. The numerical calculation is now being carried out, and expected to give a simple and clear understandings for the complexed three-dimensional problem.
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Report
(4 results)
Research Products
(9 results)
