mathematical modelling of a multiple-scale system having a wide and continuous scale-range

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K13453
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Okayama University
• Principal Investigator: Obuse Kiori 岡山大学, 環境生命科学研究科, 特任助教 (90633967)
• 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)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 数理モデリング / ナノフルイド

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.

Free Research Field

数値解析・数理モデリング