Theoretical analysis of multidimensional nonequilibrium gas flows and fluid dynamics equations near the boundaries

2021 Fiscal Year Final Research Report

• Project/Area Number: 19H02065
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Review Section: Basic Section 19010:Fluid engineering-related
• Research Institution: Osaka University
• Principal Investigator: YANO TAKERU 大阪大学, 工学研究科, 教授 (60200557)
• Project Period (FY): 2019-04-01 – 2022-03-31
• Keywords: 希薄気体 / 流体力学 / 境界層

Outline of Final Research Achievements

We have theoretically and numerically studied the multi-dimensional non-equilibrium gas flows near the gas-solid and gas-liquid boundaries based on the Boltzmann-Krook-Welandar (BKW) equation.The problem of gas flows between the coaxial circular cylinders induced by the harmonic oscillation of the cylinders has been solved numerically by the finite-difference method and we have clarified the velocity slip and temperature jump on the boundary and the effect of curvature.We found that there is an important relationship between the multi-dimensional non-equilibrium gas flows and shear wave obtained from the linear dispersion relation.

Free Research Field

流体力学

Academic Significance and Societal Importance of the Research Achievements

本研究課題では、空間２次元のボルツマン方程式の境界値問題の精密な数値解を求め、その解の非平衡な振る舞いの特徴を明らかにした。これによって、ボルツマン方程式の多次元問題の解に対する数学的な理解と物理的な理解の向上、すべりの境界条件の定式化に利用可能な精度で多次元問題を解くための計算技術の発達などにおいて、学術的かつ社会的な意義をもつ。