On the Study of Application of the Advanced Fluid Dynamic Equation to the Extremely Nonequilibrium Flow
| Project/Area Number |
09651008
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Aerospace engineering
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| Research Institution | Nagoya University |
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Principal Investigator |
SOGA Takeo Nagoya University, School of Engineering, Aerospace Engineering, 工学部, 教授 (00023284)
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| Project Period (FY) |
1997 – 1999
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| Project Status |
Completed (Fiscal Year 1999)
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| Budget Amount *help |
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1999: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1997: ¥1,300,000 (Direct Cost: ¥1,300,000)
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| Keywords | advanced fluid dynamic equation / moment equation / nonequilibrium flow / rarefied gas flow / slip boundary condition |
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| Research Abstract |
(1) Twenty moment and 35 moment equations, which are direct extension of Grad's 13 moment equations were applied to the analysis of steady plane shock wave. These equations yielded discontinuous solutions for the moderare strong, and strong shock waves. The solution showed a singular behavior. It was also found that when a large collision frequency was chosen for the BGK type kinetic model equation it yield such a singular solution similar to that of the moment equations. This result was presented in the second Asia-Pacific Conference on Aerospace Technology and Science. (2) Up to 56 moment equations were applied the shock tube problem and behaviors of solutions and effects of truncation of the moment equations were examined in details. Detailed behaviors of higher moments in the extream nonequilibrium gas were clarified. For the case of moderately strong shock waves an artificial viscosity term was introduced in the analysis. The peculiar behavior at the supersonic part of the solution appeared on these results . These results are submitted to the 22nd international symposium on the rarefied gas dynamics. (3) Generalized slip boundary conditions for the advanced hydrodynamic equation system were deduced. This result was presented in the 21st international symposium on the rarefied gas dynamics. Application of the moment equations to the evaporation-condensation problems demonstrated the possibly of the advanced fluid dynamic equation systems to the analyses of extream nonequilibrium phenomena. This result will be presented in the Japan Soc. of Mechanical Engineers annual meeting. (4) Direct Monte Carlo simulation of shock-wave/boundary-layer interaction in the vicinity of leading edge carried out and the results were presented in the 21st international symposium on rarefied gas dynamics. The analysis according to advanced fluid dynamic equation is now on progress.
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Report
(4 results)
Research Products
(11 results)
