Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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Simulation of Low-Speed Rarefied Gas Flows Around a Flat Plate

평판 주위의 저속 희박기체 유동장 해석

  • 정찬홍 (대구대학교 화학공학과)
  • Published : 2004.09.01
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Abstract

A kinetic theory analysis is made of low-speed rarefied gas flows around a flat plate. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. The method does not suffer from statistical noise which is common in particle based methods and requires much less amount of computational effort. Calculations are made for flows around a micro-scale flat plate with a finite length of 20 microns. The method is assessed by comparing the results with those from several different methods and available experimental data.

Keywords

References

  1. 안존, '초소형 항공기(MAV)의 개발 현황 및 전망,' 한국항공우주학회지 제28권 제7호, 2000, pp.145-154
  2. Bird, G. A., Molecular Gas Dynamics and The Direct Simulation of Gas FIows, Oxford University Press, London, 1994
  3. Oh, C. K., Oran, E. S., and Sinkovits, R. S., 'Computations of High-Speed, High Knudsen Number Microchannel Flows,' Journal of Thermophysics and Heat Transfer, Vol. 11, No. 4, 1997, pp. 497-505
  4. Fan, J. and Shen, C., 'Statistical Simulation of Low-Speed Rarefied Gas,' Journal of Computational Physics, Vol. 167, 2001, pp. 393-412
  5. Chung, C. H., De Witt, K. J., Jeng, D. R., and Keith Jr., T. G., 'Numerical Analysis of Rarefied Gas Flow Through a Slit,' J. of Thermophysics and Heat Transfer, Vol. 6, No. 1, 1992, pp. 27-34
  6. Bhatnagar, P. L., Gross, E. P., and Krook, M., 'A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems,' Physiacal Review, Vol. 94, No. 3, 1954, pp. 511-525
  7. Chu, C. K., 'Kinetic-Theoretic Description of the Formation of a Shock Wave,'Physics of Fluids, Vol. 8, No. 1, 1965, pp. 12-22
  8. Shizgal, B., 'A Gaussian Quadrature Procedure for Use in he Solution of the Boltzmann Equation and Related Problems,' J. of Computational Physics, Vol. 41, No. 2, 1981, pp. 309-327
  9. Atassi, H. and Shen, S. F., 'A Unified Kinetic Theory Approach to External Rarefied Gas Flows. Part 1. Derivation of Hydrodynamic Equations,' Journal of Fluid Mechanics, Vol. 53, Part 3, 1972, pp. 417-431
  10. Chapman, S., and Cowling, T. G., The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, London (1958)
  11. Sun, Q., Boyd, I. D., and Candler, G. V., 'Numerical Simulation of Gas Flow Over Micro-Scale Airfoils,' AIAA paper 2001-3071, 2001
  12. Schaaf, S. A. and Sherman, F. S., 'Skin Friction in Slip Flow,' Journal of the Aeronautical Sciences, Vol. 21, No. 2, 1954, pp. 85-89
  13. Janour, Z., 'Resistance of a Plate in Parallel Flow at Low Reynolds Numbers,' NACA TM 1316, 1951
  14. Dennis, S. C. and Dunwoody, J., 'The Steady Flow of a Viscous Fluid past a Flat Plate,' Journal of Fluid Mechanics, Vol. 24, No. 3, 1966, pp. 577-595
  15. Churchill, S. W., 'Viscous Flows: The Practical Use of the Theory,' Butterworth Publishers, Stoneham, 1988