Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

Study of Moist Air Flow Through the Ludwieg Tube

  • Baek, Seung-Cheol (Department of Mechanical Engineering, Kyungpook National University) ;
  • Kwon, Soon-Bum (Department of Mechanical Engineering, Kyungpook National University) ;
  • Kim, Heuy-Dong (School of Mechanical Engineering, Andong National University) ;
  • Toshiaki Setoguchi (Department of Mechanical Engineering, Saga University) ;
  • Sigeru Matsuo (Department of Mechanical Engineering, Saga University) ;
  • Raghu S. Raghunathan (School of Aeronautical Engineering, The Queen′s University of Belfast)
  • Published : 2003.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

The time-dependent behavior of unsteady condensation of moist air through the Ludwieg tube is investigated by using a computational fluid dynamics (CFD) work. The two-dimensional, compressible, Navier-Stokes equations, fully coupled with the condensate droplet growth equations, are numerically solved by a third-order MUSCL type TVD finite-difference scheme, with a second-order fractional time step. Baldwin-Lomax turbulence model is employed to close the governing equations. The predicted results are compared with the previous experiments using the Ludwieg tube with a diaphragm downstream. The present computations represent the experimental flows well. The time-dependent unsteady condensation characteristics are discussed based upon the present predicted results. The results obtained clearly show that for an initial relative humidity below 30% there is no periodic oscillation of the condensation shock wave, but for an initial relative humidity over 40% the periodic excursions of the condensation shock occurs in the Ludwieg tube, and the frequency increases with the initial relative humidity. It is also found that total pressure loss due to unsteady condensation in the Ludwieg tube should not be ignored even for a very low initial relative humidity and it results from the periodic excursions of the condensation shock wave.

Keywords

References

  1. Adam, S. and Schnerr, G. H., 1997, 'Instabilities and Bifurcation of Non-Equilibrium TwoPhase Flows,' Journal Fluid Mechanics, Vol. 348, pp. 1-28 https://doi.org/10.1017/S0022112097006745
  2. Baldwin, B. S. and Lomax, H., 1978, 'Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows,' AIAA paper 78-257
  3. Barschdorff, D. and Fillipov, G. A., 1970, 'Analysis of Certain Special Operating Modes of Laval Nozzles with Local Heat Supply,' Heat Transfer J., Vol. 2, No. 5, pp. 76-87
  4. Bull, G. V., 1952, 'Investigation into the Operating Cycle of a Two-Dimensional Supersonic Wind Tunnel,' Journal of Aeronautical Sciences, pp.609-614
  5. Cable, A. J. and Cox, R. N., 1963, 'The Ludwieg Pressure Tube Supersonic Wind Tunnel,' The Aeronautical Quarterly, Vol. 14, No.2, pp. 143-157 https://doi.org/10.1017/S0001925900002729
  6. Cagliostro, D. J., 1972, 'Periodic Compressible Nozzle Flow caused by Heat Addition due to Condensation,' Ph. D Thesis Yale University, New Haven
  7. Frank, W., 1985, 'Condensation Phenomena in Supersonic Nozzles,' Acta Mechanica, Vol. 54, pp. 135-156 https://doi.org/10.1007/BF01184842
  8. Friehmelt, H., Koppenwaller, G. and MullerEigner, R., 1993, 'Calibration and First Results of a Redesigned Ludwieg Expansion Tube,' AIAA Paper 93-5001
  9. Hill, P. G., 1966, 'Condensation of Water Vapour during Supersonic Expansion in Nozzles,' Jour. Fluid Mechanics, Vol. 25, No.3, pp. 593-620 https://doi.org/10.1017/S0022112066000284
  10. Kwon, S. B., 1986, 'The Study of Characteristics of Condensation Shock Waves,' Ph. D. Thesis, Kyushu University, Japan
  11. Matsuo, K., Kawagoe, S., Sonoda, K. and Setoguchi, T., 1985a, 'Oscillations of Laval Nozzle Flow with Condensation (part 2, on the mechanism of oscillations and their amplitudes),' Bulletin of JSME, Vol. 28, No. 235, pp. 88-93 https://doi.org/10.1299/jsme1958.28.88
  12. Matsuo, K., Kawagoe, S., Sonoda, K. and Sakao, K., 1985b, 'Studies of Condensation Shock Waves (part 1, mechanism of their formation),' Bulletin of JSME, Vol. 28, No. 241, pp. 1416-1422 https://doi.org/10.1299/jsme1958.28.1416
  13. Matsuo, K., Kawagoe, S., Sonoda, K. and Setoguchi, T., 1983, 'Oscillations of Laval Nozzle Flow with Condensation (part 1, on the range of oscillations and their frequencies),' JSME J., Vol. 26, No. 219, pp. 1556-1562 https://doi.org/10.1299/jsme1958.26.1556
  14. Schnerr, G. H. and Dohrmann. D., 1990, 'Transonic Flow around Airfoils with Relaxation and Energy Supply by Homogeneous Condensation,' AIAA J., Vol. 32, pp.101-107 https://doi.org/10.2514/3.11956
  15. Setoguchi, T., Matsuo, S. and Kim, H. D., 2001, 'Passive Control of the Condensation Shock Wave Oscillations in a Transonic Nozzle,' Journal of Sound and Vibration (to be published)
  16. Setoguchi, T., Kim, H. D. and Matsuo, S., 2001, 'Passive Control of the Condensation Shock Wave in a Transonic Nozzle,' Applied Scientific Research, International Journal on the Applications of Fluid Dynamics (to be published)
  17. Wegener P. P. and Mack, L. M., 1958, 'Condensation in Supersonic Hypersonic Wind Tunnels,' Adv. in Applied Mechanics, Vol. 5,pp. 307-447 https://doi.org/10.1016/S0065-2156(08)70022-X
  18. Wegener, P. P., 1970, 'Nonequilibrium flows Part 2,' Marcel Dekker Inc., pp. 163-242
  19. Wegener, P. P. and Wu, B., 1977, 'Gasdynamics and Homogeneous Nucleation,' Nucleation Phenomena, Vol. 7, pp.325-402. Ed. by A. C. Zettlemoyer https://doi.org/10.1016/0001-8686(77)85008-2
  20. Wegener, P. P. and Cagliostro, D.J., 1973, 'Periodic Nozzle Flow with Heat Addition,' Combustion Science and Technology, Vol. 6, pp.269-277 https://doi.org/10.1080/00102207308952329
  21. Yee, H. C., 1989, 'A Class of High-Resolution Explicit and Implicit Shock-Capturing Methods,' NASA TM-89464
  22. Zierep, J. and Lin, S., 1967, 'Bestimung des kondensationsbeginns kondensation bei entspannung feuchter luft in ueberschallduesen,' Forsch. Ing.-Wes., Vol. 33, pp. 169-172 https://doi.org/10.1007/BF02575401