Numerical Study on Transonic Flow with Local Occurrence of Non-Equilibrium Condensation

Shigeru Matsuo, Kazuyuki Yokoo, Junji Nagao, Yushiro Nishiyama, Toshiaki Setoguchi, Heuy Dong Kim, Shen Yu

Department of Advanced Technology Fusion, Saga University, Saga, Japan.
Graduate School of Science & Engineering, Saga University, Saga, Japan.
Institute of Engineering Thermophysics, Chinese Academy of Science, Beijing, China.
Institute of Ocean Energy, Saga University, Saga, Japan.
School of Mechanical Engineering, Andong National University, Andong, Korea.

DOI: 10.4236/ojfd.2013.32A007                

Abstract

Characteristics of transonic flow over an airfoil are determined by a shock wave standing on the suction surface. In this case, the shock wave/boundary layer interaction becomes complex because an adverse pressure gradient is imposed by the shock wave on the boundary layer. Several types of passive control techniques have been applied to shock wave/boundary layer interaction in the transonic flow. Furthermore, possibilities for the control of flow fields due to non-equilibrium condensation have been shown so far and in this flow field, non-equilibrium condensation occurs across the passage of the nozzle and it causes the total pressure loss in the flow field. However, local occurrence of non-equilibrium condensation in the flow field may change the characteristics of total pressure loss compared with that by non-equilibrium condensation across the passage of flow field and there are few for researches of locally occurred non-equilibrium condensation in a transonic flow field. The purpose of this study is to clarify the effect of locally occurred non-equilibrium condensation on the shock strength and total pressure loss on a transonic internal flow field with circular bump. As a result, it was found that shock strength in case with local occurrence of non-equilibrium condensation is reduced compared with that of no condensation. Further, the amount of increase in the total pressure loss in case with local occurrence of non-equilibrium condensation was also reduced compared with that by non-equilibrium condensation across the passage of flow field.

Keywords

Compressible; Transonic; Shock Wave; Non-Equilibrium Condensation; Simulation

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	L. Bahi, J. M. Ross and T. Nagamatsu, “Passive Shock Wave/Boundary Layer Control for Transonic Airfoil Drag Reduction,” AIAA 21st Aerospace Sciences Meeting, Nevada, 10-13 January 1983, AIAA-83-0137, 12 pp.
[2]	S. Raghunathan, “Passive Control of Shock-Boundary Layer Interaction,” Progress in Aerospace Sciences, Vol. 25, No. 3, 1998, pp. 271-296. doi:10.1016/0376-0421(88)90002-4
[3]	N. Saida and Y. Tomizuka, “Passive Control of Oblique Shock/Boundary Layer Interaction,” Journal of the Japan Society for Aeronautical and Space Sciences, Vol. 50, No. 581, 2002, pp. 223-230. doi:10.2322/jjsass.50.223
[4]	S. R. Raghunathan, M. O’Rourke, J. K. Watterson, R. K. Cooper and E. Benard, “Passive Vortex Control Jets for Shock Boundary Layer Interactions,” AIAA 17th Applies Aerodynamics Conference, Virginia, 28 June-2 July 1999, AIAA-99-3196.
[5]	M. J. O’Rourke, M. Healy and S. R. Raghunathan, “Computational Experiment Investigating Passive Vortex Control Jets for Shock Boundary Layer Interactions,” 31st AIAA Fluid Dynamics Conference & Exhibit, California, 11-14 June 2001, AIAA-2001-3028.
[6]	P. P. Wegener and L. M. Mach, “Condensation in Supersonic Hypersonic Wind Tunnels,” Advances in Applied Mechanics, Vol. 5, 1958, pp. 307-447. doi:10.1016/S0065-2156(08)70022-X
[7]	K. Matsuo, S. Kawagoe and K. Sonoda, “Studies of Condensation Shock Waves (Part 1, Mechanism of their Formulation),” Bulletin of JSME, Vol. 28, No. 241, 1985, pp. 1416-1422. doi:10.1299/jsme1958.28.1416
[8]	J. P. Sislian, “Condensation of Water Vapour with or without a Carrier Gas in a Shock Tube,” UTIAS Report No. 201, Institute for Aerospace Studies, University of Toronto, Toronto, 1975.
[9]	T. Setoguchi, S. Matsuo and S. Yu, “Effect of Nonequilibrium Homogeneous Condensation on Flow Fields in a Supersonic Nozzle,” Journal of Thermal Science, Vol. 6, No. 2, 1997, pp. 90-96. doi:10.1007/s11630-997-0022-5
[10]	S. Matsuo, T. Setoguchi and S. Yu, “Effect of Nonequilibrium Condensation of Moist Air on the Boundary Layer in a Supersonic Nozzle,” Journal of Thermal Science, Vol. 6, No. 4, 1997, pp. 260-272. doi:10.1007/s11630-997-0005-6
[11]	M. Tanaka, S. Matsuo and T. Setoguchi, “Passive Control of Transonic Flow Fields with Shock Wave Using Non-Equilibrium Condensation and Porous Wall,” Journal of Thermal Science, Vol. 2, No. 12, 2003, pp. 128-131. doi:10.1007/s11630-003-0053-5
[12]	R. B. Bird, W. E. Stewart and E. N. Lightfoot, “Transport Phenomena,” Wiley, New York, 1960.
[13]	J. O. Hirschfelder, C. F. Curtiss and R. B. Bird, “Molecular Theory of Gases and Liquids,” Wiley, New York, 1954. doi:10.1016/0016-0032(55)91080-2
[14]	M. Furukawa, T. Nakano and M. Inoue, “Unsteady Navier-Stokes Simulation of Transonic Cascade Flow Using an Unfactored Implicit Upwind Relaxation Scheme with Inner Iterations,” Journal of Turbomachinery, Vol. 114, No. 3, 1992, pp. 599-606. doi:10.1115/1.2929184
[15]	H. C. Yee, “A Class of High-Resolution Explicit and Implicit Shock Capturing Methods,” NASA, Washington DC, 1989.
[16]	D. C. Wilcox, “Formulation of the k-Turbulence Model Revisited,” AIAA Journal, Vol. 46, No. 11, 2008, pp. 2823-2838. doi:10.2514/1.36541