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75 Fig. 5. Mass fraction contour of hydrogen. 75 10 5 5 0 0 30 40 50 60 70 30 40 50 60 70 Fig. 6. Comparison of k − ε contours for various freestream Mach numbers, calculated by the k − ε model. 75 50 60 70 15 15 10 10 5 5 0 0 30 40 50 60 70 30 40 50 60 70 Fig. 7. Comparison of k − ε contours for various freestream Mach numbers, calculated by the k − ε compressibility model. 41 Two-Dimensional Supersonic Flow with Perpendicular Injection of the Gas The dynamics of reduction of dimensionless residual norm of gas density for the implicit method is shown in the Figure 8.
Apparently, numerical simulation with smaller of M∞ will need optimization in order to provide better convergence. (a) (b) 42 Advanced Methods for Practical Applications in Fluid Mechanics (c) Fig. 8. Dimensionless residual norm for the gas density vs. the number of iterations (a)k − ε model, (b)–B-L model, (c)- k − ε compressibility model. The influence of the pressure ratio on the upstream flow structure was also studied. An analysis of the influence of the jet pressure ratio on the bow shock wave shows that the angle of inclination of the latter increases with increasing pressure ratio behind the shock wave and ahead of it.
C. Willert, et al. (1998). Particle Image Velocimetry A Practical Guide. Berlin, Springer. Scheimpflug, T. (1904). Improved Method and Apparatus for the Systematic Alteration of Distortion of Plane Pictures and Images by Means of Lenses and Mirrors for Photography and for other purposes. B. P. N. 1196. Schröder, A. and J. Kompenhans (2004). " Experiments in Fluids 36: 82-90. Sinha, S. K. (1988). " Experiments in Fluids 6: 67-68. , R. J. Adrian, et al. (1997). " Measurement Science and Technology 8: 1441-1454.