Domains and boundaries of non-stationary oblique shock-wave reflexions. 1. Diatomic gas

Interferometric data were obtained in the 10 cm × 18 cm hypervelocity shock tube of oblique shock-wave reflexions in argon at initial temperatures and pressures of nearly 300 °K and 15 Torr. The shock Mach-number range covered was 2 [les ] M s [les ] 8 over a series of wedge angles 2° [les ] θ w [les ] 60°. Dual-wavelength laser interferograms were obtained by using a 23 cm diameter field of view Mach-Zehnder interferometer. In addition to our numerous results, the available data for argon and helium obtained over the last two decades were also utilized. It is shown analytically and experimentally that in non-stationary flows six domains exist in the ( M s , θ w ) plane where regular reflexion (RR), single-Mach reflexion (SMR), complex-Mach reflexion (CMR) and double-Mach reflexion (DMR) can occur. The transition boundaries between these regions were all established analytically. The experimental results from different sources substantiate the present analysis, and areas of disagreement which existed in the literature are now clarified and resolved. It is shown that real-gas effects have a significant influence on the size of the regions and their boundaries. In addition, isopycnics (constant density lines) are given for the four types of reflexion, as well as the density distribution along the wedge surface. This data should provide a solid base for computational fluid dynamicists in comparing numerical techniques with actual experimental results.

[1]  W. Bleakney,et al.  The Mach Reflection of Shock Waves at Nearly Glancing Incidence , 1951 .

[2]  A. H. Taub,et al.  Interaction of Shock Waves , 1949 .

[3]  I. I. Glass,et al.  Ionizing argon boundary layers. Part 1. Quasi-steady flat-plate laminar boundary-layer flows , 1978, Journal of Fluid Mechanics.

[4]  I. I. Glass,et al.  Nonstationary Oblique Shock-Wave Reflections: Actual Isopycnics and Numerical Experiments , 1978 .

[5]  Diffraction of a Shock Wave by a Compression Corner: I. Regular Reflection , 1977 .

[6]  Vijaya Shankar,et al.  Diffraction of a shock wave by a compression corner. II - Single Mach reflection , 1978 .

[7]  L. F. Henderson On the Confluence of Three Shock Waves in a Perfect Gas , 1964 .

[8]  Hans G. Hornung,et al.  Transition to Mach reflexion of shock waves in steady and pseudosteady flow with and without relaxation , 1979, Journal of Fluid Mechanics.

[9]  I. I. Glass,et al.  Evaluation of perfect and imperfect-gas interferograms by computer , 1979 .

[10]  I. I. Glass,et al.  A Theoretical and Experimental Study of Shock-Tube Flows , 1955 .

[11]  C. Law Diffraction of Strong Shock Waves by a Sharp Compressive Corner. , 1970 .

[12]  A. H. Taub,et al.  Refraction of Plane Shock Waves , 1947 .

[13]  Ryuma Kawamura,et al.  Reflection of Shock Waves–1 Pseudo-Stationary Case , 1956 .

[14]  G. Schneyer Numerical simulation of regular and Mach reflections , 1975 .

[15]  T. V. Bazhenova,et al.  Regions of various forms of Mach reflection and its transition to regular reflection , 1976 .

[16]  I. I. Glass,et al.  Effects of hydrogen impurities on shock structure and stability in ionizing monatomic gases: 2. Krypton , 1977 .

[17]  L. F. Henderson,et al.  Experiments on transition of Mach reflexion , 1975, Journal of Fluid Mechanics.

[18]  I. I. Glass,et al.  Effects of hydrogen impurities on shock structure and stability in ionizing monatomic gases. Part 1. Argon , 1978, Journal of Fluid Mechanics.