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Generation of polygonal gas interfaces by soap film for Richtmyer–Meshkov instability study

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Abstract

A simple method of generating polygonal gas interfaces is proposed by using the soap film technique. Thin pins are used as angular vertexes to connect the adjacent sides of polygonal soap films in order to avoid the pressure singularities around the vertexes caused by the surface tension. As a demonstration, three polygonal interfaces (i.e., square, equilateral triangle and diamond) are created in the test section of a shock tube. Experiments are then carried out for a planar shock wave (Mach number about 1.2) interacting with air/SF6 polygonal interfaces. Numerical simulations are also performed to validate the proposed method of the interface formation. Wave systems and interface structures can be clearly identified in experimental schlieren images and agree well with the numerical results. It is also indicated that the presences of thin pins and fine chamfers only have limited effects on the interface evolution and can be ignored at the very early stage. Experimental and numerical results about the movement of the distorted interface, the width and height of the interface structures are further compared and good agreement is achieved. It is then concluded that the polygonal interface formed by the proposed method is applicable for the Richtmyer–Meshkov instability study.

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References

  • Arnett WD, Bahcall JN, Kirshner RP, Woosley SE (1989) Supernova 1987A. Annu Rev Astron Astrophys 27:629–700

    Article  Google Scholar 

  • Balasubramanian S, Orlicz GC, Prestridge KP, Balakumar BJ (2012) Experimental study of initial condition dependence on Richtmyer-Meshkov instability in the presence of reshock. Phys Fluids 24:034103

    Article  Google Scholar 

  • Bates KR, Nikiforakisb N (2007) Richtmyer-Meshkov instability induced by the interaction of a shock wave with a rectangular block of SF6. Phys Fluids 19:036101

    Article  Google Scholar 

  • Haas JF, Sturtevan B (1987) Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J Fluid Mech 181:41–76

    Article  Google Scholar 

  • Haehn N, Ranjan D, Weber C, Oakley J, Rothamer D, Bonazza R (2012) Reacting shock bubble interaction. Combust Flame 159:1339–1350

    Article  Google Scholar 

  • Hosseini SHR, Takayama K (2005) Experimental study of Richtmyer-Meshkov instability induced by cylindrical shock waves. Phys Fluids 17:084101

    Article  Google Scholar 

  • Isenberg C (1992) The science of soap films and soap bubbles. Dover publications, INC. New York

    Google Scholar 

  • Jacobs JW, Klein DL, Jenkins DG, Benjamin RF (1992) Instability growth patterns of a shock-accelerated thin fluid layer. Phys Rev Lett 70(5):583–589

    Article  Google Scholar 

  • Jacobs JW (1993) The dynamics of shock accelerated light and heavy gas cylinders. Phys Fluids 5(9):2239–2247

    Article  Google Scholar 

  • Jacobs JW, Sheeley JM (1995) Experimental study of incompressible Richtmyer-Meshkov instability. Phys Fluids 8(2):405–415

    Article  Google Scholar 

  • Jacobs JW, Krivets VV (2005) Experiments on the late-time development of single-mode Richtmyer-Meshkov instability. Phys Fluids 17:034105

    Article  Google Scholar 

  • Jones MA, Jacobs JW (1997) A membraneless experiment for the study of Richtmyer-Meshkov instability of a shock-accelerated gas interface. Phys. Fluids 9(10):3078–3085

    Article  Google Scholar 

  • Layes G, Jourdan G, Houas L (2009) Experimental study on a plane shock wave accelerating a gas bubble. Phys Fluids 21:074102

    Article  Google Scholar 

  • Lindl JD, Mccrory RL, Campbell EM (1992) Progress toward ignition and burn propagation in inertial confinement fusion. Phys Today 45:32-40

    Article  Google Scholar 

  • Long CC, Krivets VV, Greenough JA, Jacobs JW (2009) Shock tube experiments and numerical simulation of the single-mode, three-dimensional Richtmyer-Meshkov instability. Phys Fluids 21:114104

    Article  Google Scholar 

  • Luo X, Lamanna G, Holten APC, van Dongen MEH (2007) Effects of homogeneous condensation in compressible flows: Ludwieg-tube experiments and simulations. J Fluid Mech 572:339-366

    Article  MATH  Google Scholar 

  • Mariani C, Vanderboomgaerde M, Jourdan G, Souffland D, Houas L (2008) Investigation of the Richtmyer-Meshkov instability with stereolithographed interfaces. Phys Rev Lett 100:254503

    Article  Google Scholar 

  • Mikaelian KO (2005) Richtmyer-Meshkov instability of arbitrary shapes. Phys Fluids 17:034101

    Article  MathSciNet  Google Scholar 

  • Meshkov EE (1969) Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn 4:101–104

    Article  MathSciNet  Google Scholar 

  • Orlicz GC, Balakumar BJ, Tomkins CD, Prestridge KP (2009) A Mach number study of the Richtmyer-Meshkov instability in a varicose, heavy-gas curtain. Phys Fluids 21:064102

    Article  Google Scholar 

  • Puranik PB, Oakley JG, Anderson MH, Bonazza R (2004) Experimental study of the Richtmyer-Meshkov instability induced by a Mach 3 shock wave. Shock Waves 13:413–429

    Article  Google Scholar 

  • Richtmyer RD (1960) Taylor instability in shock acceleration of compressible fluids. Commun Pure Appl Math 13:297–319

    Article  MathSciNet  Google Scholar 

  • Ranjan D, Anderson M, Oakley J, Bonazza R (2005) Experimental investigation of a strongly shocked gas bubble. Phys Rev Lett 94:184507

    Article  Google Scholar 

  • Ranjan D, Oakley J, Bonazza R (2011) Shock-bubble interactions. Annu Rev Fluid Mech 43:117–140

    Article  MathSciNet  Google Scholar 

  • Si T, Zhai Z, Luo X, Yang J (2012) Experimental studies of reshocked spherical gas interfaces. Phys Fluids 24:054101

    Article  Google Scholar 

  • Sun M (1998) Numerical and experimental studies of shock wave interation with bodies. PhD thesis, Tohoku University

  • Sun M, Takayama K (1999) Conservative smoothing on an adaptive quadrilateral grid. J Comput Phys 150:143–180

    Article  MATH  Google Scholar 

  • Tomkins C, Kumar S, Orlicz GC, Prestridge KP (2008) An experimental investigation of mixing mechanisms in shock-accelerated flow. J Fluid Mech 611:131–150

    Article  MATH  Google Scholar 

  • Yang J, Kubota T, Zukoski EE (1993) Applications of shock-induced mixing to supersonic combustion. AIAA J 35:854–862

    Article  Google Scholar 

  • Zou L, Liu C, Tan D, Huang W, Luo X (2010) On interaction of shock wave with elliptic gas cylinder. J Vis 13:347–353

    Article  Google Scholar 

  • Zhai Z, Si T, Luo X, Yang J (2011) On the evolution of spherical gas interfaces accelerated by a planar shock wave. Phys Fluids 23:084104

    Article  Google Scholar 

Download references

Acknowledgments

The work was supported by the National Natural Science Foundation of China (Nos. 10972214 and 11272308).

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Correspondence to Xisheng Luo.

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Wang, M., Si, T. & Luo, X. Generation of polygonal gas interfaces by soap film for Richtmyer–Meshkov instability study. Exp Fluids 54, 1427 (2013). https://doi.org/10.1007/s00348-012-1427-9

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  • DOI: https://doi.org/10.1007/s00348-012-1427-9

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