Abstract
The shock wave propagation in the micro channel of the different sizes is studied numerically in order to estimate the possibility of the experimental apparatus development. The full compressible Navier–Stokes equations are used for the numerical simulation. The shock wave velocity attenuation is found for the channel height smaller than H = 200 μm. The influence of the channel size and of the diaphragm pressure ratio on the shock wave velocity is considered. The considerable influence of the viscous effects on the shock propagation is shown.
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Brouillette M (2003) Shock waves at microscales. Shock Waves J 13:3–12
Burtschell Y, Cardoso M, Zeitoun DE (2001) Numerical analysis of the reducing driver gas contamination in impulse shock tunnels. AIAA J 39(12):2357–2365
Candler GV, Olejniczak J, Harrold B (1997) Detailed simulation of nitrogen dissociation in stagnation regions. Phys Fluids 9(7):2108–2117
Chase MW Jr, Davies CA, Davies JR, Fulrip DJ Jr, McDonald RA, Syverud AN (1985) JANAF thermochemical tables, 3rd edn. J Phys Chem Ref Data, 14, vol 1, part 1
Duff RE (1959) Shock-tube performance at low initial pressure. Phys Fluids 2(2):207–216
Garen W, Buss T, Forschepoth S, Becker M, Koch S, Novoselova E (2005) A novel mini-shock tube for generating shock waves at microscales in turbulent and laminar gas flows. In: Proccedings of 25th international symposium on shock waves, pp 764–769
Glass II, Sislian JP (1994) Nonstationary flows and shock waves. Clarendon Press, Oxford, p 105
Hirschfelder JO, Curtiss CF, Bird RB (1954) Molecular theory of gases and liquids. Wiley, New York
Karniadakis GE, Beskok A (2002) Microflow: fundamental and simulations. Springer, New York, p 340
Medale M, Jaeger M (1997) Numerical simulation of incompressible flows with moving interfaces. Int J Num Meth Fluids 24:615–638
Mirels H (1963) Test time in low-pressure shock tubes. Phys Fluids 6(9):1201–1214
Séror S, Druguet M-C, Schall E, Zeitoun DE (1998) Coupled vibration/exchange reactions model for hypersonic airflow computations. AIAA J 36(4):532–538
Sides J, Brun R (1975) Méthode numérique de détermination des grandeurs de l’écoulement dans un tube à choc compte tenu de la couche limite pariétale. J de Mécanique, v 14, N 3
Sun M, Ogawa T, Takayama K (2001) Shock propagation in narrow channels. In: Lu FK (ed) Proceedings of 24th international symposium on shock waves, pp 1320–1327
Udagawa S, Maeno K, Golubeva I, Garen W (2007) Interferometric signal measurement of shock waves and contact surfaces in small scale shock tube. In: Proccedings of 26th international symposium on shock waves, p 2060
Zeitoun DE, Burtschell Y (2006) Navier–Stokes computation in micro shock tubes. Shock Waves 15:241–246
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Parisse, J.D., Giordano, J., Perrier, P. et al. Numerical investigation of micro shock waves generation. Microfluid Nanofluid 6, 699–709 (2009). https://doi.org/10.1007/s10404-008-0336-y
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DOI: https://doi.org/10.1007/s10404-008-0336-y