Abstract
We present a model for the effects of scale, via molecular momentum and heat diffusion phenomena, on the generation and propagation of shock waves. A simple parametrization of the shear stresses and heat flux at the wall leads to the determination of new jump conditions, which show that, for a given wave Mach number at small scales, the resulting particle velocities are lower but the pressures are higher. Also, the model predicts that the flow at small scale is isothermal and that the minimum wave velocity can be subsonic.
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References
D.S. Stewart: Shock Waves 11, 467 (2002)
M. Sun, T. Ogawa, K. Takayama: ‘Shock Sropagation in Narrow Channels’. In: Proceedings of the 22nd International Symposium on Shock Waves, Forth Worth, Texas, July 22–21, 2001, ed. by F.K. Lu (2002)
K. Ohashi, H. Kleine, K. Takayama: ‘Characteristics of Blast Waves Generated by Milligram Charges’. In: Proceedings of the 22nd International Symposium on Shock Waves, Forth Worth, Texas, July 22–27, 2001, ed. by F.K. Lu (2002)
D.D. Dlott: Acc. Chem. Res. 33, 37 (2000)
G. Jagadeesh, J. Kawagishi, K. Takayama, A. Takahashi, J. Cole, K.J.P. Reddy: ‘A New Micro-particle Delivery System Using Laser Ablation’. In: Proceedings of the 22nd International Symposium on Shock Waves, Forth Worth, Texas, July 22–27, 2001, ed. by FK Lu (2002)
M. Brouillette, D.L. Frost, F. Zhang, R.S. Chue, J.H.S. Lee, P. Thibault, C. Yee: ‘Limitations of the Ram Accelerator’. In: Shock Waves Marseille I, 19th International Symposium on Shock Waves, Marseille, France July 26–30, 1993, ed. by R. Brun, L.Z. Dumitrescu (Springer, Heidelberg 1996) pp. 171–176
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© 2005 Tsinghua University Press and Springer-Verlag Berlin Heidelberg
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Brouillette, M. (2005). Effects of heat transfer on the propagation of shocks at small scales. In: Jiang, Z. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27009-6_66
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DOI: https://doi.org/10.1007/978-3-540-27009-6_66
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22497-6
Online ISBN: 978-3-540-27009-6
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