Abstract
In this paper, we derive the scaling laws for different radiating fluids. The studied regimes are relevant for both laboratory astrophysics and High Energy Density Physics. Using Lie groups theory, we obtain scaling laws, the similarity properties and the number of free parameters to rescale experiments.
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References
Basko, M.M., Johner, J.: Nucl. Fusion 38, 1779 (1998)
Birkhoff, G.: Hydrodynamics: A Study in Logic, Fact, and Similitude. Princeton University Press, Princeton (1950), pp. 129–130
Castor, J.: Astrophys. Space Sci. 307, 207 (2007)
Chevalier, R.A., Imamura, J.N.: Astrophys. J. 261, 543 (1982)
Coggeshall, S.V.: Phys. Fluids A 3, 757 (1991)
Coggeshall, S.V., Meyer-ter-Vehn, J.: J. Math. Phys. 33, 3585 (1992)
Drake, R.P.: High Energy Density Physics: Fundamentals, Inertial Fusion and Experimental Astrophysics. Springer, Berlin (2006)
Falize, E., et al.: Astrophys. Space Sci., Proc. of HEDLA’08 held in St Louis, MO, USA, 12–15 April 2008, in this issue (2008a)
Falize, E., Bouquet, S., Michaut, C.: J. Phys. Conf. Ser. 112, 042016 (2008b)
Ibragimov, N.H.: Elementary Lie Group Analysis and Ordinary Differential Equations. Pasadena (1999)
Konigl, A.: Astrophys. J 284, 303 (1984)
Lowrie, R.B., Morel, J.E., Hittinger, J.A.: Astrophys. J. 521, 432 (1999)
Mignone, A.: Astrophys. J 626, 373 (2005)
Mihalas, D., Mihalas, B.: Foundations of Radiation Hydrodynamics. Dover, New York (1999)
Murakami, M., Iida, S.: Phys. Plasma 9, 2745 (2002)
Remington, B.A., Drake, R.P., Ryutov, D.D.: Rev. Mod. Phys. 78, 755 (2006)
Ryutov, D.D., Remington, B.A.: Plasma Phys. Control. Fusion 44, B407 (2002)
Ryutov, D.D., Drake, R.P., Kane, J., Liang, E., Remington, B.A., Wood-Vasey, W.M.: Astrophys. J. 518, 821 (1999)
Ryutov, D.D., Remington, B.A., Robey, H.F., Drake, R.P.: Phys. Plasma 8, 1804 (2001)
Saxton, C.J., Wu, K., Pongracic, H., Shaviv, G.: Mon. Not. R. Astron. Soc. 299, 862 (1998)
Takabe, H.: Progress Theor. Phys. Suppl. 143, 202 (2001)
Zeldovich, Y.B., Raizer, Y.P.: Physics of Shock Waves and High-temperature Hydrodynamic Phenomena. Academic Press, New York (1967)
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Falize, E., Bouquet, S. & Michaut, C. Scaling laws for radiating fluids: the pillar of laboratory astrophysics. Astrophys Space Sci 322, 107–111 (2009). https://doi.org/10.1007/s10509-009-9983-z
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DOI: https://doi.org/10.1007/s10509-009-9983-z