Abstract
A mathematical model is proposed for the heat-and-mass transfer in a target irradiated by an intense charged particle beam. It includes mechanics of continua equations and a kinetic equation for fast particles that are closed by a wide-range equation of state. A method for solving the model equations, which is based on the division of motion into vortex and potential flows, is proposed, and a numerical experiment is performed. Thermocapillary convection is shown to be the main mechanism of liquid-phase mixing in the target. Convective mixing is found to be effected when the pulse duration is much shorter than the characteristic thermal diffusivity time. Thermocapillary convection is shown to provide mixing on scales of 1–20 μm depending on the irradiation conditions.
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V. I. Boiko, A. N. Valyaev, and A. D. Pogrebnyak, Usp. Fiz. Nauk 169, 1243 (1999) [Phys. Usp. 42, 1139 (1999)].
G. Mueller, H. Bluhm, A. Heinzel, G. Schumacher, D. Strauss, A. Weisenburger, F. Zimmermann, V. Engelko, and N. Notchovnaya, in Proceedings of the 6th International on Modification of Materials with Particle Beams and Plasma Flows, Tomsk, 2002, p. 328.
V. P. Rotshtein, A. B. Markov, Yu. F. Ivanov, K. V. Karlik, B, V. Uglov, A. K. Kuleshov, M. V. Novitskaya, S. N. Dub, Y. Pauleau, F. Thiery, and I. A. Shulepov, in Proceedings of the 7th International Conference on Modification of Materials with Particle Beams and Plasma Flows, Tomsk, 2004, p. 258.
S. Yan, X. Y. Le, W. J. Zhao, Y. J. Shang, Wang Yugang, and Xue Jianming, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 8 (Supple), 311 (2006).
E. E. Meshkov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 151 (1969).
R. D. Richtmyer, Commun. Pure Appl. Math. 13, 297 (1960).
E. D. Eidel’man, Usp. Fiz. Nauk 165, 1279 (1995) [Phys. Usp. 38, 1231 (1995)].
G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of an Uncompressed Fluid (Nauka, Moscow, 1972), p. 285 [in Russian].
N. B. Volkov, A. Ya. Leyvi, A. E. Mayer, K. A. Talala, and A. P. Yalovets, Surface-Layer Dynamics in Multilayer Target Materials Subjected to Intense Electron Beams: Extreme-Matter Physics (IPKhF RAN, Chernogolovka, 2007), p. 70.
K. A. Talala, Candidate’s Dissertation in Mathematical and Physics (Chelyabinsk. State Univ., Chelyabinsk, 2006), p. 168.
N. B. Volkov, A. E. Mayer, K. A. Talala, and A. P. Yalovets, Pis’ma Zh. Tekh. Fiz. 32(10), 20 (2006) [Tech. Phys. Lett. 32, 424 (2006)].
M. L. Wilkins, Methods in Computational Physics Advances in Research and Applications, Ed. by B. Alder, S. Fernbach, and M. Rotenberg, Vol. 3: Fundamental Methods in Hydrodynamics (Academic, New York, 1964; Mir, Moscow, 1967).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon, New York, 1987).
V. V. Val’chuk, S. V. Khalikov, and A. P. Yalovets, Mat. Model. 4(10), 111 (1992).
A. P. Yalovets, Prikl. Mekh. Tekh. Fiz., No. 1, 151 (1997).
L. G. Loitsyansky, Mechanics of Liquids and Gases (Drofa, Moscow, 2003; Begell House, New York, 1995).
T. G. Elizarova, Approaches on the Basis of Quasigasdynamic and Quasihydrodynamic Equations (MGU, Moscow, 2005), p. 221 [in Russian].
A. P. Yalovets and A. E. Mayer, in Proceedings of the 6th International on Modification of Materials with Particle Beams and Plasma Flows, Tomsk, 2002, p. 297.
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Original Russian Text © N.B. Volkov, A.Ya. Leivi, K.A. Talala, A.P. Yalovets, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 4, pp. 52–58.
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Volkov, N.B., Leivi, A.Y., Talala, K.A. et al. Thermocapillary convection in a target irradiated by an intense charged particle beam. Tech. Phys. 55, 484–490 (2010). https://doi.org/10.1134/S1063784210040080
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DOI: https://doi.org/10.1134/S1063784210040080