Heat Localization in the Medium in Blow-Up Regime
Abstract
The existence of the effect of heat metastable localization in the medium in the blow-up heating regime was experimentally proved. This is the regime in which the heating energy for a finite period of time tends to infinity. Previous theoretical studies have shown that in this case some regions, inside of which the temperature increases, may arise, while their size remains constant or decreases with time (heat localization regions). These regions exist as long as there is some energy input from the outside. An installation for the experimental study of the thermal blow-up regimes in a solid was developed. The object of research was an aluminum rod with a heater at its end. The temperature distribution along the rod was measured with thermocouples. The temperature of the rod end could vary according to the given law. Calibration of the installation was performed. The sensitivity of thermocouples was determined. The inertia of the heating and cooling process was estimated. The mathematical description of the thermal processes, occurring during the experiment, was made. The nonlinear equation of heat conduction for the rod was solved, with the heat exchange with the environment by convection and radiation taken into account. The thermal regime at the boundary, which is necessary to create the thermal structures, was determined. The temperature distribution in the rod in the blow-up regime and non-blow-up regime was measured. In the blow-up regime the heat front (the coordinate of the point with the temperature equal to half the maximum temperature) initially shifts from the heat source, and then in the opposite direction, and the size of the area under heating decreases. In the non-blow-up regime the size of the heated region increases all the time. The predicted effect was supposed to be used in installations for thermonuclear fusion where the target was heated by laser radiation pulses of a special shape. This effect can also be used for localized heating in cutting and welding, when the adjacent regions are not to get very hot, and in other similar situations.
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References
S.P. Kapitza, S.P. Kurdyumov, G.G. Malinetskiy, Синергетика и прогнозы будущего [Synergetics and Forecasts of the Future], (Nauka, Moscow, 2003), pp. 288. (in Russian)
S.P. Kapitza, in: World population growth as a scaling phenomenon and the population explosion. Climate change and energy policy, edited by L. Rosen, and R. Glasser. (AIP, New York, 1992), pp. 241-248.
S.P. Kapitza, World population growth. A world at the crossroads: new conflicts, new solutions, edited by J. Rotblat. (World Scientific, Singapore, 1994), pp. 198-217, https://doi.org/10.1142/9789814327008_0024.
A.A. Samarsky, N.V. Zmitrenko, S.P. Kurdyumov, and A.P. Mikhailov, Доклады Академии Наук СССР [Reports of the USSR Academy of Sciences]. 233(6), 1344 1347 (1975), http://www.mathnet.ru/links/0c91838b716a90926704d734c046bb31/dan39241.pdf. (in Russian).
S.P. Kurdyumov, Режимы с обострением [Peaking modes]. (Физматлит, Москва, 2006), pp. 238. (in Russian)
V.A. Kovalev, Сложные системы [Complex systems], 60(3), 50 (2015), pp. 50. (in Russian)
N.V. Zmitrenko, S.P. Kurdyumov, A.P. Mikhailov, and A.A. Samarskiy, Метастабильная локализация тепла в средах с нелинейной теплопроводностью и условия ее проявления в эксперименте [Metastable localization of heat in media with nonlinear heat conductivity and conditions for its manifestation in experiment], Preprint IPM AH SSSR, 103, 103 (1977), (in Russian)
V.A. Galaktionov, S.P. Kurdyumov, A.P. Mikhailov, and A.A. Samarskii, Действие граничных режимов с обострением на среду с постоянной теплопроводностью [Action of boundary regimes with sharpening on a medium with constant thermal conductivity], Preprint IPM AH SSSR, 28, 76 (1979), (in Russian)
E.N. Knyazeva, and S.P. Kurdyumov, Основания синергетики. Режимы с обострением, самоорганизация, темпомиры [Foundations of Synergetics. Regimes with aggravation, self-organization, tempomir], (Altateya, Sankt Petersburg, 2003), pp. 402. (in Russian)
S.S. Katsnelson, A.M. Orishich, and G.A. Pozdnyakov, Прикладная механика и техническая физика [Applied Mechanics and Technical Physics], 44(5), 23-29 (2003). (in Russian)
A. Zimmers, L. Aigouy, M. Mortier, A. Sharoni, S. Wang, K.G. West, J.G. Ramirez, and I.K. Schuller, Phys. Rev. Lett. 110, 056601 (2013), https://doi.org/10.1103/PhysRevLett.110.056601.
J.G. Ramirez, R. Schmidt, A. Sharoni, M.E. Gomez, I.K. Schuller, and E.J. Patino, Appl. Phys. Lett. 102, 063110 (2013), https://doi.org/10.1063/1.4792052.
J. del Valle, Y. Kalcheim, J. Trastoy, A. Charnukha, D.N. Basov, and I.K. Schuller, Phys. Rev. Appl. 8, 054041 (2017), https://doi.org/10.1103/PhysRevApplied.8.054041.
A.L. Rakhmanov, V.S. Vysotsky, and N.V. Zmitrenko, IEEE Trans. Appl. Supercond. 13, 1942-1945 (2003), https://doi.org/10.1109/TASC.2003.812971.
V. Vysotsky, A. Rakhmanov, and N. Zmitrenko, Thermal stability of Bi-2223 wires, in Research, Fabrication and Applications of Bi-2223 HTS Wires, World Scientific Series in Applications of Superconductivity and Related Phenomena Vol. 1 (World Scientific, Singapore, 2015), pp. 105-122.
V.I. Polozov, S.S. Maklakov, A.L. Rakhmanov, S.A. Maklakov, and V.N. Kisel, Phys. Rev. B, 101, 214310 (2020), https://doi.org/10.1103/PhysRevB.101.214310.
A. Misnar, Теплопроводность твердых тел, жидкостей, газов и их композиций [Thermal conductivity of solids, liquids, gases and their compositions]. (Mir, Moscow, 1968). pp. 464. (in Russian)
I.K. Kikoin, editor, Таблицы физических величин. Справочник [Tables of physical quantities. Handbook]. (Atomizdat, Moscow, Москва, 1976). pp. 1008. (in Russian)
A.V. Lykov, Теория теплопроводности [Heat conduction theory]. (Vysshchsya Shkola, Moscow, 1966). с. 600. (in Russian)
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