Abstract
The kinetic Boltzmann equation has been solved for the boundary-value problem of heat transfer with boundary conditions in the form of nonequilibrium distributions. Modes with anomalous heat transfer have been revealed in the spatial zones where the signs of the heat flux and temperature gradient coincide (in the classical statement of the problem with equilibrium conditions, heat transfer conventionally occurs in the entire range of physical parameters). Possible experiments aimed at verifying these effects are discussed.
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References
S. R. de Groot and P. Mazur, Nonequilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
M. N. Kogan, Rarefied Gas Dynamics (Plenum, New York, 1969).
V. V. Aristov, Phys. Lett. A 250, 354 (1998).
V. V. Aristov, Methods of Direct Solving the Boltzmann Equation and Study of Nonequilibrium Flows (Kluwer, Dordrecht, 2001).
V. V. Aristov, S. A. Zabelok, and A. A. Frolova, Mat. Model. 21 (12), 59 (2009).
V. V. Aristov, S. A. Zabelok, and A. A. Frolova, Comput. Phys. Commun. 11, 1334 (2012).
V. V. Aristov, A. A. Frolova, and S. F. Zabelok, Europhys. Lett. 106, 20002 (2014).
V. V. Aristov, S. A. Zabelok, M. A. Fedosov, and A. A. Frolova, Zh. Vychisl. Mat. Mat. Fiz. 56 (5), 869 (2016).
V. V. Aristov and F. G. Cheremisin, Direct Numerical Solution of Boltzmann Kinetic Equation (VTs RAN, Moscow, 1992) [in Russian].
V. I. Kolobov, R. R. Arslanbekov, V. V. Aristov, A. A. Frolova, and S. A. Zabelok, J. Comput. Phys. 223, 589 (2007).
R. Fulton, A. I. Bishop, M. N. Schneider, and P. F. Barker, Nat. Phys. 2, 465 (2006).
D. S. Lobser, E. S. Barentine, E. A. Cornell, and H. J. Lewandowski, Nat. Phys. 11, 1009 (2015).
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Original Russian Text © V.V. Aristov, S.A. Zabelok, A.A. Frolova, 2017, published in Doklady Akademii Nauk, 2017, Vol. 473, No. 3, pp. 286–290.
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Aristov, V.V., Zabelok, S.A. & Frolova, A.A. The possibility of anomalous heat transfer in flows with nonequilibrium boundary conditions. Dokl. Phys. 62, 149–153 (2017). https://doi.org/10.1134/S1028335817030090
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DOI: https://doi.org/10.1134/S1028335817030090