Abstract
The coupled inhomogeneous density and temperature oscillations in liquids and gases are described with the help of dynamical equations of motion for fluctuations. It is proved that stationary points are asymptotically stable when the preset temperature distribution is inhomogeneous. It is shown that the temperature setting in a gas is a result of the competition between viscosity and heat conduction mechanisms. The phase trajectories in the T-ρ plane are constructed in the inhomogeneous case by numerically solving the derived equations.
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S. O. Gladkov and I. V. Gladyshev, Zh. Tekh. Fiz. 71(3), 1 (2001) [Tech. Phys. 46, 273 (2001)].
H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Clarendon Press, Oxford, 1959; Nauka, Moscow, 1964).
A. V. Lykov, Theory of Heat Conduction (Vysshaya Shkola, Moscow, 1967).
N. M. Belyaev and A. A. Ryadno, Methods of Nonstationary Heat Conduction (Vysshaya Shkola, Moscow, 1978).
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 71, No. 4, 2001, pp. 1–5.
Original Russian Text Copyright © 2001 by Gladkov, Gladyshev.
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Gladkov, S.O., Gladyshev, I.V. Inhomogeneous fluctuations in liquids and gases. Tech. Phys. 46, 363–367 (2001). https://doi.org/10.1134/1.1365456
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DOI: https://doi.org/10.1134/1.1365456