Abstract
A study is made of a homogeneous granular layer of thickness h and porosity ɛ in which heat is released uniformly with bulk power q. The heat is taken up by a uniform gas flow through the layer in the transverse direction of the y axis at velocity v ° produced by a given pressure difference across the layer. This scheme corresponds to the simplest model of a gas-cooled nuclear reactor, in which the heat release does not depend on the thermogasdynamic state. The case of a chemical reactor with heat release of Arrhenius type is considered in [1, 2].
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Yu. P. Gupalo and Yu. S. Ryazantsev, “Thermomechanical instability of the stationary regime of a flow-type chemical reactor with fixed catalyst layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2 (1968).
Yu. P. Gupalo and Yu, S. Ryazantsev, “Regimes of operation of an ideal displacement chemical reactor with integral allowance for the heat release,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1969).
M. A. Gol'dshtik and B. N. Kozlov, “Elementary theory of concentrated disperse systems,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1973).
A. M. Vaisman and M. A. Gol'dshtik, “Dynamical model of the motion of a fluid in a porous medium,” Preprint ITMO, Minsk (1976).
S. S. Kutateladze, Fundamentals of the Theory of Heat Transfer [in Russian], Nauka, Novosibirsk (1970).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 45–53, March–April, 1979.
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Gol'dshtik, M.A. Thermomechanical instability of a heat releasing granular layer. Fluid Dyn 14, 203–209 (1979). https://doi.org/10.1007/BF01051661
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DOI: https://doi.org/10.1007/BF01051661