The emptying of a tubular channel as a result of the outflow of a boiling liquid from its one end subjected to a sudden seal failure was investigated. The case where the liquid outflows from the channel in the sluggish regime in which the lag efforts are insignificant and, consequently, the rate of emptying of the channel is mainly determined by the hydraulic losses and the effects of adiabatic expansion of the boiling liquid was considered. It is shown that the system of equations defining the outflow of the liquid from the channel in the two limiting cases where the hydraulic friction force acting on the liquid flow in the channel changes linearly with change in the flow velocity and where this force changes by the square law can be reduced to one nonlinear equation. Self-similar solutions of the problem on the sudden loss of the sealing at one end of the channel have been constructed.
Similar content being viewed by others
References
A. I. Ivandaev and A. A. Gubaidullin, Investigation of the nonstationary outflow of a boiling liquid in the thermodynamically equilibrium approximation, Teplofiz. Vys. Temp., 16, No. 3, 556–562 (1978).
V. V. Vlasov, V. G. Grudnitskii, N. A. Popov, and V. N. Rygalin, Nonstationary outflow of a boiling liquid, in: Sbornik Trudov Inst. Gidrodin. im. M. A. Lavrent′eva Sib. Otd. AN SSSR, Novosibirsk (1991).
D. A. Gubaidullin, Nonstationary Waves in Dispersive Media with Phase Transformations [in Russian], Doctoral Dissertation in Physics and Mathematics, Tyumen′ (1994).
R. I. Nigmatulin, Dynamics of Multiphase Media, Part 2 [in Russian], Nauka, Moscow (1987).
N. G. Rassokhin, V. S. Kuzevanov, G. V. Tsiklauri, Z. Marinchek, and Zh. Sella, Critical conditions of the nonstationary outflow of a two-phase medium from a pipeline as a result of its breakage, Teplofiz. Vys. Temp., 15, No. 3, 589–597 (1977).
V. Sh. Shagapov, G. Ya. Galeeva, and R. G. Shagiev, On the outflow of a boiling liquid from tubular channels, Teplofiz. Vys. Temp., 36, No. 1, 106–112 (1998).
V. Sh. Shagapov, Outflow of gas–liquid and vapor–liquid mixtures through a slot in a large reservoir, Teplofiz. Vys. Temp., 17, No. 3, 655–657 (1979).
F. R. Edwards and T. P. O' Brien, Studies of phenomena connected with depressurization of water reactor, J. British Nucl. Energy. Soc., No. 9, 125–135 (1970).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 4, pp. 1054–1060, July–August, 2022.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Khuzina, F.R., Rusinov, A.A., Salieva, M.S. et al. Outflow of a Boiling Liquid from a Tubular Channel under the Action of a Hydraulic Friction Force. J Eng Phys Thermophy 95, 1037–1043 (2022). https://doi.org/10.1007/s10891-022-02567-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-022-02567-y