Abstract
In this article, we present new data on the non-stationary heat transfer in supercritical water at different heating regimes with characteristic times from 5 ms to 15 ms. The pressure, being the parameter of the experiment, was varied from the critical pressure pc up to 4.5 p/pc (namely, up to 1 kbar). These data serve as a significant addition to the well-known picture of supercritical heat transfer by phenomena inherent in the non-stationary case. The impetus for the study came from the discovery of an unexpected result observed in conductive heat transfer experiments under a powerful heat release—namely, the effect of a decrease in the intensity of heat transfer in the course of a rapid transition of the compressed fluid to the supercritical region of temperatures along the supercritical isobar. The observed effect, which exhibits a threshold character in the vicinity of the critical temperature, occurs up to pressures of 3–4 p/pc. The discussion is based on the hypothesis of a suppression of fluctuations by various external factors. It is assumed that under conditions of a short-term experiment, the complete thermodynamic equilibrium cannot be reached. This factor, along with the large temperature gradient and the presence of a heating surface, “cuts off” large-scale fluctuations responsible for the anomalous behaviour of thermophysical properties in the stationary conditions.
Similar content being viewed by others
Data Availability
The datasets of the primary experimental data are available at https://yadi.sk/d/p8TJKcl6rBsEQg.
References
J.M.H. Levelt Sengers, Critical exponents at the turn of the century. Physica A 82, 319 (1976). https://doi.org/10.1016/0378-4371(76)90012-1
V.P. Skripov, M.Z. Faizullin, Crystal–Liquid–Gas Phase Transition and Thermodynamic Similarity (Wiley–VCH Verlag GmbH & Co. KGaA, Weinheim, 2006), pp. 11–19
M.A. Anisimov, Letter to the editor: fifty years of breakthrough discoveries in fluid criticality. Int. J. Thermophys. 32, 2001 (2011). https://doi.org/10.1007/s10765-011-1073-0
J.V. Sengers, Encountering surprises in thermophysics. Int. J. Thermophys. 41, 117 (2020). https://doi.org/10.1007/s10765-020-02696-7
P.V. Skripov, S.B. Rutin, Heat transfer in supercritical fluids: the case of high-power heat release. Interfacial Phenom. Heat Transf. 5, 187 (2017). https://doi.org/10.1615/InterfacPhenomHeatTransfer.2018025453
A. Michels, J.V. Sengers, The thermal conductivity of carbon dioxide in the critical region: III. Verification of the absence of convection. Physica 28, 1238 (1962). https://doi.org/10.1016/0031-8914(62)90136-2
V.K. Semenchenko, Second-order phase transitions and critical phenomena. Zh. Fiz. Khim. 21, 1461 (1947). (in Russian)
J.V. Sengers, Behavior of viscosity and thermal conductivity of fluids near the critical point, in Phenomena in the Neighborhood of Critical Points. ed. by M.S. Green, J.V. Sengers (NBS Misc. Publ. 273, Washington, 1966), p. 165
R. Tufeu, D.Y. Ivanov, Y. Garrabos, B. Le Neindre, Thermal conductivity of ammonia in a large temperature and pressure range including the critical region. Ber. Bunsenges. Phys. Chem. 88, 422 (1984). https://doi.org/10.1002/bbpc.19840880421
W. Wagner, A. Pruβb, The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use. J. Phys. Chem. Ref. Data 31, 387 (2002). https://doi.org/10.1063/1.1461829
V. Vesovic, W.A. Wakeham, G.A. Olchowy, J.V. Sengers, J.T.R. Watson, J. Millat, J. Phys. Chem. Ref. Data 19, 763 (1990). https://doi.org/10.1063/1.555875
B.W. Tiesinga, E.P. Sakonidou, H.R. van den Berg, J. Luettmer-Strathmann, J.V. Sengers, J. Chem. Phys. 101, 6944 (1994). https://doi.org/10.1063/1.468322
I.M. Abdulagatov, P.V. Skripov, Thermodynamic and transport properties of supercritical fluids: review of thermodynamic properties (part 1). Russ. J. Phys. Chem. B 14, 1178 (2020). https://doi.org/10.1134/S1990793120070192
D.G. Friend, H.M. Roder, The thermal conductivity surface for mixtures of methane and ethane. Int. J. Thermophys. 8, 13 (1987). https://doi.org/10.1007/BF00503221
E.P. Sakonidou, H.R. van den Berg, C.A. ten Seldam, J.V. Sengers, Finite thermal conductivity at the vapor-liquid critical line of a binary fluid mixture. Phys. Rev. E 56, 4943 (1997). https://doi.org/10.1103/PhysRevE.56.R4943
J. Straub, A. Haupt, L. Eicher, Measurements of the isochoric heat cv at the critical point of SF6 under microgravity: results of the German Spacelab Mission D2. Int. J. Thermophys. 16, 1033 (1995). https://doi.org/10.1007/BF02081273
D.Y. Ivanov, Critical Behavior of Nonideal Systems (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2008).
S.B. Rutin, P.V. Skripov, Investigation of not fully stable fluids by the method of controlled pulse heating. 1. Experimental approach. Thermochim. Acta 562, 70 (2013). https://doi.org/10.1016/j.tca.2013.03.030
S.B. Rutin, A.A. Smotritskiy, A.A. Starostin, Y.S. Okulovsky, P.V. Skripov, Heat transfer under high-power heating of liquids. 1. Experiment and inverse algorithm. Int. J. Heat Mass Transf. 62, 135 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2013.02.060
S.B. Rutin, P.V. Skripov, Comments on “the apparent thermal conductivity of liquids containing solid particles of nanometer dimensions: a critique” (Int. J. Thermophys. 36, 1367 (2015)). Int. J. Thermophys. 37, 102 (2016). https://doi.org/10.1007/s10765-016-2108-3
H.M. Roder, J. Res. Natl. Bur. Stand. (U.S.) 86, 457 (1981)
R.A. Perkins, H.M. Roder, C.A.N. de Castro, J. Res. Natl. Inst. Stand. Technol. 96, 247 (1991). https://doi.org/10.6028/jres.096.014
S.B. Rutin, P.V. Skripov, Heat transfer in supercritical fluids under pulse heating regime. Int. J. Heat Mass Transf. 57, 126 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2012.10.027
S.B. Rutin, A.A. Igolnikov, P.V. Skripov, High-power heat release in supercritical water: insight into the heat transfer deterioration problem. J. Eng. Thermophys. 29, 67 (2020). https://doi.org/10.1134/S1810232820010063
Y.B. Zel’dovich, Recovery of the van der Waals critical point in fast processes. Sov. Phys. JETP 53, 1101 (1981)
S. Pittois, B. Van Roie, C. Glorieux, J. Thoen, Thermal conductivity, thermal effusivity, and specific heat capacity near the lower critical point of the binary liquid mixture n-butoxyethanol–water. J. Chem. Phys. 121, 1866 (2004). https://doi.org/10.1063/1.1765652
J.M.H. Levelt Sengers, How Fluids Unmix (Royal Netherlands Academy of Arts and Sciences, Amsterdam, 2002).
A.A. Igolnikov, S.B. Rutin, P.V. Skripov, Short-term measurements in thermally-induced unstable states of mixtures with LCST. Thermochim. Acta 695, 178815 (2021). https://doi.org/10.1016/j.tca.2020.178815
Funding
This study was supported by the Russian Science Foundation (Project No. 19-19-00115).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Skripov, P.V., Rutin, S.B. Features of Supercritical Heat Transfer at Short Times and Small Sizes. Int J Thermophys 42, 110 (2021). https://doi.org/10.1007/s10765-021-02869-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10765-021-02869-y