Results of investigations of the heat exchange in the turbulent flow of nitrogen tetroxide in a cylindrical channel are presented. The equilibrium stage of the dissociation reaction N2O4 ⇄ 2NO2 was considered. It was established that an increase in the temperature of the wall of the channel leads to an intensification of the chemical reaction proceeding in the N2O4 flow and causes the absorption of the heat, transferred from the channel wall, in this flow to increase, with the result that the temperature of the near-wall layers and the thickness of the thermal boundary layer in the chemically reactive gas flow decrease to a level lower than those of a chemically inert heat-transfer agent. It is shown that the use of a dissociating heat-transfer agent in a short channel is advantageous in the case where the rate of its flow is small, and, to increase the efficiency of heat exchange in a high-velocity flow of such an agent, it is necessary to increase the length of a heat exchanger. Approximation formulas for determining the criteria of heat exchange in flows of chemically inert and reactive gases have been obtained.
Similar content being viewed by others
References
B. S. Petukhov and V. K. Shikov (Eds.), Handbook on Heat Exchangers, in 2 vols., Vol. 1 [Russian translation], Énergoatomizdat, Moscow (1987).
A. V. Luikov, Heat and Mass Transfer (Handbook) [in Russian], Énergiya, Moscow (1978).
E. P. Dyban and É. Ya. Épik, Heat transfer involving the laminar-turbulent transition and the enhanced turbulence of an external fl ow, J. Eng. Phys. Thermophys., 69, No. 6, Article No. 726 (1996).
O. V. Matvienko, Heat transfer and formation of turbulence in an internal swirling fluid flow at low Reynolds numbers, J. Eng. Phys. Thermophys., 87, No. 4, 940–950 (2014).
S. S. Kutateladze, Principles of the Heat-Transfer Theory [in Russian], Atomizdat, Moscow (1979).
M. A. Mikheev, Bases of Heat Transfer [in Russian], GÉI, Moscow–Leningrad (1956).
I. G. Dik and O. V. Matviyenko, Heat transfer in chemically reacting swirled flows, Heat Transf. Res., 25, Issue 4, 511–514 (1993).
B. S. Petukhov, L. G. Genin, S. A. Kovalev, and S. L. Solov′ev, Heat Transfer in Nuclear Power Plants, Textbook for Universities [in Russian], MÉI, Moscow (2003).
O. V. Matvienko, Mathematical modeling of the heat transfer and conditions of ignition of a turbulent fl ow of a reactive gas, J. Eng. Phys. Thermophys., 89, No. 1, 212–220 (2016).
V. B. Nesterenko and B. E. Tverkovkin, Heat Exchange in Nuclear Reactors with a Dissociating Coolant [in Russian], Nauka i Tekhnika, Minsk (1980).
I. G. Dik and O. V. Matvienko, Heat exchange in a swirling flow with an endothermic reaction, Teplofi z. Vys. Temp., 28, No. 1, 190–191 (1990).
I. B. Vikhorev, Heat exchange and resistance in internal flows of chemically reactive multicomponent gas mixtures, Vestn. MGTU, 1, No. 2, 89–94 (1998).
V. B. Nesterenko, B. E. Tverkovkin, L. N. Shegidevich, and A. P. Yakushev, Heat and mass transfer during the laminar flow of dissociating N2O4 gas in a triangular bundle of cylinders, J. Eng. Phys. Thermophys., 29, No. 3, 1171–1176 (1975).
V. B. Nesterenko, Dissociating nitrogen tetroxide as a promising coolant and a working substance of atomic power pants with gas-cooled fast reactors, Teploénergetika, No. 1, 72–78 (1972).
V. B. Nesterenko (Ed.), Physicochemical and Thermophysical Properties of the Chemically Reactive N2O4 ⇄ 2NO2 ⇄ 2NO + O2 System [in Russian], Nauka i Tekhnika, Minsk (1976).
V. B. Nesterenko, Physical and Technical Bases of the Use of Dissociating Gases as Coolants and Working Substances in Atomic Power Plants [in Russian], Nauka i Tekhnika, Minsk (1971).
A. K. Krasin and V. B. Nesterenko, Physicochemical bases of the construction of an atomic power plant with a gascooled fast reactor and a dissociating nitrogen tetroxide coolant, Atom. Énerg., 32, Issue 3, 197–203 (1972).
B. S. Petukhov, V. D. Vilenskii, V. K. Shikov, and V. I. Barsukov, Heat exchange in the laminar flow of a nonequilibrium dissociating nitrogen dioxide in a round tube, Teplofi z. Vys. Temp., 11, No. 2, 342–345 (1973).
B. S. Petukhov and V. K. Shikov, Heat exchange and resistance in the flow of a dissociating nitrogen tetroxide in a tube. Calculation method. Investigation of a laminar fl ow, Teplofiz. Vys. Temp., 15, No. 4, 785–794 (1977).
O. V. Matvienko and A. M. Bubenchkov, Mathematical modeling of the heat transfer and chemical reaction in the swirling fl ow of a dissociating gas, J. Eng. Phys. Thermophys., 89, No. 1, 127–134 (2016).
L. I. Kolykhan and V. B. Nesterenko, Heat Exchange in a Dissociating Nitrogen Tetroxide Coolant [in Russian], Nauka i Tekhnika, Minsk (1977).
A. A. Mikhalevich and V. B. Nesterenko, Theory of Calculating Heat Exchangers with a Chemically Reactive Heat-Transfer Agent [in Russian], Nauka i Tekhnika, Minsk (1976).
V. B. Nesterenko and G. V. Nichipor, Radiation resistance of a dissociating N2O4 coolant in a gas-cooled fast reactor, Izv. Akad. Nauk BSSR, Ser. FÉN, No. 2, 45–53 (1971).
V. B. Nesterenko, V. N. Ermashkevich, V. P. Trubnikov, and E. P. Kovaleva, Technology of a dissociating heat-transfer agent and its testing in experimental setups, Izv. Akad. Nauk BSSR, Ser. FÉN, No. 3, 110–112 (1982).
V. B. Nesterenko, L. I. Kolykhan, and S. D. Kovalev, Problem on the construction of an atomic power plant with a fast reactor cooled by a dissociating heat-transfer agent, Izv. Akad. Nauk BSSR, Ser. FÉN, No. 3, 17–25 (1982).
V. P. Bubnov and V. B. Nesterenko, Schemes of Conversion of the Heat of an Atomic Power Plant Working with a Dissociating Gas [in Russian], Nauka i Tekhnika, Minsk (1975).
V. B. Nesterenko, A. A. Mikhalevich, and B. E. Tverkovkin, Fast Reactors and Heat Exchangers of Atomic Power Plants Working with a Dissociating Coolant [in Russian], Nauka i Tekhnika, Minsk (1978).
A. A. Mikhalevich, Nuclear Power Engineering: Prospects for Belarus [in Russian], Belaruskaya Navuka, Minsk (2011).
B. S. Petukhov, Problems of Heat Transfer, Selected Works [in Russian], Nauka, Moscow (1987).
V. B. Nesterenko, V. P. Bubnov, Yu. G. Kotel′skikh, N. Ya. Lantratova, M. V. Mal′ko, A. M. Sukhotin, and B. D. Timofeev, Physicochemical and thermophysical properties of the chemically reactive N2O4 ⇄ 2NO2 ⇄ 2NO + O2 system, in: V. B. Nesterenko (Ed.), Dissociating Gases as Heat-Transfer Agents and Working Substances of Power Plants, Part 1 [in Russian], Nauka i Tekhnika, Minsk (1976), pp. 76–85.
B. S. Petukhov and V. K. Shikov, Heat exchange and resistance in the fl ow of dissociating tetroxide nitrogen in tubes, investigation of a turbulent fl ow, Teplofi z. Vys. Temp., 15, No. 5, 1034–1046 (1977).
V. A. Kurganov and A. I. Gladuntsov, Transformation of the turbulent fl ow of a gas dissociating endothermally on the wall of a tube into the laminar one as a result of its intensive heating and heat-transfer crisis in the tube, Teplofi z. Vys. Temp., 15, No. 6, 1230–1240 (1977).
V. B. Nesterenko, Infl uence of the thermal effect of the chemical reaction of dissociation of the coolant used in an atomic power plant on its thermodynamic effi ciency, Atom. Énerg., 52, Issue 1, 28–34 (1982).
L. G. Loitsyanskii, Mechanics of Liquids and Gases [in Russian], Nauka, Moscow (1974).
O. V. Matvienko, A. I. Baigulova, and A. M. Bubenchkov, Mathematical modeling of catalytic oxidation of methane in a channel with a porous inset, J. Eng. Phys. Thermophys., 87, No. 6, 1298–1312 (2014).
F. R. Menter, Zonal two equation k–ω turbulence models for aerodynamic fl ows, AIAA Paper, Tech. Report No. 93-2906 (1993).
F. R. Menter and C. L. Rumsey, Assessment of two-equation turbulence models for transonic flows, AIAA Paper, No. 94-2343 (1994).
J. Piquet, Turbulent Flows: Models and Physics, Springer, Berlin (1999).
W. P. Jones and B. E. Launder, The calculation of low Reynolds number phenomena with a two-equation model of turbulence, Int. J. Heat Mass Transf., 16, 1119−1130 (1973).
D. C. Wilcox, A two-equation turbulence model for wall-bounded and free-shear flows, AIAA Paper, No. 2905 (1993).
F. R. Menter, M. Kuntz, and R. Langtry, Ten years of industrial experience with the SST turbulence model, Turbulence, Heat Mass Transf., 4, 625–632 (2003).
P. R. Spalart and M. Shur, On the sensitization of turbulence models to rotation and curvature, Aerospace Sci. Technol., No. 1(5), 297–302 (1997).
P. Bradshaw, D. H. Ferriss, and N. P. Atwell, Calculation of boundary layer development using the turbulent energy equation, J. Fluid Mech., 28, 593–616 (1967).
I. G. Dik and O. V. Matvienko, Heat exchange in swirling flows with a volume heat source, Zh. Prikl. Mekh. Tekh. Fiz., No. 5, 113–116 (1989).
V. M. Ushakov and O. V. Matvienko, Numerical investigation of the heat exchange and fi ring of reactive channel walls by a high-temperature swirling-gas flow, J. Eng. Phys. Thermophys., 78, No. 3, 541–547 (2005).
O. A. Kanishchev and V. G. Konakov, Qualitative estimation of the composition of an amyl vapor under conditions of its use, Vestn. SPbGU, Ser. 4, 2 (60), Issue 1, 98–101 (2015).
R. A. Svebla and R. S. Brokaw, Thermodynamic and Transport Properties for the N2O4 ↔ 2NO2 ↔ 2NO + O2 System, NASA Technical Note, No. TN D-3327 (1966).
S. Patankar, Numerical Heat Transfer and Fluid Flow [Russian translation], Énergoatomizdat, Moscow (1983).
J. P. Van Doormal and G. D. Raithby, Enhancements of the SIMPLE method for predicting incompressible fluid flows, Numer. Heat Transf., 7, 147−163 (1984).
I. G. Dik and O. V. Matvienko, Some regularities of the heat exchange in internal swirling flows, Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, Issue 3, 40–43 (1989).
I. G. Dik and O. V. Matvienko, Heat transfer and combustion for a spiral flow in an ideal-displacement reactor, J. Eng. Phys. Thermophys., 60, No. 2, 171–177 (1991).
V. Yu. Petrovich, B. E. Tverkovkin, S. L. Zubtsova, and N. N. Tushin, Investigation of the heat and mass transfer in the turbulent flow of the chemically reactive N2O4 ⇄ 2NO2 ⇄ 2NO + O2 system in a heated tube, in: V. B. Nesterenko (Ed.), Dissociating Gases as Heat-Transfer Agents and Working Substances of Power Plants, Part 2 [in Russian], Nauka i Tekhnika, Minsk (1976), pp. 16–32.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 2, pp. 453–465, March–April, 2021.
Rights and permissions
About this article
Cite this article
Matvienko, O.V., Martynov, P.S. Mathematical Simulation of Heat Transfer and Chemical Reactions in an Equilibrium Dissociating Gas. J Eng Phys Thermophy 94, 437–449 (2021). https://doi.org/10.1007/s10891-021-02314-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-021-02314-9