Skip to main content
Log in

Mathematical Simulation of Heat Transfer and Chemical Reaction in a Swirling Flow of Equilibrium-Dissociating Gas

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Results of investigations of the heat transfer in the swirling turbulent flow of dinitrogen tetroxide in a cylindrical channel are presented. The equilibrium stage of the dissociation reaction N2O4 ⇄ 2NO2 was considered. It was established that the mass fraction of N2O4 in its swirling flow is smaller than that in the analogous forward flow at one and the same distance from the input cross section of the channel. In the case where the flow of dinitrogen tetroxide is strongly swirled, its intense heating in the zone of reverse flows near the channel inlet causes it to dissociate. It is shown that an increase in the swirling of a gas flow intensifies the heat transfer in it with increase in its Nusselt number.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. S. Petukhov and V. K. Shikov (Eds.), Heat Exchanger Design Handbook [Russian translation], Énergoatomizdat, Moscow (1987).

  2. A. V. Luikov, Heat and Mass Transfer [in Russian], Énergiya, Moscow (1978).

  3. A. K. Gupta, D. G. Lilley, and N. Syred, Swirl Flows [Russian translation], Mir, Moscow (1987).

  4. V. K. Shchukin and A. A. Khalatov, Heat and Mass Transfer and Hydrodynamics of Swirling Flows in Axisymmetric Channels [in Russian], Mashinostroenie, Moscow (1982).

  5. A. A. Khalatov, Theory and Practice of Swirling Flows [in Russian], Naukova Dumka, Kiev (1989).

  6. I. V. Shevchuk and A. A. Khalatov, Heat transfer and hydrodynamics in channels rotating about their axis, J. Eng. Phys. Thermophys., 70, No. 3, Article number 511 (1997).

  7. I. V. Shevchuk and A. A. Khalatov, Heat transfer and hydrodynamics in straight channels rotating relative to a parallel axis or an oblique one (Review), Teplofiz. Vys. Temp., 34, No. 3, 461–473 (1996).

    Google Scholar 

  8. I. V. Shevchuk and A. A. Khalatov, Heat transfer and hydrodynamics in the fields of mass forces: Review of work performed at the Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine, Prom. Teplotekh., 34, No. 4, 5–19 (2012).

    Google Scholar 

  9. A. V. Sudarev and V. I. Antonovskii, Combustion Chambers of Gas Turbine Plants: Heat Exchange [in Russian], Mashinostroenie, Leningrad (1985).

  10. A. A. Khalatov, A. A. Avramenko, and I. V. Shevchuk, Heat Exchange and Hydrodynamics in the Fields of Centrifugal Mass Forces, in 9 vols., Vol. 4, Engineering and Technological Equipment [in Russian], Inst. Tekh. Teplofiz. NAN Ukrainy, Kiev (2000).

  11. I. G. Dik and O. V. Matvienko, Some features of the heat exchange in swirling internal flows, Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, Issue 3, 40–43 (1989).

  12. I. G. Dik and O. V. Matvienko, Heat exchange in swirling flows with a volumetric heat source, Zh. Prikl. Mekh. Tekh. Fiz., No. 5, 113–116 (1989).

  13. B. S. Petukhov, L. G. Genin, S. A. Kovalev, and S. L. Solov’ev, Heat Transfer in Nuclear Power Units [in Russian], MÉI, Moscow (2003).

  14. I. B. Vikhorev, Heat exchange and drag in internal flows of chemically reacting multicomponent gas mixtures, Vestn. MGTU, 1, No. 2, 89–94 (1998).

    Google Scholar 

  15. B. S. Petukhov, V. D. Vilenskii, V. K. Shikov, and V. I. Barsukov, Heat transfer in laminar flow of nonequilibriumdissociating nitrogen dioxide in a circular tube, Teplofiz. Vys. Temp., 11, No. 2, 342–345 (1973).

    Google Scholar 

  16. I. G. Dik and O. V. Matvienko, Heat transfer in chemically reacting swirled flows, Heat Transf. Res., 25, Issue 4, 511–514 (1993).

  17. O. V. Matvienko and A. M. Bubenchikov, Mathematical modeling of the heat transfer and chemical reaction of a swirling flow of a dissociating gas, J. Eng. Phys. Thermophys., 89, No. 1, 127–134 (2016).

    Article  Google Scholar 

  18. Ya. B. Zel’dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, Mathematical Theory of Combustion and Explosion [in Russian], Nauka, Moscow (1980).

  19. A. H. Lefebvre, Heat-Transfer Processes in Gas-Turbine Combustion Chambers [Russian translation], Mir, Moscow (1986).

  20. 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).

    Article  Google Scholar 

  21. V. B. Nesterenko and B. E. Tverkovkin, Heat Transfer in Nuclear Reactors with a Dissociating Heat-Transfer Agent [in Russian], Nauka i Tekhnika, Minsk (1980).

  22. I. G. Dik and O. V. Matvienko, Heat transfer in a swirling flow with an endothermic reaction, Teplofiz. Vys. Temp., 28, No. 1, 190–191 (1990).

    Google Scholar 

  23. 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).

    Article  Google Scholar 

  24. V. B. Nesterenko, Dissociating nitrogen tetraoxide as a promising heat-transfer agent and a working medium of atomic power plants with a gas-cooled fast reactor, Teploénergetika, No. 1, 72–78 (1972).

  25. V. B. Nesterenko (Ed.), Physicochemical and Thermophysical Properties of the Chemically Reacting System N2O42NO22NO + O2 [in Russian], Nauka i Tekhnika, Minsk (1976).

  26. V. B. Nesterenko, Physical-Technical Bases of the Application of Dissociating Gases as Heat-Transfer Agents and Working Media in Atomic Power Plants [in Russian], Nauka i Tekhnika, Minsk (1971).

  27. A. K. Krasin, V. B. Nesterenko, N. M. Sinev, V. P. Slizov, V. I. Khorev, B. I. Lomashev, V. P. Bubnov, B. E. Tverkovkin, and V. A. Naumov, Physicochemical bases of the design of a nuclear power plant with a gas-cooled fast reactors and with a dissociating heat-transfer agent (nitrogen tetroxide), Atom. Énergiya, 32, Issue 3, 197–203 (1972).

  28. B. S. Petukhov and V. K. Shikov, Heat transfer and drag in the flow of a dissociating nitrogen tetroxide in a pipe. Calculation method. Investigation of a laminar flow, Teplofiz. Vys. Temp., 15, No. 4, 785–794 (1977).

    Google Scholar 

  29. O. V. Matvienko and A. M. Bubenchikov, Mathematical modeling of the heat transfer and chemical reaction of a swirling flow of a dissociative gas, J. Eng. Phys. Thermophys., 89, No. 1, 127–134 (2016).

    Article  Google Scholar 

  30. V. P. Bubnov and V. B. Nesterenko, Schemes of Conversions of Heat from an Atomic Power Plant Operating on Dissociating Gases [in Russian], Nauka i Tekhnika, Minsk (1975).

  31. V. B. Nesterenko, A. A. Mikhalevich, and B. E. Tverkovkin, Fast Reactors and Heat-Exchange Apparatuses of an Atomic Power Plant Operating with a Dissociating Heat-Transfer Agent [in Russian], Nauka i Tekhnika, Minsk (1978).

  32. A. A. Mikhalevich, Nuclear Power Engineering: Prospects for Belarus [in Russian], Belaruskaya Navuka, Minsk (2011).

  33. B. S. Petukhov, Problems of Heat Exchange [in Russian], Nauka, Moscow (1987).

  34. B. S. Petukhov and V. K. Shikov, Heat exchange and drag in the flow of a dissociating nitrogen tetraoxide in a pipe. Investigation of a turbulent flow, Teplofiz. Vys. Temp., 15, No. 5, 1034–1046 (1977).

    Google Scholar 

  35. V. B. Nesterenko, On the influence of thermal effects of chemical reactions in a dissociating heat-transfer agent on the thermodynamic efficiency of an atomic power plant, Atom. Énergiya, 52, Issue 1, 28–34 (1982).

  36. L. G. Loitsyanskii, Mechanics of Liquids and Gases [in Russian], Nauka, Moscow (1974).

  37. F. R. Menter, Zonal two equation k–ω turbulence models for aerodynamic flows, AIAA Paper, Article 93-2906 (1993).

  38. F. R. Menter, M. Kuntz, and R. Langtry, Ten years of industrial experience with the SST turbulence model. Turbulence, in: Heat and Mass Transfer 4, Begell House. Inc. (2003), pp. 625–632.

  39. 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).

  40. 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).

    Article  Google Scholar 

  41. O. A. Kanishchev and V. G. Konakov, Quantitative estimation of the composition of an amil vapor in the process of its use, Vestn. SPbGU, Ser. 4, 2 (60), Issue 1, 98–101 (2015).

  42. R. A. Svebla and R. S. Brokaw, Thermodynamic and Transport Properties for the N2O4 ↔ 2NO2 ↔ 2NO + O2 System, NASA TN D-3327 (1966).

  43. 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).

    Article  Google Scholar 

  44. S. Patankar, Numerical Heat Transfer and Fluid Flow [Russian translation], Énergoatomizdat, Moscow (1983).

  45. 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).

    MATH  Google Scholar 

  46. 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 reacting system N2O4 ⇄ 2NO2 ⇄ 2NO + O2 in a heating pipe, in: V. B. Nesterenko (Ed.), Dissociating Gases as Heat-Transfer Agents and Working Media of Power Plants [in Russian], Nauka i Tekhnika, Minsk (1976), Part II, pp. 16–32.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. V. Matvienko.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 2, pp. 435–447, March–April, 2022.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Matvienko, O.V., Martynov, P.S. Mathematical Simulation of Heat Transfer and Chemical Reaction in a Swirling Flow of Equilibrium-Dissociating Gas. J Eng Phys Thermophy 95, 428–440 (2022). https://doi.org/10.1007/s10891-022-02497-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-022-02497-9

Keywords

Navigation