Lobanov IE*

Moscow Aviation Institute (National Research University), Russian Federation, Moscow, Russia

*Corresponding Author: Lobanov IE, Moscow Aviation Institute (National Research University), Russian Federation, Moscow, Russia.

Received: May 09, 2023; Published: August 22, 2023

Abstract

The calculation method was used to study the dependence on the Prandtl number in a wide range of its change: (Рr = ~10-3÷~10+5) of the distribution of the integral heat transfer during turbulent convective heat transfer in a pipe with a sequence of periodic protrusions of semicircular geometry based on the numerical solution of the system of Reynolds equations, closed by using the Menter shear stress transfer model, and the energy equation on multiscale intersecting structured grids. A general analysis of the obtained calculated data showed that for increased (Pr>1) Prandtl numbers, the maximum increase in relative heat transfer, which can be quite noticeable, occurs at low Reynolds numbers, large relative heights of turbulators, small relative steps between turbulators, and for reduced (Pr< 1) Prandtl numbers - for large Reynolds numbers, large relative heights of turbulators, large relative steps between turbulators. The minimum values of relative heat transfer for increased Prandtl numbers are observed at high Reynolds numbers for high turbulators with a large step between them, and for reduced Prandtl numbers - at medium Reynolds numbers for high turbulators with a large step between them.

Keywords: Modeling; Numerical; Channel; Pipe; Convective; The Menter Model; Turbulizer; Heat Exchange; Hydraulic Resistance; Prandtl Number

References

1. SA Isaev., et al. “Vortex intensification of convective heat transfer under turbulent flow of air and oil in pipes and channels with periodic elements of discrete roughness”. Proceedings of the Fifth Russian National Conference on heat transfer. In 8 volumes. Volume 6. Intensification of heat transfer. Radiation and complex heat transfer. MEI, (2010): 84-87.
2. Dreitser GA and Lobanov IE. “Modeling of isothermal heat transfer during turbulent flow in channels under conditions of heat transfer intensification”. Teploenergetika 1 (2003): 54-60.
3. Dreitser GA., et al. “Calculation of convective heat transfer in a pipe with periodically located surface flow turbulators”. High Temperature Thermophysics2 (2008): 223-230.
4. Dreitser GA., et al. “Calculation of convective heat transfer in a pipe with periodic protrusions”. Vestnik MAI 2 (2004): 28-35.
5. Dreitser GA., et al. “Calculation of convective heat transfer in a pipe with periodic protrusions”. Problems of gas dynamics and heat and mass transfer in power plants: Proceedings of the XIV School-seminar for young scientists and specialists under the guidance of Academician A.I. Leontiev. MPEI 1 (2003): 57-60.
6. Isaev SA., et al. “Heat transfer intensification in pipes with volumetric and surface vortex generators for inhomogeneous heat carriers”. Heat and mass transfer and hydrodynamics in swirling flows: Fourth international conference: abstracts of report. MPEI Publishing House (2011): 66.
7. Kalinin EK., et al. “Intensification of heat transfer in channels”. Mashinostroenie (1972): 220.
8. Kalinin EK., et al. “Intensification of heat transfer in channels”. Mashinostroenie (1990): 208.
9. Kalinin EK and Lobanov IE. “Problems of research of heat exchange processes in the flows of single-phase media at the stage of successful development of numerical modelling”. Abstracts of reports and reports of the VI Minsk International Forum on Heat and Mass Transfer. Minsk 1 (2008): 101-103.
10. Lobanov IE and Kalinin EK. “Theoretical study, comparison with experiment of streamlines and components of the kinetic energy of turbulent pulsations in vortex structures in pipes with turbulators”. Branch Aspects of Technical Sciences 12 (2011): 4-15.
11. Lobanov IE. “Mathematical modeling of enhanced heat transfer in turbulent flow in channels: Dissertation for the degree of Doctor of Technical Sciences” (2005): 632.
12. Lobanov IE. “Mathematical modeling of the development dynamics of vortex structures in pipes with turbulators”. Moscow Scientific Review 12 (2013): 9-15.
13. Lobanov IE. “Modeling the structure of vortex zones between periodic superficial flow turbulators of rectangular cross section”. Mathematical Modeling7 (2012): 45-58.
14. Lobanov IE. “Modeling of heat transfer and resistance in turbulent flow in channels of heat carriers with variable physical properties under conditions of heat transfer intensification”. Proceedings of the Third Russian National Conference on Heat Transfer. In 8 volumes. T.6. Intensification of heat transfer. Radiation and complex heat transfer. Publishing House of MPEI (2002): 144-147.
15. Lobanov IE. “The structure of the vortex zones between periodic superficial flow turbulators of rectangular cross section”. Electronic Scientific Journal "Issledovanie tekhnicheskikh nauk"2 (2012): 18-24.
16. Lobanov IE. “Theoretical study of the kinetic energy of turbulent pulsations and its components in pipes with turbulators”. Moscow Scientific Review 1 (2013): 23-30.
17. Lobanov IE and Antyukhov IV. “Modern problems of heat transfer intensification in channels with the help of periodically superficially located flow turbulators of rectangular cross section”. Fundamental and Applied Problems of Engineering and Technology 3-2.299 (2013): 22-27.
18. Lobanov IE and Paramonov NV. “Mathematical modeling of enhanced heat transfer during flow in channels based on complex models of a turbulent boundary layer”. MAI Publishing House (2011): 160.
19. Lobanov IE and Stein LM. “Promising heat exchangers with intensified heat transfer for metallurgical production”. (General theory of intensified heat transfer for heat exchangers used in modern metallurgical production.) In 4 volumes. Volume III. Mathematical modeling of enhanced heat transfer in turbulent flow in channels using multilayer, super multilayer and compound models of a turbulent boundary layer. MGAKHiS, (2010): 288.
20. Migai VK. “Modeling of heat exchange power equipment”. Leningrad Branch (1987): 263.
21. Migai VK. “Improving the efficiency of modern heat exchangers”. Leningrad Branch (1980): 144.
22. “Flow control around bodies with vortex cells as applied to integrated aircraft (numerical and physical modeling)”. Ed. A.V. Ermishina and S.A. Isaev. SPb (2001): 360.
23. SA Isaev., et al. “Numerical study of the jet-vortex mechanism of heat and mass transfer intensification in the vicinity of a spherical hole on a plane with an incompressible viscous fluid flow around it, taking into account the influence of shape asymmetry, natural convection and non-stationary processes”. Proceedings of the Second Russian National Conference on Heat Transfer. In volumes. T.6. 8 Intensification of heat transfer. Radiation and complex heat transfer. Izd-vo MPEI (1998): 121-124.
24. AD Gosmen., et al. “Numerical methods for studying viscous fluid flows”. Mir (1986): 234.
25. Bystrov YuA., et al. “Numerical modeling of vortex heat transfer intensification in pipe packages”. St. Petersburg: Shipbuilding (2005): 398.
26. EK Kalinin., et al. “Effective heat exchange surfaces”. Energoatomizdat (1998): 408.
27. Hustrup RC., et al. Jet Propulsion 28.4 (1958): 259-263.
28. Menter FR. “Two-equation eddy-viscosity turbulence models for engineering applications”. AIAA Journal8 (1994): 1598.
29. Lobanov IE. “Theoretical study of heat transfer in straight round pipes with periodically located surface flow turbulators of a semicircular cross section depending on the Prandtl number for various geometric and regime parameters”. Web portal of the professional network pedagogical community "Ped-library.ru (2019).
30. Lobanov IE. “Modeling of heat transfer in pipes with semicircular turbulators depending on the Prandtl number for various geometric and regime parameters”. Bulletin of the Dagestan State Technical University. Technical Science 4 (2019): 91-101.

Citation

Citation: Lobanov IE. “On the Issue of Solving the Theoretical Problem of Heat Exchange in Pipes with Diaphragms Depending on the Prandtl Criterion in an Extended Range of its Variation". Acta Scientific Computer Sciences 5.9 (2023): 38-48.

Copyright

Copyright: © 2023 Lobanov IE. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.