Influence of geometric parameters on the thermal and hydrodynamic efficiency of conical pipe-in-pipe heat exchangers
https://doi.org/10.30724/1998-9903-2026-28-3-192-206
Abstract
RELEVANCE of this work is due to the need to study the effect of the cone apex angle on the heat transfer efficiency by comparing several variants of coil-type heat exchangers (HE) of the "pipe in pipe" type. PURPOSE. To determine the degree of influence of the angle at the cone apex on the thermohydrodynamic efficiency of heat exchangers based on spring-twisted channel.
METHODS. The calculations of the conical coil HE was performed based on theoretical research and the solution of the conjugate heat transfer problem.
RESULTS. The maximum temperature value of the heated coolant was recorded for the cylindrical HE and was 53.44 °C. At angles ranging from 0 to 50°, the temperature difference was 5.12 °C (9.6%), while the cylindrical HE was 32.3% longer. The element's length was reduced by 14% when the angle was changed from 30 to 50°. The advantage of conical HE is confirmed by a higher value of the Kirpichev factor — 17,92 against 15,70 for cylindrical analogues. Replacing a smooth pipe with a spring-twisted channel allows you to obtain a final temperature of the heated coolant of 61.3 °C, which exceeds the base indicator by 11.97 °C; the Kirpichev efficiency factor for this option is 18,32. The calculations were performed for conical coil heat exchangers of the "pipe in a pipe" type based on a spring-twisted channel with a circular cross-section. It was found that an increase in the angle at the apex of the cone has a significant impact on the heat exchange processes, with the most pronounced effect occurring in the range of 50° to 70°. Based on the obtained data, the authors assume that the angle at the apex of the cone is equal to 50°. The technical and energy feasibility of using conical HE, as well as replacing smooth pipes with spring-twisted channels, is confirmed by the results of the calculations.
About the Authors
Iraida A. KrutovaRussian Federation
Kazan
Yakov D. Zolotonosov
Russian Federation
Kazan
References
1. Bagoutdinova, A.G., Zolotonosov Ya.D. Coil heat exchangers. Modeling, calculation. / A.G. Bagoutdinova, Ya.D. Zolotonosov - Kazan- KGAZU, 2016.-245 p.
2. Patent of the Russian Federation No. 2115876 for the invention IPC F28D 7/00 Pipein-Pipe Heat Exchanger / A. L. Koptev - No. 96101976/06 applied for 01.02.96; published on 20.07.98
3. Mishra, T. N. Modeling and CFD Analysis of Tube in Tube Helical Coil Heat Exchanger. (2015)
4. Faridi Khouzestani, Reza & Ghafouri, Ashkan & Halalizade, Mahmood. (2021). Numerical study of the effects of geometric parameters and nanofluid properties on heat transfer and pressure drop in helical tubes. SN Applied Sciences. 3. 10.1007/s42452-021-04701-6.
5. Nashine, Prerana & Singh, Thokchom. (2021). EFFECT OF DEAN NUMBER ON THE HEAT TRANSFER CHARACTERISTICS OF A HELICAL COIL TUBE WITH VARIABLE VELOCITY & PRESSURE INLET. Journal of Thermal Engineering. 6. 128-139. 10.18186/thermal.729149.
6. Purandare, P., Lele, Dr M., Gupta, R.: Experimental investigation on heat transfer and pressure drop of conical coil heat exchanger. Thermal science 20 (6), 2087-2099 (2016).
7. Pramond S. Purandare, Mandar M. Lele, and Raj K. Gupta: Experimental Investigation on heat transfer and pressure drop of conical coil heat exchanger. Thermal Science, year 2016, vol. 20 №6, pp. 2087-2099.
8. Ali, M., Rad, M. M., Nuhait, A., Almuzaiqer, R., Alimoradi, A., & Iskander, T. (2019). New equations for Nusselt number and friction factor of the annulus side of the conically coiled tubes in tube heat exchangers. Applied Thermal Engineering. https://doi.org/10.1016/j.applthermaleng.2019.114545
9. Abdelmagied, M. Investigation of fluid flow and heat transfer in annulus conical tubes. Discov Appl Sci 8, 128 (2026). https://doi.org/10.1007/s42452-025-07974-3
10. Abdelmagied, M. Investigation of a tube in tube conically coil heat exchanger thermal and fluid flow performance characteristics. Int. J. Air-Cond. Ref. 33, 7 (2025). https://doi.org/10.1007/s44189-025-00071-5
11. Md Atiqur Rahman, Review on heat transfer augmentation in helically coiled tube heat exchanger, International Journal of Thermofluids, Volume 24 (2024). https://doi.org/10.1016/j.ijft.2024.100937
12. Muravyov A.V., Kozhukhov N.N., Prutskikh D.A., Ilyin V.K. Investigation of the Thermal and Hydraulic Characteristics of a Curvilinear Channel with Ring Turbulators // Bulletin of Kazan State Power Engineering University. 2024. Vol. 16. No. 1 (61). Pp. 102-116.
13. Zolotonosov, Ya. D. Analytical Solution of the Heat Exchange Problem in the Flow of Viscous Fluids in Coil Heat Exchangers of the "Pipe in Pipe" Type / Ya. D. Zolotonosov, E. K. Vachagina // Izvestiya vysshikh uchebnykh zavedeniy. Construction. – 2023. – No. 3(771). – Pp. 95-109. – DOI 10.32683/0536-1052-2023-771-3-95-109. – EDN BIOHEV.
14. Krutova, I. A. Solution of the Conjugate Heat Transfer Problem for Conical Heat Exchangers / I. A. Krutova, Ya. D. Zolotonosov // Izvestiya Vysshikh Uchebnykh Zavedeniy. Problemy Energetiki. – 2024. – Vol. 26, No. 6. – Pp. 214-226. – DOI 10.30724/1998-99032024-26-6-214-226. – EDN MIDCGA.
15. I am D. Zolotonosov, A.Ya. Zolotonosov, E.K. Vachagina, and E.V. Varsegova. Innovative heat exchangers. Constructions. Calculation. Kazan: Publishing House of Kazan State Architect."He's building. University, 2021. –ISBN 978-5-7829-0586-6.
16. Krutova I.A., Zolotonosov Ya.D. Calculation of coil heat exchangers with a variable bending radius of a helical spiral // News of higher educational institutions. ENERGY PROBLEMS. 2026. Vol. 28. No. 1. Pp. 179-194. doi: 10.30724/1998-9903-2026-28-1-179-194
Review
For citations:
Krutova I.A., Zolotonosov Ya.D. Influence of geometric parameters on the thermal and hydrodynamic efficiency of conical pipe-in-pipe heat exchangers. Power engineering: research, equipment, technology. 2026;28(3):192-206. (In Russ.) https://doi.org/10.30724/1998-9903-2026-28-3-192-206
JATS XML




