This paper develops a quasi-one-dimensional mathematical model of steady-state heat transfer from a thin rectangular fin installed on a cylindrical pipeline parallel to its generatrix. Unlike classical formulations, third-kind boundary conditions are specified at both fin bases, accounting for heat exchange with the coolant and the environment, as well as heat transfer through the fin’s lateral surfaces. An analytical solution of the heat-conduction equation describing the temperature distribution along the fin height is obtained. The influence of fin height and thickness and of the material’s thermophysical properties on the temperature field is analyzed numerically. Increasing the fin thickness is shown to slow the temperature decrease along the height and to raise the total heat removed. Formulas for the finning efficiency and for the streamwise change of the coolant temperature are proposed. The results confirm the model’s validity and its applicability for evaluating the finning efficiency of heat-exchange surfaces.
| Mualliflar | Ergashev, D.Y., Khujaev, J.I., Akhmadjonov, S.S., Эргашев, Д.Й., Хужаев, Ж.И., Ахмаджонов, С.С. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2026-07-02 |
| Son | 3 |
| Betlar | 50-60 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.3_73.2026.04 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.3_73.2026.04 · Maqolaning asl sahifasi
fin, heat transfer, quasi-one-dimensional mathematical model, steadystate thermal conductivity, third-kind boundary conditions, finning efficiency, analog of Shukhov’s formula, ребро, теплоотдача, квазиодномерная математическая модель, стационарная теплопроводность, граничные условия третьего рода, эффективность оребрения, аналог формулы Шухова
| APA | Ergashev, D.Y., Khujaev, J.I., Akhmadjonov, S.S., Эргашев, Д.Й., Хужаев, Ж.И., & Ахмаджонов, С.С. (2026). A Mathematical Model of Heat Transfer from a Liquid Coolant Flowing through a Cylindrical Pipeline Finned with Rectangular Fins. Ҳисоблаш ва амалий математика муаммолари, (3), 50-60. https://doi.org/10.71310/pcam.3_73.2026.04 |
|---|---|
| GOST (OAK) | Ergashev, D.Y. va b. A Mathematical Model of Heat Transfer from a Liquid Coolant Flowing through a Cylindrical Pipeline Finned with Rectangular Fins // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 3. – P. 50-60. – DOI: 10.71310/pcam.3_73.2026.04. |
| MLA | Ergashev, D.Y., Khujaev, J.I., Akhmadjonov, S.S., Эргашев, Д.Й., Хужаев, Ж.И., and Ахмаджонов, С.С. “A Mathematical Model of Heat Transfer from a Liquid Coolant Flowing through a Cylindrical Pipeline Finned with Rectangular Fins.” Ҳисоблаш ва амалий математика муаммолари, (3), 50-60, 2026. https://doi.org/10.71310/pcam.3_73.2026.04 |
| Chicago | Ergashev, D.Y., Khujaev, J.I., Akhmadjonov, S.S., Эргашев, Д.Й., Хужаев, Ж.И., and Ахмаджонов, С.С. “A Mathematical Model of Heat Transfer from a Liquid Coolant Flowing through a Cylindrical Pipeline Finned with Rectangular Fins.” Ҳисоблаш ва амалий математика муаммолари, (3), 50-60 (2026). https://doi.org/10.71310/pcam.3_73.2026.04 |
| Harvard | Ergashev, D.Y., Khujaev, J.I., Akhmadjonov, S.S., Эргашев, Д.Й., Хужаев, Ж.И., and Ахмаджонов, С.С (2026) ‘A Mathematical Model of Heat Transfer from a Liquid Coolant Flowing through a Cylindrical Pipeline Finned with Rectangular Fins’, Ҳисоблаш ва амалий математика муаммолари, (3), 50-60. https://doi.org/10.71310/pcam.3_73.2026.04 |
| BibTeX | @article{ergashevdy2026,
title = {A Mathematical Model of Heat Transfer from a Liquid Coolant Flowing through a Cylindrical Pipeline Finned with Rectangular Fins},
author = {Ergashev, D.Y. and Khujaev, J.I. and Akhmadjonov, S.S. and Эргашев, Д.Й. and Хужаев, Ж.И. and Ахмаджонов, С.С.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {3},
pages = {50-60},
doi = {10.71310/pcam.3_73.2026.04},
url = {https://doi.org/10.71310/pcam.3_73.2026.04}
} |
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