Mathematical simulation of forced convection in an axis-symmetric channel at local heating of the wall
This research is devoted to mathematical modeling of forced convection in a circular tube having an annular wall heating. Two heating conditions are considered, namely, a constant temperature and a constant heat flux at the heating section. The solution is obtained numerically using the finite difference method. Mathematical correlations are obtained to reflect the nature of the dependence of the average Nusselt number on the Reynolds and Prandtl numbers, which varied in the ranges 50 ≤ Re ≤ 500 and 0.7 ≤ Pr ≤ 100, respectively.
Keywords
forced convection,
cylindrical channel,
local annular heating,
average Nusselt number,
correlationsAuthors
| Shneider Alina A. | Tomsk State University | alinasnejder338@gmail.com |
| Sheremet Mikhail A. | Tomsk State University | sheremet@math.tsu.ru |
Всего: 2
References
Everts M., Meyer J.P. // Exp. Thermal Fluid Sci. - 2020. - V. 118. - Art. 110153. - DOI: 10.1016/j.expthermflusci.2020.110153.
Sharma A., Sontakke S., Kothadia H.B., et al. // J. Heat Mass Transfer. - 2023. - V. 145. - No. 9. - Art. 091501. - DOI: 10.1115/1.4062563.
Liu W., Xu G., Fu Y., et al. // Int. J. Heat Mass Transfer. - 2023. - V. 209. - P. 124129. - DOI: 10.1016/j.ijheatmasstransfer.2023.124129.
Bamido A., Dhir V.K., Prasad V., Banerjee D. // Proceedings of the ASME 2020 Heat Transfer Summer Conference. - 2020. - DOI: 10.1115/HT2020-8934.
Laichi A., Bouhezza A., Köten H., Kholai O. // Proceedings of ICDMC 2023. Lecture Notes in Mechanical Engineering. - 2024. - P. 201-213. - DOI: 10.1007/978-981-97-1916-7_15.
Ali A.S., Hameed M., Kadhim H.K. // Iraqi J. Industrial Res. - 2024. - V. 11. - No. 3. - P. 11-24. - DOI: 10.53523/ijoirVol11I3ID474.
Bahoosh R., Khalili R., Amin R., Jokari M. // Int. J. Heat Mass Transfer. - 2021. - V. 8. - P. 71-85. - DOI: 10.22075/JHMTR.2021.21718.1312.
Park J., Ha M., Min J. // J. Mech. Sci. Technol. - 2022. - V. 36. - No. 2. - P. 1-14. - DOI: 10.1007/s12206-022-0221-8.
Nath D., Hema Sundar Raju B. // Algorithms for Intelligent Systems. - 2022. - DOI: 10.1007/978-981-16-6893-7_4.
Everts M., Mahdavi M., Meyer J., Sharifpur M. // Int. J. Thermal Sci. - 2023. - V. 186. - P. 108098. - DOI: 10.1016/j.ijthermalsci.2022.108098.
Straub S., Forooghi P., Marocco L., et al. // Int. J. Heat Mass Transfer. - 2019. - V. 144. - Art. 118601. - DOI: 10.1016/j.ijheatmasstransfer.2019.118601.
Liu J., Yu D., Chen G., et al. // Ann. Nucl. Energy. - 2023. - V. 193. - Art. 110036. - DOI: 10.1016/j.anucene.2023.110036.
Blet N., Maillet D. // Int. J. Heat Mass Transfer. - 2022. - V. 183. - Pt. B. - Art. 122117. - DOI: 10.1016/j.ijheatmasstransfer.2021.122117.
Yang W. et al. // Int. J. Heat Mass Transfer. - 2025. - V. 236. - P. 126399.
Fan L., Zhang B., Wang Y., Sun Z. // Appl. Thermal Eng. - 2024. - V. 240. - P. 122266. - DOI: 10.1016/j.applthermaleng.2023.122266.
Ahmad M., Shuja S., Syed K., Zubair S. // Arab. J. Sci. Eng. - 2020. - V. 46. - P. [б.н.]. - DOI: 10.1007/s13369-020-05053-w.
Seco-Nicolás M., Alarcón García M., Luna-Abad J. // Solar Energy. - 2021. - V. 220. - P. 230-245. - DOI: 10.1016/j.solener.2021.02.022.
Шеремет М.А. // Вестник Томского государственного университета. Математика и механика. - 2010. - № 2(10). - С. 98-107. - URL: https://cyberleninka.ru/article/n/nestatsionarnaya-sopryazhennaya-zadacha-termogravitatsionnoy-konvektsii-v-gorizontalnom-tsilindre.
Пасконов В.М., Полежаев В.И., Чудов Л.А. Численное моделирование процессов тепло- и массообмена. - М.: Наука, 1984. - 288 с.
Роуч П. // Вычислительная гидродинамика. - М.: Мир, 1980. - 616 с.
Самарский А.А., Гулин А.В. // Численные методы: учеб. пособие для вузов. - М.: Наука, 1989. - 432 с.
Самарский А.А. // Теория разностных схем. - М.: Наука, 1977. - 656 с.
Incropera F.P., DeWitt D.P., Bergman T.L., Lavine A.S. // Fundamentals of Heat and Mass Transfer. - 6th ed. - Hoboken: John Wiley & Sons, 2007. - 800 p.
Bejan A. // Convection Heat Transfer. - 4th ed. - Hoboken: John Wiley & Sons, 2013. - 616 p.