Influence of Optical Thickness and Inclination Angle on Coupled Natural Convection and Thermal Radiation in Inclined Cavities

Authors

  • Khadijeh Ghaziani * Department of, Ayandegan University, Tonekabon, Iran. https://orcid.org/0000-0001-7860-3010
  • Omar Mar Cornelio Centro De Estudio De Matemática Computacional, Universidad De Las Ciencias Informáticas, 19370 La Habana, Cuba.

https://doi.org/10.48313/mtei.v1i4.67

Abstract

In this study, the effect of thermal radiation on heat transfer via natural convection in inclined cavities under inclination angles of 45° and 60° is studied numerically. For modeling the flow field and heat transfer, the conservation laws of mass, momentum, and energy are solved using the Finite Volume Method (FVM). In contrast, the SIMPLE algorithm is employed to solve the pressure-velocity coupling. The buoyancy force resulting from the temperature gradient is considered using the Boussinesq approximation. In the first step, the characteristics of natural convection heat transfer in inclined cavities are studied in the absence of radiation. Then, the effect of thermal radiation is studied for radiative participation and non-participation of the fluid medium. To assess the accuracy of numerical solutions, results such as streamlines, isotherms, and Nusselt number profiles are compared with those reported in the literature and found to be in close agreement. The results show that the optical thickness has a considerable effect on the flow field, the strength of recirculation, the temperature profile, and, ultimately, the heat transfer performance. In other words, the importance of radiation heat transfer increases with increasing optical thickness. Consequently, the average Nusselt number decreases as the optical thickness increases. Moreover, an increase in the angle of inclination weakens buoyancy-induced flow, thereby reducing recirculation and heat transfer. The combined influence of geometric inclination and radiation reveals a significant interaction between fluid mechanics and heat transfer, which is crucial to understanding the thermo-fluid dynamics of inclined cavities. The results obtained from the present investigation are expected to provide valuable information for the design of optimal thermal systems in which interactions between convection and radiation play a key role.   

Keywords:

Thermal radiation heat transfer, Natural convection, Optical thickness, Inclined cavity, Finite volume method, Nusselt number

References

  1. [1] Bergman, T. L. (2011). Fundamentals of heat and mass transfer. John Wiley & Sons. https://books.google.com/books/about/Fundamentals_of_Heat_and_Mass_Transfer.html?id=0kAxEAAAQBAJ
  2. [2] Cuevas, J. C., & García-Vidal, F. J. (2018). Radiative heat transfer. Acs photonics, 5(10), 3896–3915. http://webs.ftmc.uam.es/plasmonanoquanta.group/pdfs/149.pdf
  3. [3] Bejan, A. (2013). Convection heat transfer. John wiley & sons. https://www.amazon.com/s?k=9780470900376&i=stripbooks&linkCode=qs
  4. [4] Yücel, A., Acharya, S., & Williams, M. L. (1989). Natural convection and radiation in a square enclosure. Numerical heat transfer, part a: Applications, 15(2), 261–278. https://doi.org/10.1080/10407788908944688
  5. [5] Bouali, H., Mezrhab, A., Amaoui, H., & Bouzidi, M. (2006). Radiation—natural convection heat transfer in an inclined rectangular enclosure. International journal of thermal sciences, 45(6), 553–566. https://doi.org/10.1016/j.ijthermalsci.2005.10.001
  6. [6] Hasani, S. M. F. (1998). Combined natural convection and radiation in a triangular enclosure. The University of Akron. https://search.proquest.com/openview/5cf9a673d6f33f87018e0f4a494f1803/1?pq-origsite=gscholar&cbl=18750&diss=y
  7. [7] Hernández-Castillo, P., Castillo, J. A., & Huelsz, G. (2022). Heat transfer by natural convection and radiation in three dimensional differentially heated tall cavities. Case studies in thermal engineering, 40, 102529. https://doi.org/10.1016/j.csite.2022.102529
  8. [8] Shulepova, E. V, Sheremet, M. A., Oztop, H. F., & Abu-Hamdeh, N. (2021). Mixed convection–radiation in lid-driven cavities with nanofluids and time-dependent heat-generating body. Journal of thermal analysis and calorimetry, 146(2), 725–738. https://doi.org/10.1007/s10973-020-10003-7
  9. [9] Mahapatra, T. R., Pal, D., & Mondal, S. (2013). Mixed convection flow in an inclined enclosure under magnetic field with thermal radiation and heat generation. International communications in heat and mass transfer, 41, 47–56. https://doi.org/10.1016/j.icheatmasstransfer.2012.10.028
  10. [10] Mikhailenko, S. A., Miroshnichenko, I. V, & Sheremet, M. A. (2021). Thermal radiation and natural convection in a large-scale enclosure heated from below: Building application. Building simulation, 14(3), 681–691. https://doi.org/10.1007/s12273-020-0668-4
  11. [11] Mandal, S. K., Deb, A., & Sen, D. (2019). Mixed convective heat transfer with surface radiation in a rectangular channel with heat sources in presence of heat spreader. Thermal science and engineering progress, 14, 100423. https://doi.org/10.1016/j.tsep.2019.100423
  12. [12] Al-Hafidh, M. H. (2008). Parametric study of mixed convective radiative heat transfer in an inclined annulus. Al-khwarizmi engineering journal, 4(4), 45–56. https://alkej.uobaghdad.edu.iq/index.php/alkej/article/view/608/571
  13. [13] Abdulkadhim, A., Abed, I. M., & Mahjoub Said, N. (2021). Review of natural convection within various shapes of enclosures. Arabian journal for science and engineering, 46(12), 11543–11586. https://doi.org/10.1007/s13369-021-05952-6

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Published

2024-12-06

Issue

Vol. 1 No. 4 (2024): Mechanical Technology and Engineering Insights (MTEI)

Section

Articles

How to Cite

Ghaziani, K. ., & Cornelio, O. M. . (2024). Influence of Optical Thickness and Inclination Angle on Coupled Natural Convection and Thermal Radiation in Inclined Cavities. Mechanical Technology and Engineering Insights, 1(4), 198-208. https://doi.org/10.48313/mtei.v1i4.67

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