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This study presents a numerical analysis of natural convection heat transfer within inclined square cavities featuring sinusoidal heating elements. The analysis, conducted using a finite volume approach implemented in ANSYS 16.0, aims to estimate flow and heat regimes under steady-state conditions. Grid-independent analyses were performed to ensure numerical accuracy. The vertical walls of the enclosure were maintained at a cold temperature, while the other two walls were perfectly insulated. Key parameters investigated include Rayleigh numbers (104, 105, 106), corrugation numbers (3, 5, and 7), amplitude values (0.1, 0.3 and 0.5), and enclosure inclination angles (δ = 0°, 15°, 30°, 45°, 60°, 75°). The sinusoidal element's diameter to enclosure length ratio was set at 0.4, and fluid properties were assumed constant with a Prandtl number of 7.0. Results were illustrated using isothermal and flow lines, with heat transfer discussed in terms of local and average Nusselt numbers. Findings indi-cate that at Ra = 106, local Nusselt numbers exhibited a sinusoidal distribution influenced by corruga-tion and amplitude, with a 50% increase in local Nusselt number as amplitude increased from 0.1 to 0.5. Average Nusselt number enhancements were observed with higher corrugation numbers and wave amplitudes, while the number and size of eddies were sensitive to Rayleigh numbers. Enclosure incli-nation significantly affected the formation of vortices, particularly at angles of 60° and 75°.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
491--500
Opis fizyczny
Bibliogr. 30 poz., rys., tab.
Twórcy
autor
- Mechanical Engineering / College of Materials Engineering -Department of Polymer and Petrochemicals Industrials Engineering/ University of Babylon - Babylon City – Hilla – Iraq
autor
- Mechanical Engineering / College of Materials Engineering -Department of Polymer and Petrochemicals Industrials Engineering/ University of Babylon - Babylon City – Hilla – Iraq
autor
- Department of Production Engineering and Safety, Czestochowa University of Technology, Częstochowa, Poland
autor
- Department of Production Engineering and Safety, Czestochowa University of Technology, Częstochowa, Poland
Bibliografia
- 1. Adjlout, O., Imine, O., Azzi, A., Belkadi, M., 2002. Laminar natural convec-tion in an inclined cavity with wavy wall. International Journal of Heat and Mass Transfer, 45(10), 2141–2152. https://doi.org/10.1016/S0017-9310(01)00304-0.
- 2. Ben‐Nakhi, A., Chamkha, A.J., 2007. Conjugate natural convection in a square enclosure with inclined thin fin of arbitrary length. International Journal of Thermal Science,s 46(5), 467-478. DOI: 10.1016/j.ijther-malsci.2006.07.008
- 3. Chamkha, A.J., Hussain, S.H., Ali, F.H., Al-Saadi, A., 2012. Conduction‐combined forced and natural convection in a liddriven parallelogram‐shaped enclosure divided by a solid partition. Progress in Computational Fluid Dynamics An International Journal, 12(5), 309 – 321. DOI:10.1504/PCFD.2012.049101
- 4. Chamkha, A.J., Ismael, M.A., 2013. Conjugate heat transfer in a porous cavity heated by a triangular thick wall. Numerical Heat Transfer Applications, 63(2),144-158. DOI:10.1080/10407782.2012.724327
- 5. Chordiya, J.S., Sharma, R.V., 2019. Numerical study on effect of corrugated diathermal partition on natural convection in a square porous cavity. Journal of Mechanical Science and Technology, 33, 2481–2491. DOI: 10.1007/s12206-019-0445-4.
- 6. Ghaddar, N.K., 1992. Natural convection heat transfer between a uniformly heated cylindrical element and its rectangular enclosure. International Journal of Heat and Mass Transfer, 35(10), 2327-2334. DOI: 10.1016/0017-9310(92)90075-4.
- 7. Ha, M.Y., Jung, M.J., 2000. A numerical study on there-dimensional conju-gate heat transfer of natural convection and conduction in a differentially heated cubic enclosure with a heat- generating cubic conducting body. International Journal of Heat and Mass Transfer, 43(23), 4229–4248. DOI:10.1016/S0017-9310(00)00063-6
- 8. Ha, M.Y., Kim, I.K., Yoon, H.S., Yoon, K.S., Lee, J.R., Balachandar, S., Chun, H.H., 2002. Two-dimensional and unsteady natural convection in a horizontal enclosure with a square body. Numerical Heat Transfer Part A: Applications, 41, 183–210. DOI: 10.1080/104077802317221393.
- 9. Hasan, M.N, Saha, S.C., Gu, Y.T., 2012. Unsteady natural convection within a differentially heated enclosure of sinusoidal corrugated side walls. In-ternational Journal of Heat and Mass Transfer, 55 (21-22), 5696–5708. DOI: 10.1016/j.ijheatmasstransfer.2012.05.065.
- 10. Hasan, M.N., Saha, S., Feroz, C.M., 2008. Natural convection within an en-closure of sinusoidal corrugated top surface, Proceedings of the 4th BSMEASME International Conference on Thermal Engineering, Bang-ladesh Society of Mechanical Engineers, Dhaka, 128-133.
- 11. Hasanuzzamana, M., Saidura, R., Alib, M., Masjukia, H.H., 2007. Effects of variables on natural convective heat transfer through V-corrugated verti-cal plates. International Journal of Mechanical and Materials Engineering, 2 (2), 109-117.
- 12. Hussain, S.H., Sabah, R., Farooq H.A., 2013. Numerical study of natural con-vection heat transfer of airflow inside a corrugated enclosure in the pres-ence of an inclined heated plate. Progress in Computational Fluid Dynamics An International Journal, 13(1), 34 – 43. DOI: 10.1504/PCFD.2013.050648
- 13. Hyun, J.M., Lee, J.W., 1989. Numerical solutions for transient natural con-vection in a square cavity with different sidewall temperatures. Interna-tional Journal of Heat and Fluid Flow 10 (2), 146-151. DOI: 10.1016/0142-727X(89)90009-X
- 14. Ismael, M.A., Pop, I., Chamkha, A.J., 2014. Mixed convection in a lid‐driven square cavity with partial slip. International Journal of Thermal Sciences, 82, 47‐61. DOI: 10.1016/j.ijthermalsci.2014.03.007.
- 15. Jami, M., Mezrhab, A., Bouzidi, M., Lallemand, P., 2007. Lattice Boltzmann method applied to the laminar natural convection in an enclosure with a heat-generating cylinder conducting body. International Journal of Ther-mal Sciences, 46(1), 38–47. DOI: 10.1016/j.ijthermalsci.2006.03.010.
- 16. Kim, B.S., Lee, D.S., Ha, M.Y., Yoon, H.S., 2008. A numerical study of nat-ural convection in a square enclosure with a circular cylinder at different vertical locations International Journal of Heat and Mass Transfer, 51(7-8),1888-1906. DOI: 10.1016/j.ijheatmasstransfer.2007.06.033.
- 17. Lee, J.R., Ha, M.Y., 2005. A numerical study of natural convection in a horizontal enclosure with a conducting body. International Journal of Heat and Mass Transfer, 48(16), 3308–3318. DOI: 10.1016/j.ijheatmas-stransfer.2005.02.026
- 18. Lee, J.R., Ha, M.Y., Balachandar, S., Yoon, H.S., Lee, S.S., 2004. Natural convection in a horizontal layer of fluid with a periodic array of square cylinders in the interior. Physics of Fluids, 16, 1097–1117. DOI: 10.1063/1.1649989
- 19. Mahdi, Q.A., Hamza, M.K., Bakly, N.S.A., 2022. Study of the Impacts of Different Geometry and Aspect Ratio Hot Body on Natural Convection Heat Transfer. International Review of Aerospace Engineering (I.RE.AS.E), 15(5), 271. DOI: DOI: 10.15866/irease.v15i5.22178.
- 20. McBain, G.D., 1997. Natural convection with unsaturated humid air in verti-cal cavities. International Journal of Heat and Mass Transfer, 40(13), 3005-3012. DOI: 10.1016/S0017-9310(96)00371-7.
- 21. Misra, D., Sarkar, A., 1997. Finite element analysis of conjugate natural convection in a square enclosure with a conducting vertical wall. Comput. Methods Appl. Mech. Eng. 141, 205-219.
- 22. Morsli, S., Sabeur-Bendehina, A., 2015. Numerical study on natural convec-tion and entropy generation in squares and corrugated cavities. Journal of Physics: Conference Series, Volume 574, 1–6. DOI 10.1088/1742-6596/574/1/012113.
- 23. Nasrin, R., 2011. Laminar combined magnetoconvection in a wavy enclosure with the effect of heat conducting cylinder. International Communica-tions in Heat and Mass Transfer, 38(9), 1269–1278. DOI:10.1016/j.icheatmasstransfer.2011.06.005.
- 24. Parvin, S., Chamkha, A.J., 2014. An analysis on free convection flow, heat transfer and entropy generation in an odd‐shaped cavity filled with nanofluid. International Communications in Heat and Mass Transfer, 54, 8‐17. DOI: 10.1016/j.icheatmasstransfer.2014.02.031.
- 25. Qusay, R., Farooq, H., Qusay, A., 2019. Computational Study of Mixed Heat Convection in Annular Space between Concentric Rotating Inner and Wavy Surface Outer Cylinders. Pertanika Journal of Science and Technology, 27(4), 1991 - 2013.
- 26. Ravnik, J., Škerget, L., 2015. A numerical study of nanofluid natural convec-tion in a cubic enclosure with a circular and an ellipsoidal cylinder. International Journal of Heat and Mass Transfer, 89, 596–605. DOI: 10.1016/j.ijheatmasstransfer.2015.05.089.
- 27. Sheikholeslami, M., Gorji-Bandpy, M., Pop, I., Soleimani, S., 2013. Numerical study of natural convection between a circular enclosure and a sinus-oidal cylinder using control volume based finite element method. International Journal of Thermal Sciences, 72, 147-158. DOI: 10.1016/j.ijthermalsci.2013.05.004.
- 28. Shohel, M., Prodip Kumar, D., Nasim, H., Sadrul Islam, A.K.M. 2002. Free convection in an enclosure with vertical wavy walls. International Journal of Thermal Sciences, 41(5), 440-446. DOI: 10.1016/S1290-0729(02)01336-4.
- 29. Wright, J.L., Jin, H., Hollands, K.G.T., Naylor, D., 2006. Flow visualization of natural convection in a tall, air-filled vertical cavity. International Jour-nal of Heat and Mass Transfer 49 (5-6), 889–904. DOI: 10.1016/j.ijheat-masstransfer.2005.06.045
- 30. Xu, X., Yu, Z., Hu, Y., Fan, L., Cen, K., 2010. A numerical study of laminar natural convective heat transfer around a horizontal cylinder inside a concentric air-filled triangular enclosure. International Journal of Heat and Mass Transfer, 53(1-3), 345–355. DOI: 10.1016/j.ijheatmasstrans-fer.2009.09.023.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1c468081-315e-4c84-945d-6686f97a8196
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