Mixed convection and heat flow characteristics in a lid-driven enclosure with porous fins: Full numerical modeling and parametric investigations

References

• D. S. Kumar, A. K. Dass, and A. Dewan, “Analysis of non-Darcy models for mixed convection in a porous cavity using a multigrid approach,” Numer. Heat Transfer A, vol. 56, no. 8, pp. 685–708, 2009. DOI: 10.1080/10407780903424674.
   Web of Science ®Google Scholar
• M. M. Rahman, H. F. Oztop, N. A. Rahim, R. Saidur, and K. A. Salem, “MHD mixed convection with joule heating effect in lid-driven cavity with a heated semi-circular source using the finite element technique,” Numer. Heat Transfer A, vol. 60, no. 6, pp. 543–560, 2011. DOI: 10.1080/10407782.2011.609087.
   Google Scholar
• S. Sivasankaran, and K. L. Pan, “Numerical simulation on mixed convection in a porous lid-driven cavity with nonuniform heating on both side walls,” Numer. Heat Transfer A, vol. 61, no. 2, pp. 101–121, 2012. DOI: 10.1080/10407782.2011.643741.
   Web of Science ®Google Scholar
• S. Sivasankaran, H. T. Cheong, M. Bhuvaneswari, and P. Ganesan, “Effect of moving wall direction on mixed convection in an inclined lid-driven cavity with sinusoidal heating,” Numer. Heat Transfer A, vol. 69, no. 6, pp. 630–642, 2016. DOI: 10.1080/10407782.2015.1069669.
   Web of Science ®Google Scholar
• R. Iwatsu, J. M. Hyun, and K. Kuwahara, “Mixed convection in a driven cavity with a stable vertical temperature gradient,” Int. J. Heat Mass Transfer, vol. 36, no. 6, pp. 1601–1608, 1993. DOI: 10.1016/S0017-9310(05)80069-9.
   Web of Science ®Google Scholar
• O. Aydin and W. J. Yang, “Mixed convection in cavities with a locally heated lower wall and moving sidewalls,” Numer. Heat Transfer A, vol. 37, pp. 695–710, 2000. DOI: 10.1080/104077800274037.
   Web of Science ®Google Scholar
• R. Nasrin, “Influences of physical parameters on mixed convection in a horizontal lid-driven cavity with an undulating base surface,” Numer. Heat Transfer A, vol. 61, no. 4, pp. 306–321, 2012. DOI: 10.1080/10407782.2012.647987.
   Web of Science ®Google Scholar
• S. Sivasankaran, V. Sivakumar, and A. K. Hussein, “Numerical study on mixed convection in an inclined lid-driven cavity with discrete heating,” Int. Commun. Heat Mass Trans., vol. 46, pp. 112–125, 2013. DOI: 10.1016/j.icheatmasstransfer.2013.05.022.
   Web of Science ®Google Scholar
• B. Ghasemi and S. M. Aminossadati, “Comparison of mixed convection in a square cavity with an oscillating versus a constant wall,” Numer. Heat Transfer A, vol. 54, no. 7, pp. 726–743, 2008. DOI: 10.1080/10407780802338959.
   Web of Science ®Google Scholar
• H. Lamarti, M. Mahdaoui, R. Bennacer, and A. Chahboun, “Numerical simulation of mixed convection heat transfer of fluid in a cavity driven by an oscillating using lattice Boltzmann method,” Int. J. Heat Mass Transfer, vol. 137, pp. 615–629, 2019. DOI: 10.1016/j.ijheatmasstransfer.2019.03.057.
   Web of Science ®Google Scholar
• M. A. Ismael and A. J. Chamkha, “Mixed convection in lid-driven trapezoidal cavities with an aiding or opposing side wall,” Numer. Heat Transfer A, vol. 68, no. 3, pp. 312–335, 2015. DOI: 10.1080/10407782.2014.986001.
   Web of Science ®Google Scholar
• M. B. Uddin, M. M. Rahman, and M. A. H. Khan, “Hydromagnetic double-diffusive unsteady mixed convection in a trapezoidal enclosure due to uniform and nonuniform heating at the bottom side,” Numer. Heat Transfer A, vol. 68, pp. 205–224, 2015. DOI: 10.1080/10407782.2014.977129.
   Web of Science ®Google Scholar
• A. Ababaei, M. Abbaszadeh, A. Arefmanesh, and A. J. Chamkha, “Numerical simulation of double-diffusive mixed convection and entropy generation in a lid-driven trapezoidal enclosure with a heat source,” Numer. Heat Transfer A, vol. 73, no. 10, pp. 702–720, 2018. DOI: 10.1080/10407782.2018.1459139.
   Web of Science ®Google Scholar
• M. B. Uddin, M. M. Rahman, M. A. H. Khan, and T. A. Ibrahim, “Effect of buoyancy ratio on unsteady thermosolutal combined convection in a lid driven trapezoidal enclosure in the presence of magnetic field,” Comput. Fluids, vol. 114, pp. 284–296, 2015. DOI: 10.1016/j.compfluid.2015.03.017.
   Web of Science ®Google Scholar
• M. Bhuvaneswari, S. Sivasankharan, and Y. J. Kim, “Numerical study on double diffusive mixed convection with a Soret effect in a two-sided lid-driven cavity,” Numer. Heat Transfer A, vol. 59, no. 7, pp. 543–560, 2011. DOI: 10.1080/10407782.2011.561077.
   Web of Science ®Google Scholar
• D. S. Kumar, K. Murugesan, and H. R. Thomas, “Numerical simulation of double diffusive mixed convection in a lid-driven square cavity using velocity-vorticity formulation,” Numer. Heat Transfer A, vol. 54, pp. 837–865, 2008. DOI: 10.1080/10407780802424213.
   Web of Science ®Google Scholar
• C. L. Chen and Y. C. Chung, “Numerical study on mixed convection heat transfer in inclined triangular cavities,” Numer. Heat Transfer A, vol. 67, no. 6, pp. 651–672, 2015. DOI: 10.1080/10407782.2014.949135.
   Web of Science ®Google Scholar
• S. Hussain, K. Mehmood, and M. Sagheer, “MHD mixed convection and entropy generation of water-alumina nanofluid flow in a double lid driven cavity with discrete heating,” J. Magn. Magn. Mater., vol. 419, pp. 140–155, 2016. DOI: 10.1016/j.jmmm.2016.06.006.
   Web of Science ®Google Scholar
• F. Selimefendiagil and H. F. Oztop, “Modeling and optimization of MHD mixed convection in a lid-driven trapezoidal cavity filled with alumina-water nanofluid: Effects of electrical conductivity models,” Int. J. Mech. Sci., vol. 136, pp. 264–278, 2018. DOI: 10.1016/j.ijmecsci.2017.12.035.
   Web of Science ®Google Scholar
• S. E. Ahmed, M. A. Mansour, and A. Mahdy, “MHD mixed convection in an inclined lid-driven cavity with opposing thermal buoyancy force: Effect of non-uniform heating on both side walls,” Nucl. Eng. Des., vol. 265, pp. 938–948, 2013. DOI: 10.1016/j.nucengdes.2013.06.023.
   Web of Science ®Google Scholar
• S. Ray and D. Chatterjee, “MHD mixed convection in a lid-driven cavity including heat conducting solid object and corner heaters with joule heating,” Numer. Heat Transfer A, vol. 66, no. 5, pp. 530–550, 2014. DOI: 10.1080/10407782.2014.892399.
   Web of Science ®Google Scholar
• K. M. Gangawane, “Computational analysis of mixed convection heat transfer characteristics in lid-driven cavity containing triangular block with constant heat flux: Effect of Prandtl and Grashof numbers,” Int. J. Heat Mass Transfer, vol. 105, pp. 34–57, 2017. DOI: 10.1016/j.ijheatmasstransfer.2016.09.061.
   Web of Science ®Google Scholar
• A. I. Alsabery, M. A. Sheremet, A. J. Chamkha, and I. Hashim, “Impact of nonhomogeneous nanofluid model on transient mixed convection in a double lid-driven wavy cavity involving solid circular cylinder,” Int. J. Mech. Sci., vol. 150, pp. 637–655, 2019. DOI: 10.1016/j.ijmecsci.2018.10.069.
   Web of Science ®Google Scholar
• A. I. Alsabery, M. A. Ismael, A. J. Chamkha, and I. Hashim, “Mixed convection of Al2O3 nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno’s two phase model,” Int. J. Heat Mass Transfer, vol. 119, pp. 939–961, 2018. DOI: 10.1016/j.ijheatmasstransfer.2017.11.136.
   Web of Science ®Google Scholar
• B. Karbasifar, M. Akbari, and D. Toghraie, “Mixed convection of water-aluminum oxide nanofluid in an inclined lid-driven cavity containing a hot elliptical centric cylinder,” Int. J. Heat Mass Transfer, vol. 116, pp. 1237–1249, 2018. DOI: 10.1016/j.ijheatmasstransfer.2017.09.110.
   Web of Science ®Google Scholar
• N. Biswas, N. K. Manna, and P. S. Mahapatra, “Enhanced thermal energy transport using adiabatic block inside lid-driven cavity,” Int. J. Heat Mass Transfer, vol. 100, pp. 407–427, 2016. DOI: 10.1016/j.ijheatmasstransfer.2016.04.074.
   Web of Science ®Google Scholar
• S. Mirzakhanlari, K. M. Shirvan, M. Mamourian, and A. J. Chamkha, “Increment of mixed convection heat transfer and decrement of drag coefficient in a lid-driven nanofluid-filled cavity with a conductive rotating circular cylinder at different horizontal locations: A sensitivity analysis,” Powder Tech., vol. 305, pp. 495–508, 2017. DOI: 10.1016/j.powtec.2016.10.029.
   Web of Science ®Google Scholar
• F. Selimefendigil, H. F. Oztop, and A. J. Chamkha, “Analysis of mixed convection of nanofluid in a 3D lid-driven trapezoidal cavity with flexible side surfaces and inner cylinder,” Int. J. Heat Mass Transfer, vol. 87, pp. 40–51, 2017. DOI: 10.1016/j.icheatmasstransfer.2017.06.015.
   Google Scholar
• F. Selimefendigil and H. F. Oztop, “Numerical study of MHD mixed convection in a nanofluid filled lid driven square enclosure with a rotating cylinder,” Int. J. Heat Mass Transfer, vol. 78, pp. 741–754, 2014. DOI: 10.1016/j.ijheatmasstransfer.2014.07.031.
   Web of Science ®Google Scholar
• Y. C. Wang, J. Yang, Y. Pan, X. J. Zhang, and Y. F. Yu, “Turbulent natural convection heat transfer with thermal radiation in a rectangular enclosure partially filled with porous medium,” Numer. Heat Transfer A, vol. 70, no. 6, pp. 639–649, 2016. DOI: 10.1080/10407782.2016.1193346.
   Web of Science ®Google Scholar
• F. Wu, D. L. Lu, and G. Wang, “Numerical analysis of natural convection in a porous cavity with the sinusoidal thermal boundary condition using a thermal nonequilibrium model,” Numer. Heat Transfer A, vol. 69, no. 11, pp. 1280–1296, 2016. DOI: 10.1080/10407782.2015.1127025.
   Web of Science ®Google Scholar
• P. Meshram, S. Bhardwaj, A. Dalal, and S. Pati, “Effects of the inclination angle on natural convection heat transfer and entropy generation in a square porous enclosure,” Numer. Heat Transfer A, vol. 70, no. 11, pp. 1271–1296, 2016. DOI: 10.1080/10407782.2016.1230433.
   Web of Science ®Google Scholar
• P. Biswal and T. Basak, “Investigation of natural convection via heatlines for Rayleigh–Bénard heating in porous enclosures with a curved top and bottom walls,” Numer. Heat Transfer A, vol. 72, no. 4, pp. 291–312, 2017. DOI: 10.1080/10407782.2017.1358986.
   Web of Science ®Google Scholar
• G. C. Pal, N. Goswami, and S. Pati, “Numerical investigation of unsteady natural convection heat transfer and entropy generation from a pair of cylinders in a porous enclosure,” Numer. Heat Transfer A, vol. 74, no. 6, pp. 1323–1341, 2018. DOI: 10.1080/10407782.2018.1507887.
   Web of Science ®Google Scholar
• S. Adjal, S. A. Benouaguef, and B. Zeghmati, “Natural convection in a partially porous cavity: Roads to chaos,” Numer. Heat Transfer A, vol. 74, no. 8, pp. 1443–1467, 2018. DOI: 10.1080/10407782.2018.1525158.
   Web of Science ®Google Scholar
• D. Chiappini, A. Festuccia, and G. Bella, “Coupled lattice Boltzmann finite volume method for conjugate heat transfer in porous media,” Numer. Heat Transfer A, vol. 73, no. 5, pp. 291–306, 2018. DOI: 10.1080/10407782.2018.1444868.
   Web of Science ®Google Scholar
• S. Dutta, A. K. Biswas, and S. Pati, “Natural convection heat transfer and entropy generation inside porous quadrantal enclosure with nonisothermal heating at the bottom wall,” Numer. Heat Transfer A, vol. 73, no. 4, pp. 222–240, 2018. DOI: 10.1080/10407782.2018.1423773.
   Web of Science ®Google Scholar
• M. S. Astanina, M. A. Sheremet, and J. C. Umavathi, “Transient natural convection with temperature-dependent viscosity in a square partially porous cavity having a heat-generating source,” Numer. Heat Transfer A, vol. 73, no. 12, pp. 849–862, 2018. DOI: 10.1080/10407782.2018.1462007.
   Web of Science ®Google Scholar
• Y. Z. Wang and G. L. Qin, “Accurate numerical simulation for non-Darcy double-diffusive mixed convection in a double lid-driven porous cavity using SEM,” Numer. Heat Transfer A, vol. 75, no. 9, pp. 598–615, 2019. DOI: 10.1080/10407782.2019.1608764.
   Web of Science ®Google Scholar
• K. M. Khanafer and A. J. Chamhka, “Mixed convection flow in a lid-driven enclosure filled with a fluid-saturated porous medium,” Int. J. Heat Mass Transfer, vol. 42, no. 13, pp. 2465–2481, 1999. DOI: 10.1016/S0017-9310(98)00227-0.
   Web of Science ®Google Scholar
• K. Khanafer and K. Vafai, “Double-diffusive mixed convection in a lid-driven enclosure filled with a fluid saturated porous medium,” Numer. Heat Transfer A, vol. 42, no. 5, pp. 465–486, 2002. DOI: 10.1080/10407780290059657.
   Web of Science ®Google Scholar
• E. Vishnuvardhanarao and M. K. Das, “Laminar mixed convection in a parallel two sided lid-driven differentially heated square cavity filled with a fluid-saturated porous medium,” Numer. Heat Transfer A, vol. 53, no. 1, pp. 88–110, 2007. DOI: 10.1080/10407780701454006.
   Web of Science ®Google Scholar
• M. Roy, T. Basak, and S. Roy, “Analysis of entropy generation during mixed convection in porous square cavities: Effects of thermal boundary conditions,” Numer. Heat Transfer A, vol. 68, no. 9, pp. 925–957, 2015. DOI: 10.1080/10407782.2015.1023134.
   Web of Science ®Google Scholar
• M. Roy, S. Roy, and T. Basak, “Analysis of entropy generation for mixed convection within porous square cavities: Effects of various moving walls,” Numer. Heat Transfer A, vol. 70, no. 7, pp. 738–762, 2016. DOI: 10.1080/10407782.2016.1193354.
   Web of Science ®Google Scholar
• H. F. Oztop, “Combined convection heat transfer in a porous lid-driven enclosure due to heater with finite length,” Int. Commun. Heat Mass Trans., vol. 33, no. 6, pp. 772–779, 2006. DOI: 10.1016/j.icheatmasstransfer.2006.02.003.
   Web of Science ®Google Scholar
• A. M. Al-Amiri, “Analysis of momentum and energy transfer in a lid-driven cavity filled with a porous medium,” Int. J. Heat Mass Transfer, vol. 43, no. 19, pp. 3513–3527, 2000. DOI: 10.1016/S0017-9310(99)00391-9.
   Web of Science ®Google Scholar
• N. Biswas and N. K. Manna, “Enhanced convection heat transfer in lid-driven porous cavity with aspiration,” Int. J. Heat Mass Transfer, vol. 114, pp. 430–452, 2017. DOI: 10.1016/j.ijheatmasstransfer.2017.06.078.
   Web of Science ®Google Scholar
• S. Sivasankaran, M. A. Mansour, A. M. Bashad, and M. Bhuvaneswari, “MHD mixed convection of Cu-water nanofluid in a two-sided lid-driven porous cavity with a partial slip,” Numer. Heat Transfer A, vol. 70, no. 12, pp. 1356–1370, 2016. DOI: 10.1080/10407782.2016.1243957.
   Web of Science ®Google Scholar
• B. Pekmen and M. T. Sezgin, “MHD flow and heat transfer in a lid-driven porous enclosure,” Comput. Fluids, vol. 89, pp. 191–199, 2014. DOI: 10.1016/j.compfluid.2013.10.045.
   Web of Science ®Google Scholar
• M. Sheikholeslami, S. A. Shehza, F. M. Abbasi, and Z. X. Li, “Nanofluid flow and forced convection heat transfer due to Lorentz forces in a porous lid driven cubic enclosure with hot obstacle,” Comput. Methods Appl. Mech. Engrg., vol. 338, pp. 491–505, 2018. DOI: 10.1016/j.cma.2018.04.020.
   Web of Science ®Google Scholar
• M. Rajarathinam, N. Nithyadevi, and A. J. Chamkha, “Heat transfer enhancement of mixed convection in an inclined porous cavity using Cu-water nanofluid,” Adv. Powder Technol., vol. 29, no. 3, pp. 590–605, 2018. DOI: 10.1016/j.apt.2017.11.032.
   Web of Science ®Google Scholar
• X. D. Shi and J. M. Khodadadi, “Laminar fluid flow and heat transfer in a lid-driven cavity due to a thin fin,” J. Heat Transfer, vol. 124, no. 6, pp. 1056–1063, 2002. DOI: 10.1115/1.1517272.
   Web of Science ®Google Scholar
• X. D. Shi and J. M. Khodadadi, “Fluid flow and heat transfer in a lid-driven cavity due to an oscillating thin fin: Transient behavior,” J. Heat Transfer, vol. 126, no. 6, pp. 924–930, 2004. DOI: 10.1115/1.1833362.
   Web of Science ®Google Scholar
• X. D. Shi and J. M. Khodadadi, “Periodic state of fluid flow and heat transfer in a lid-driven cavity due to an oscillating thin fin,” Int. J. Heat Mass Transfer, vol. 48, no. 25–26, pp. 5323–5337, 2005. DOI: 10.1016/j.ijheatmasstransfer.2005.07.026.
   Web of Science ®Google Scholar
• C. Z. Sun, B. Yu, H. F. Oztop, Y. Wang, and J. J. Wei, “Control of mixed convection in lid-driven enclosures using conductive triangular fins,” Int. J. Heat Mass Transfer, vol. 54, no. 4, pp. 894–909, 2011. DOI: 10.1016/j.ijheatmasstransfer.2010.09.068.
   Web of Science ®Google Scholar
• A. L. Razera, R. J. C. Fonseca, L. A. Isoldi, E. D. Santos, L. A. O. Rocha, and C. Biserni, “Constructal design of a semi-elliptical fin inserted in a lid-driven square cavity with mixed convection,” Int. J. Heat Mass Transfer, vol. 126, pp. 81–94, 2018. DOI: 10.1016/j.ijheatmasstransfer.2018.05.157.
   Web of Science ®Google Scholar
• A. A. R. Darzi, M. Farhadi, and A. M. Lavasani, “Two phase mixture model of nano-enhanced mixed convection heat transfer in finned enclosure,” Chem. Eng. Res. Des., vol. 3, pp. 294–304, 2016. DOI: 10.1016/j.cherd.2016.05.019.
   Google Scholar
• S. K. Mahapatra, A. Sarkar, and A. Sarkar, “Numerical simulation of opposing mixed convection in differentially heated square enclosure with partition,” Int. J. Therm. Sci., vol. 46, no. 10, pp. 970–979, 2007. DOI: 10.1016/j.ijthermalsci.2006.11.017.
   Web of Science ®Google Scholar
• K. Vafai. Handbook of Porous Media, 2nd ed. New York: Taylor and Francis Group, 2005.
   Google Scholar
• D. A. Nield and A. Bejan. Convection in Porous Media, 4th ed. New York: Springer Science + Business Media, 2013.
   Google Scholar
• K. Khanafer, A. AlAmiri, and J. Bull, “Laminar natural convection heat transfer in a differentially heated cavity with a thin porous fin attached to the hot wall,” Int. J. Heat Mass Transfer, vol. 87, pp. 59–70, 2015. DOI: 10.1016/j.ijheatmasstransfer.2015.03.077.
   Web of Science ®Google Scholar
• B. Alshuraiaan and K. Khanafer, “The effect of the position of the heated thin porous fin on the laminar natural convection heat transfer in a differentially heated cavity,” Int. Commun. Heat Mass Trans., vol. 78, pp. 190–199, 2016. DOI: 10.1016/j.icheatmasstransfer.2016.09.014.
   Web of Science ®Google Scholar
• M. Siavashi, R. Yousofvand, and S. Rezanijad, “Nanofluid and porous fins effects on natural convection and entropy generation of flow inside a cavity,” Adv. Power Technol., vol. 29, no. 1, pp. 142–156, 2018. DOI: 10.1016/j.apt.2017.10.021.
   Web of Science ®Google Scholar
• W. Al-Kouz, A. Alshare, S. Kiwan, A. Al-Muhtady, A. Alkhalidi, and H. Saadeh, “Two-dimensional analysis of low-pressure flows in an inclined square cavity with two fins attached to the hot wall,” Int. J. Therm. Sci., vol. 126, pp. 181–193, 2018. DOI: 10.1016/j.ijthermalsci.2018.01.005.
   Web of Science ®Google Scholar
• S. Kimura and A. Bejan, “The ''Heatline” visualization of convective heat transfer,” J. Heat Transfer, vol. 105, no. 4, pp. 916–919, 1983. DOI: 10.1115/1.3245684.
   Web of Science ®Google Scholar
• F. Y. Zhao, D. Liu, and G. F. Tang, “Conjugate heat transfer in square enclosures,” Heat Mass Transfer, vol. 43, no. 9, pp. 907–922, 2007. DOI: 10.1007/s00231-006-0136-4.
   Web of Science ®Google Scholar
• F. Y. Zhao, D. Liu, and G. F. Tang, “Application issues of the streamline, heatline, and massline for conjugate heat and mass transfer,” Int. J. Heat Mass Transfer, vol. 50, no. 1–2, pp. 320–334, 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.06.026.
   Web of Science ®Google Scholar
• D. Liu, F. Y. Zhao, and G. F. Tang, “Conjugate heat transfer in an enclosure with a centered conducting body imposed sinusoidal temperature profiles on one side,” Numer. Heat Transfer A, vol. 53, no. 2, pp. 204–223, 2007. DOI: 10.1080/10407780701454030.
   Web of Science ®Google Scholar
• S. V. Patankar, Numerical Heat Transfer and Fluid Flow. Washington DC: Hemisphere, 1980.
   Google Scholar