Effect of aspect ratio and nonuniform temperature on mixed convection in a double lid-driven cavity

References

• R. Iwatsu, J. M. Hyun and K. Kuwahara, “Numerical simulation of flows driven by a torsionally oscillating lid in a square cavity,” J. Fluids Eng., vol. 114, no. 2, pp. 143–151, Jun. 1992. DOI: 10.1115/1.2910008.
   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 Transf., vol. 36, no. 6, pp. 1601–1608, Jan. 1993. DOI: 10.1016/S0017-9310(05)80069-9.
   Web of Science ®Google Scholar
• R. Iwatsu and J. M. Hyun, “Three-dimensional driven-cavity flows with a vertical temperature gradient,” Int. J. Heat Mass Transf., vol. 38, no. 18, pp. 3319–3328, Dec 1995. DOI: 10.1016/0017-9310(95)00080-S.
   Web of Science ®Google Scholar
• R. Schreiber and H. B. Keller, “Driven cavity flows by efficient numerical techniques,” J. Comput. Phys., vol. 49, no. 2, pp. 310–333, Feb. 1983. DOI: 10.1016/0021-9991(83)90129-8.
   Web of Science ®Google Scholar
• A. Al-Amiri, K. Khanafer, J. Bull and I. Pop, “Effect of sinusoidal wavy bottom surface on mixed convection heat transfer in a lid-driven cavity,” Int. J. Heat Mass Transf., vol. 50, no. 9–10, pp. 1771–1780, May 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.10.008.
   Web of Science ®Google Scholar
• S. Mekroussi, D. Nehari, M. Bouzit and N.-E. S. Chemloul, “Analysis of mixed convection in an inclined lid-driven cavity with a wavy wall,” J Mech Sci Technol., vol. 27, no. 7, pp. 2181–2190, July 2013. DOI: 10.1007/s12206-013-0533-9.
   Web of Science ®Google Scholar
• W.-S. Fu, C.-C. Tseng and Y.-C. Chen, “Natural convection in an enclosure with non-uniform wall temperature,” Int. Commun. Heat Mass Transf., vol. 21, no. 6, pp. 819–828, Nov. 1994. DOI: 10.1016/0735-1933(94)90035-3.
   Web of Science ®Google Scholar
• C. C. Jahnke, V. Subramanyan and D. T. Valentine, “On the convection in an enclosed container with unstable side wall temperature distributions,” Int. J. Heat Mass Transf., vol. 41, no. 15, pp. 2307–2320, 1998. DOI: 10.1016/S0017-9310(97)00348-7.
   Web of Science ®Google Scholar
• A. Kadari, N.-E. Sad Chemloul and S. Mekroussi, “Numerical investigation of Laminar natural convection in a square cavity with wavy wall and horizontal fin attached to the hot wall,” J. Heat Transf., vol. 140, no. 7, pp. 072503, 2018.
   PubMed Web of Science ®Google Scholar
• D. Poulikakos, “Natural convection in a confined fluid-filled space driven by a single vertical wall with warm and cold regions,” J. Heat Transf., vol. 107, no. 4, pp. 867–876, Nov. 1985. DOI: 10.1115/1.3247515.
   Web of Science ®Google Scholar
• B. V. Rathish Kumar and Shalini, “Natural convection in a thermally stratified wavy vertical porous enclosure,” Numer. Heat Transf. Part Appl., vol. 43, no. 7, pp. 753–776, 2003. DOI: 10.1080/713838124.
   Web of Science ®Google Scholar
• M. Sathiyamoorthy, T. Basak, S. Roy and I. Pop, “Steady natural convection flows in a square cavity with linearly heated side wall (s),” Int. J. Heat Mass Transf., vol. 50, no. 3–4, pp. 766–775, 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.06.019.
   Web of Science ®Google Scholar
• S. Mekroussi, S. Kherris, B. Mebarki and A. Benchatti, “Mixed convection in complicated cavity with non-uniform heating on both sidewalls,” IJHT, vol. 35, no. 4, pp. 1023–1033, 2017. DOI: 10.18280/ijht.350439.
   Google Scholar
• E. Bilgen and R. B. Yedder, “Natural convection in enclosure with heating and cooling by sinusoidal temperature profiles on one side,” Int. J. Heat Mass Transf., vol. 50, no. 1–2, pp. 139–150, 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.06.027.
   Web of Science ®Google Scholar
• I. E. Sarris, I. Lekakis and N. S. Vlachos, “Natural convection in a 2D enclosure with sinusoidal upper wall temperature,” Numer. Heat Transf. Part Appl., vol. 42, no. 5, pp. 513–530, 2002. DOI: 10.1080/10407780290059675.
   Web of Science ®Google Scholar
• Y. Varol, H. F. Oztop and I. Pop, “Numerical analysis of natural convection for a porous rectangular enclosure with sinusoidally varying temperature profile on the bottom wall,” Int. Commun. Heat Mass Transf., vol. 35, no. 1, pp. 56–64, 2008. DOI: 10.1016/j.icheatmasstransfer.2007.05.015.
   Web of Science ®Google Scholar
• N. H. Saeid and A. A. Mohamad, “Natural convection in a porous cavity with spatial sidewall temperature variation,” Int. J. Numer. Methods Heat Fluid Flow., vol. 15, no. 6, pp. 555–566, 2005.
   Web of Science ®Google Scholar
• N. H. Saeid and Y. Yaacob, “Natural convection in a square cavity with spatial side-wall temperature variation,” Numer. Heat Transf. Part Appl., vol. 49, no. 7, pp. 683–697, 2006. DOI: 10.1080/10407780500359943.
   Web of Science ®Google Scholar
• T. Basak, S. Roy and A. R. Balakrishnan, “Effects of thermal boundary conditions on natural convection flows within a square cavity,” Int. J. Heat Mass Transf., vol. 49, no. 23–24, pp. 4525–4535, 2006. DOI: 10.1016/j.ijheatmasstransfer.2006.05.015.
   Web of Science ®Google Scholar
• A. Dalal and M. K. Das, “Natural convection in a rectangular cavity heated from below and uniformly cooled from the top and both sides,” Numer. Heat Transf. Part Appl., vol. 49, no. 3, pp. 301–322, 2006. DOI: 10.1080/10407780500343749.
   Web of Science ®Google Scholar
• A. Dalal and M. K. Das, “Numerical study of laminar natural convection in a complicated cavity heated from top with sinusoidal temperature and cooled from other sides,” Comput. Fluid., vol. 36, no. 4, pp. 680–700, 2007. DOI: 10.1016/j.compfluid.2006.05.005.
   Web of Science ®Google Scholar
• S. Sivasankaran, V. Sivakumar and P. Prakash, “ Numerical study on mixed convection in a lid-driven cavity with non-uniform heating on both sidewalls,” Int. J. Heat Mass Transf., vol. 53, no. 19–20, pp. 4304–4315, Sept. 2010. DOI: 10.1016/j.ijheatmasstransfer.2010.05.059.
   Web of Science ®Google Scholar
• M. Bhuvaneswari, S. Sivasankaran and Y. J. Kim, “Magnetoconvection in a square enclosure with sinusoidal temperature distributions on both side walls,” Numer. Heat Transf. Part Appl., vol. 59, no. 3, pp. 167–184, 2011. DOI: 10.1080/10407782.2011.541219.
   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 square cavity with sinusoidal heating,” Numer. Heat Transf. Part Appl., vol. 69, no. 6, pp. 630–642, 2016. DOI: 10.1080/10407782.2015.1069669.
   Web of Science ®Google Scholar
• S. Sivanandam, A. J. Chamkha, F. O. M. Mallawi, M. S. Alghamdi and A. M. Alqahtani, “Effects of entropy generation, thermal radiation and moving-wall direction on mixed convective flow of nanofluid in an enclosure,” Mathematics, vol. 8, no. 9, pp. 1471, Sept. 2020. DOI: 10.3390/math8091471.
   Web of Science ®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 Transf. Part Appl., vol. 61, no. 2, pp. 101–121, 2012. DOI: 10.1080/10407782.2011.643741.
   Web of Science ®Google Scholar
• S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere. Washington, DC: Pub. Co., 1980.
   Google Scholar
• T. Hayase, J. A. C. Humphrey and R. Greif, “A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures,” J. Comput. Phys., vol. 98, no. 1, pp. 108–118, 1992. DOI: 10.1016/0021-9991(92)90177-Z.
   Web of Science ®Google Scholar
• M. M. Abdelkhalek, “Mixed convection in a square cavity by a perturbation technique,” Comput. Mater. Sci., vol. 42, no. 2, pp. 212–219, 2008. DOI: 10.1016/j.commatsci.2007.07.004.
   Web of Science ®Google Scholar
• K. Khanafer, “Comparison of flow and heat transfer characteristics in a lid-driven cavity between flexible and modified geometry of a heated bottom wall,” Int. J. Heat Mass Transf., vol. 78, pp. 1032–1041, Nov. 2014. DOI: 10.1016/j.ijheatmasstransfer.2014.07.065.
   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 Transf., vol. 43, no. 19, pp. 3513–3527, 2000. DOI: 10.1016/S0017-9310(99)00391-9.
   Web of Science ®Google Scholar
• P. M. Gresho, R. L. Lee and R. L. Sani, “On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions,” Recent Adv. Numer. Method. Fluid., vol. 1, pp. 27–79, 1980.
   Google Scholar