Numerical simulation of double-diffusive mixed convection and entropy generation in a lid-driven trapezoidal enclosure with a heat source

References

• A. Bejan, Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes. Boca Raton, FL: CRC Press, 1995.
   Google Scholar
• S. Mahmud and A. S. Islam, “Laminar free convection and entropy generation inside an inclined wavy enclosure,” Int. J. Therm. Sci., vol. 42, pp. 1003–1012, 2003. DOI: 10.1016/S1290-0729(03)00076-0.
   Web of Science ®Google Scholar
• C. Balaji, M. Hölling, and H. Herwig, “Entropy generation minimization in turbulent mixed convection flows,” Int. Commun. Heat Mass Tran., vol. 34, pp. 544–552, 2007. DOI: 10.1016/j.icheatmasstransfer.2007.01.015.
   Web of Science ®Google Scholar
• I. Zahmatkesh, “On the importance of thermal boundary conditions in heat transfer and entropy generation for natural convection inside a porous enclosure,” Int. J. Therm. Sci., vol. 47, pp. 339–346, 2008. DOI: 10.1016/j.ijthermalsci.2007.02.008.
   Web of Science ®Google Scholar
• A. H. Mahmoudi, M. Shahi, and F. Talebi, “Entropy generation due to natural convection in a partially open cavity with a thin heat source subjected to a nanofluid,” Numer. Heat Tr. A Appl., vol. 61, pp. 283–305, 2012. DOI: 10.1080/10407782.2012.647990.
   Web of Science ®Google Scholar
• M. Esmaeilpour and M. Abdollahzadeh, “Free convection and entropy generation of nanofluid inside an enclosure with different patterns of vertical wavy walls,” Int. J. Therm. Sci., vol. 52, pp. 127–136, 2012. DOI: 10.1016/j.ijthermalsci.2011.08.019.
   Web of Science ®Google Scholar
• A. Bejan, Convection Heat Transfer. Hoboken, NJ: John Wiley & Sons, 2013.
   Google Scholar
• A. Arefmanesh, A. Aghaei, and H. Ehteram, “Mixed convection heat transfer in a CuO–water filled trapezoidal enclosure, effects of various constant and variable properties of the nanofluid,” Appl. Math. Model., vol. 40, pp. 815–831, 2016. DOI: 10.1016/j.apm.2015.10.043.
   Web of Science ®Google Scholar
• M. Abbaszadeh, A. Ababaei, A. A. Abbasian Arani, and A. A. Sharifabadi, “MHD forced convection and entropy generation of CuO-water nanofluid in a microchannel considering slip velocity and temperature jump,” J. Braz. Soc. Mech. Sci. Eng., vol. 3, pp. 775–790, 2016. DOI: 10.1007/s40430-016-0578-7.
   Google Scholar
• A. Ababaei, M. Abbaszadeh, and A. A. Abbasian Arani, “Determining the optimum arrangement of micromixers in a microchannel filled with CuO-water nanofluid via minimizing entropy generation,” Defect Diffu. Forum., vol. 378, pp. 39–58, 2017. DOI: 10.4028/www.scientific.net/DDF.378.39.
   Google Scholar
• A. Ababaei, A. A. Abbasian Arani, and A. Aghaei, “Numerical investigation of forced convection of nanofluid flow in microchannels: effect of adding micromixer,” J. Appl. Fluid Mech., vol. 10, pp. 1759–1772, 2017. DOI: 10.18869/acadpub.jafm.73.243.27364.
   Web of Science ®Google Scholar
• A. Baytaş, “Entropy generation for natural convection in an inclined porous cavity,” Int. J. Heat Mass Tran., vol. 43, pp. 2089–2099, 2000. DOI: 10.1016/S0017-9310(99)00291-4.
   Web of Science ®Google Scholar
• S. Mahmud and R. A. Fraser, “Magnetohydrodynamic free convection and entropy generation in a square porous cavity,” Int. J. Heat Mass Tran., vol. 47, pp. 3245–3256, 2004. DOI: 10.1016/j.ijheatmasstransfer.2004.02.005.
   Web of Science ®Google Scholar
• G. Ovando-Chacon, S. Ovando-Chacon, and J. Prince-Avelino, “Entropy generation due to mixed convection in an enclosure with heated corners,” Int. J. Heat Mass Tran., vol. 55, pp. 695–700, 2012. DOI: 10.1016/j.ijheatmasstransfer.2011.10.041.
   Web of Science ®Google Scholar
• H. Khorasanizadeh, M. Nikfar, and J. Amani, “Entropy generation of Cu–water nanofluid mixed convection in a cavity,” Eur. J. Mech. B-Fluid., vol. 37, pp. 143–152, 2013. DOI: 10.1016/j.euromechflu.2012.09.002.
   Web of Science ®Google Scholar
• R. Nayak, S. Bhattacharyya, and I. Pop, “Numerical study on mixed convection and entropy generation of a nanofluid in a lid-driven square enclosure,” J. Heat Transf., vol. 138, p. 012503, 2016. DOI: 10.1115/1.4031178.
   Web of Science ®Google Scholar
• A. Aghaei, H. Khorasanizadeh, G. Sheikhzadeh, and M. Abbaszadeh, “Numerical study of magnetic field on mixed convection and entropy generation of nanofluid in a trapezoidal enclosure,” J. Magn. Magn. Mater., vol. 403, pp. 133–145, 2016. DOI: 10.1016/j.jmmm.2015.11.067.
   Web of Science ®Google Scholar
• C. Beghein, F. Haghighat, and F. Allard, “Numerical study of double-diffusive natural convection in a square cavity,” Int. J. Heat Mass Tran., vol. 35, pp. 833–846, 1992. DOI: 10.1016/0017-9310(92)90251-M.
   Web of Science ®Google Scholar
• K. Ghorayeb and A. Mojtabi, “Double diffusive convection in a vertical rectangular cavity,” Phys Fluids., vol. 9, pp. 2339–2348, 1997. DOI: 10.1063/1.869354.
   Web of Science ®Google Scholar
• M. A. Teamah, “Double-diffusive laminar natural convection in a symmetrical trapezoidal enclosure,” Alexandria Eng. J., vol. 45, pp. 251–263, 2006.
   Google Scholar
• M. Corcione, S. Grignaffini, and A. Quintino, “Correlations for the double-diffusive natural convection in square enclosures induced by opposite temperature and concentration gradients,” Int. J. Heat Mass Tran., vol. 81, pp. 811–819, 2015. DOI: 10.1016/j.ijheatmasstransfer.2014.11.013.
   Web of Science ®Google Scholar
• M. Nazari, L. Louhghalam, and M. H. Kayhani, “Lattice Boltzmann simulation of double diffusive natural convection in a square cavity with a hot square obstacle,” Chinese J. Chem. Eng., vol. 23, pp. 22–30, 2015. DOI: 10.1016/j.cjche.2014.10.008.
   Web of Science ®Google Scholar
• G. Swapna, L. Kumar, and P. Rana, “Finite element study of radiative double-diffusive mixed convection magneto-micropolar flow in a porous medium with chemical reaction and convective condition,” Alexandria Eng. J., vol. 57, pp. 107–120, 2017. DOI: 10.1016/j.aej.2016.12.001.
   Google Scholar
• A. A. Abbasian Arani, A. Ababaei, G. A. Sheikhzadeh, and A. Aghaei, “Numerical simulation of double-diffusive mixed convection in an enclosure filled with nanofluid using Bejan’s heatlines and masslines,” Alexandria Eng. J., 2017. DOI: 10.1016/j.aej.2017.03.034.
   Google Scholar
• A. Bejan, “Combined heat and lass transfer by natural convection in a vertical enclosure,” J. Heat Transf., vol. 109, pp. 104–112, 1987. DOI: 10.1115/1.3248027.
   Web of Science ®Google Scholar
• V. Costa, “Double diffusive natural convection in a square enclosure with heat and mass diffusive walls,” Int. J. Heat Mass Tran., vol. 40, pp. 4061–4071, 1997. DOI: 10.1016/S0017-9310(97)00061-6.
   Web of Science ®Google Scholar
• A. M. Al-Amiri, K. M. Khanafer, and I. Pop, “Numerical simulation of combined thermal and mass transport in a square lid-driven cavity,” Int. J. Therm. Sci., vol. 46, pp. 662–671, 2007. DOI: 10.1016/j.ijthermalsci.2006.10.003.
   Web of Science ®Google Scholar
• M. Hasanuzzaman, M. Rahman, and H. F. Öztop, “Effects of Lewis number on heat and mass transfer in a triangular cavity,” Int. Commun. Heat Mass Tran., vol. 39, pp. 1213–1219, 2012. DOI: 10.1016/j.icheatmasstransfer.2012.07.002.
   Web of Science ®Google Scholar
• F. Oueslati, B. Ben-Beya, and T. Lili, “Double-diffusive natural convection and entropy generation in an enclosure of aspect ratio 4 with partial vertical heating and salting sources,” Alexandria Eng. J., vol. 52, pp. 605–625, 2013. DOI: 10.1016/j.aej.2013.09.006.
   Google Scholar
• Q. Qin, Z. Xia, and Z. F. Tian, “High accuracy numerical investigation of double-diffusive convection in a rectangular enclosure with horizontal temperature and concentration gradients,” Int. J. Heat Mass Tran., vol. 71, pp. 405–423, 2014. DOI: 10.1016/j.ijheatmasstransfer.2013.12.035.
   Web of Science ®Google Scholar
• N. Arbin, H. Saleh, and I. Hashim, “Numerical investigation of double-diffusive convection in an open cavity with partially heated wall via heatline approach,” Int. J. Therm. Sci., vol. 100, pp. 169–184, 2016. DOI: 10.1016/j.ijthermalsci.2015.09.017.
   Web of Science ®Google Scholar
• M. A. Teamah and A. I. Shehata, “Magnetohydrodynamic double diffusive natural convection in trapezoidal cavities,” Alexandria Eng. J., vol. 55, pp. 1037–1046, 2016. DOI: 10.1016/j.aej.2016.02.033.
   Web of Science ®Google Scholar
• S. Kimura and A. Bejan, “The ‘heatline’ visualization of convective heat transfer,” J. Heat Transf., vol. 105, pp. 916–919, 1983. DOI: 10.1115/1.3245684.
   Web of Science ®Google Scholar
• V. Costa, “Bejan’s heatlines and masslines for convection visualization and analysis,” Appl. Mech. Rev., vol. 59, pp. 126–145, 2006. DOI: 10.1115/1.2177684.
   Web of Science ®Google Scholar
• P. Biswal and T. Basak, “Bejan’s heatlines and numerical visualization of convective heat flow in differentially heated enclosures with concave/convex side walls,” Energy, vol. 64, pp. 69–94, 2014. DOI: 10.1016/j.energy.2013.10.032.
   Web of Science ®Google Scholar
• P. Biswal and T. Basak, “Sensitivity of heatfunction boundary conditions on invariance of Bejan’s heatlines for natural convection in enclosures with various wall heatings,” Int. J. Heat Mass Tran., vol. 89, pp. 1342–1368, 2015. DOI: 10.1016/j.ijheatmasstransfer.2015.05.030.
   Web of Science ®Google Scholar
• M. Rahman, H. F. Öztop, and S. Mekhilef, “Simulation of unsteady heat and mass transport with heatline and massline in a partially heated open cavity,” Appl. Math. Model., vol. 39, pp. 1597–1615, 2015. DOI: 10.1016/j.apm.2014.09.022.
   Web of Science ®Google Scholar
• A. Alsabery, A. Chamkha, and S. Hussain, “Heatline visualization of natural convection in a trapezoidal cavity partly filled with nanofluid porous layer and partly with non-Newtonian fluid layer,” Adv Powder Technol., vol. 26, pp. 1230–1244, 2015. DOI: 10.1016/j.apt.2015.06.005.
   Web of Science ®Google Scholar
• H. F. Oztop and K. Al-Salem, “A review on entropy generation in natural and mixed convection heat transfer for energy systems,” Renew. Sust. Energ Rev., vol. 16, pp. 911–920, 2012. DOI: 10.1016/j.rser.2011.09.012.
   Web of Science ®Google Scholar
• M. Magherbi, H. Abbassi, and N. Hidouri, “Second law analysis in convective heat and mass transfer,” Entropy, vol. 8, pp. 1–17, 2006. DOI: 10.3390/e8010001.
   Google Scholar
• K. Ghachem, L. Kolsi, and C. Mâatki, “Numerical simulation of three-dimensional double diffusive free convection flow and irreversibility studies in a solar distiller,” Int. Commun. Heat Mass Trans., vol. 39, pp. 869–876, 2012. DOI: 10.1016/j.icheatmasstransfer.2012.04.010.
   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 Tran., vol. 50, pp. 320–334, 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.06.026.
   Web of Science ®Google Scholar
• H. K. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics: the Finite Volume Method. Harlow, Essex, England: Pearson Education, 2007.
   Google Scholar
• S. V. Patankar, Numerical Heat Transfer and Fluid Flow., New York, NY, Hemisphere, 1980, pp. 25–73.
   Google Scholar
• G. G. Ilis, M. Mobedi, and B. Sunden, “Effect of aspect ratio on entropy generation in a rectangular cavity with differentially heated vertical walls,” Int. Commun. Heat Mass Tran., vol. 35, pp. 696–703, 2008. DOI: 10.1016/j.icheatmasstransfer.2008.02.002.
   Web of Science ®Google Scholar