Finite element-based evaluation on the role of various shaped containers (oil saturated porous media) for entropy generation versus heating efficiency involving thermal convection with identical heating

References

• B. Wang, Y. Liu, and L. Li, “Nanofluid double diffusive natural convection in a porous cavity under multiple force fields,” Numer. Heat Transfer Part A Appl., vol. 77, no. 4, pp. 343–360, 2020. DOI: 10.1080/10407782.2019.1693195.
   Web of Science ®Google Scholar
• W. Wang, B. W. Li, Z. H. Rao, G. Liu, and S. M. Liao, “Two and three-dimensional simulation of natural convection flow of CuO-water in a horizontal concentric annulus considering nanoparticles’ Brownian motion,” Numer. Heat Transfer Part A Appl., vol. 76, no. 12, pp. 967–990, 2019. DOI: 10.1080/10407782.2019.1674097.
   Web of Science ®Google Scholar
• S. Mousavi, M. Siavashi, and M. M. Heyhat, “Numerical melting performance analysis of a cylindrical thermal energy storage unit using nano-enhanced PCM and multiple horizontal fins,” Numer. Heat Transfer Part A Appl., vol. 75, no. 8, pp. 560–577, 2019. DOI: 10.1080/10407782.2019.1606634.
   Web of Science ®Google Scholar
• Q. Yu, Y. W. Lu, D. W. Peng, Y. T. Wu, and C. F. Ma, “Natural convection heat transfer of molten salt nanofluids around vertical array of heated horizontal cylinders,” Numer. Heat Transfer Part A Appl., vol. 74, no. 10, pp. 1666–1684, 2018. DOI: 10.1080/10407782.2018.1543919.
   Web of Science ®Google Scholar
• A. Tahmasebi, M. Mahdavi, and M. Ghalambaz, “Local thermal nonequilibrium conjugate natural convection heat transfer of nanofluids in a cavity partially filled with porous media using Buongiorno’s model,” Numer. Heat Transfer Part A Appl., vol. 73, no. 4, pp. 254–276, 2018. DOI: 10.1080/10407782.2017.1422632.
   Web of Science ®Google Scholar
• M. T. Nguyen, A. M. Aly, and S. W. Lee, “Effect of a wavy interface on the natural convection of a nanofluid in a cavity with a partially layered porous medium using the ISPH method,” Numer. Heat Transfer Part A Appl., vol. 72, no. 1, pp. 68–88, 2017. DOI: 10.1080/10407782.2017.1353385.
   Web of Science ®Google Scholar
• W. Q. He, G. L. Qin, Y. Z. Wang, and Z. Z. Bao, “A segregated spectral element method for thermomagnetic convection of paramagnetic fluid in rectangular enclosures with sinusoidal temperature distribution on one side wall,” Numer. Heat Transfer Part A Appl., vol. 76, no. 2, pp. 51–72, 2019. DOI: 10.1080/10407782.2019.1615787.
   Web of Science ®Google Scholar
• M. Izadi, H. F. Oztop, M. A. Sheremet, S. A. M. Mehryan, and N. Abu-Hamdeh, “Coupled FHD-MHD free convection of a hybrid nanoliquid in an inversed T-shaped enclosure occupied by partitioned porous media,” Numer. Heat Transfer Part A Appl., vol. 76, no. 6, pp. 479–498, 2019. DOI: 10.1080/10407782.2019.1637626.
   Web of Science ®Google Scholar
• N. S. Gibanov, M. A. Sheremet, H. F. Oztop, and K. Al-Salem, “Effect of uniform inclined magnetic field on natural convection and entropy generation in an open cavity having a horizontal porous layer saturated with a ferrofluid,” Numer. Heat Transfer Part A Appl., vol. 72, no. 6, pp. 479–494, 2017. DOI: 10.1080/10407782.2017.1386515.
   Web of Science ®Google Scholar
• M. Ghalambaz, A. Doostanidezfuli, H. Zargartalebi, and A. J. Chamkha, “MHD phase change heat transfer in an inclined enclosure: Effect of a magnetic field and cavity inclination,” Numer. Heat Transfer Part A Appl., vol. 71, no. 1, pp. 91–109, 2017. DOI: 10.1080/10407782.2016.1244397.
   Web of Science ®Google Scholar
• S. Husain and M. A. Siddiqui, “Numerical and experimental analysis of natural convection flow boiling of water in internally heated vertical annulus,” Numer. Heat Transfer Part A Appl., vol. 73, no. 9, pp. 624–653, 2018. DOI: 10.1080/10407782.2018.1464315.
   Web of Science ®Google Scholar
• D. S. Mehta, B. Vaghela, M. K. Rathod, and J. Banarjee, “Heat transfer intensification in horizontal shell and tube latent heat storage unit,” Numer. Heat Transfer Part A Appl., vol. 75, no. 7, pp. 489–508, 2019. DOI: 10.1080/10407782.2019.1599273.
   Web of Science ®Google Scholar
• Y. Xu et al., “Heat transfer analysis of waxy crude oil under a new wide phase change partition model,” Numer. Heat Transfer Part A Appl., vol. 76, no. 12, pp. 991–1005, 2019. DOI: 10.1080/10407782.2019.1677071.
   Web of Science ®Google Scholar
• G. J. Yu et al., “A new general model for phase-change heat transfer of waxy crude oil during the ambient-induced cooling process,” Numer. Heat Transfer Part A Appl., vol. 71, no. 5, pp. 511–527, 2017. DOI: 10.1080/10407782.2016.1277934.
   Web of Science ®Google Scholar
• Z. Li and Z. G. Wu, “Numerical study on the thermal behavior of phase change materials (PCMs) embedded in porous metal matrix,” Sol. Energy, vol. 99, pp. 172–184, 2014. DOI: 10.1016/j.solener.2013.11.017.
   Web of Science ®Google Scholar
• Y. Ganot, M. I. Dragila, and N. Weisbrod, “Impact of thermal convection on CO2 flux across the earth-atmosphere boundary in high-permeability soils,” Agric. For. Meteorol., vol. 184, pp. 12–24, 2014. DOI: 10.1016/j.agrformet.2013.09.001.
   Web of Science ®Google Scholar
• S. Klayborworn, W. Pakdee, P. Rattanadecho, and S. Vongpradubchai, “Effects of material properties on heating processes in two-layered porous media subjected to microwave energy,” Int. J. Heat Mass Transf., vol. 61, pp. 397–408, 2013. DOI: 10.1016/j.ijheatmasstransfer.2013.02.020.
   Web of Science ®Google Scholar
• A. Bejan, Entropy Generation through Heat and Fluid Flow. New York: Wiley, 1982.
   Google Scholar
• A. Bejan, “Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes,” J. Appl. Phys., vol. 79, no. 3, pp. 1191–1218, 1996. DOI: 10.1063/1.362674.
   Web of Science ®Google Scholar
• P. Biswal and T. Basak, “Entropy generation vs energy efficiency for natural convection based energy flow in enclosures and various applications: A review,” Renew. Sust. Energ. Rev., vol. 80, pp. 1412–1457, 2017. DOI: 10.1016/j.rser.2017.04.070.
   Web of Science ®Google Scholar
• R. S. Kaluri and T. Basak, “Role of entropy generation on thermal management during natural convection in porous square cavities with distributed heat sources,” Chem. Eng. Sci., vol. 66, no. 10, pp. 2124–2140, 2011. DOI: 10.1016/j.ces.2011.02.009.
   Web of Science ®Google Scholar
• T. Basak, R. S. Kaluri, and A. Balakrishnan, “Entropy generation during natural convection in a porous cavity: Effect of thermal boundary conditions,” Numer. Heat Transfer Part A Appl., vol. 62, no. 4, pp. 336–364, 2012. DOI: 10.1080/10407782.2012.691059.
   Web of Science ®Google Scholar
• A. Mchirgui, N. Hidouri, M. Magherbi, and A. B. Brahim, “Entropy generation in double-diffusive convection in a square porous cavity using Darcy-Brinkman formulation,” Transp. Porous Med., vol. 93, no. 1, pp. 223–240, 2012. DOI: 10.1007/s11242-012-9954-7.
   Web of Science ®Google Scholar
• P. Meshram, S. Bhardwaj, and A. Dalal, “Numerical investigation of two dimensional natural convection and entropy generation inside a porous square enclosure with sinusoidally heated wall,” Prog. Comput. Fluid Dy., vol. 16, no. 2, pp. 88–101, 2016. DOI: 10.1504/PCFD.2016.075150.
   Web of Science ®Google Scholar
• P. Datta, P. S. Mahapatra, K. Ghosh, N. K. Manna, and S. Sen, “Heat transfer and entropy generation in a porous square enclosure in presence of an adiabatic block,” Transp. Porous Med., vol. 111, no. 2, pp. 305–329, 2016. DOI: 10.1007/s11242-015-0595-5.
   Web of Science ®Google Scholar
• H. R. Ashorynejad and B. Hoseinpour, “Investigation of different nanofluids effect on entropy generation on natural convection in a porous cavity,” Eur. J. Mech. B Fluids, vol. 62, pp. 86–93, 2017. DOI: 10.1016/j.euromechflu.2016.11.016.
   Web of Science ®Google Scholar
• H. Heidary, M. Pirmohammadi, and M. Davoudi, “Control of free convection and entropy generation in inclined porous media,” Heat Transfer Eng., vol. 33, no. 6, pp. 565–573, 2012. DOI: 10.1080/01457632.2012.624875.
   Web of Science ®Google Scholar
• T. Basak, A. K. Singh, R. Richard, and S. Roy, “Finite element simulation with heatlines and entropy generation minimization during natural convection within porous tilted square cavities,” Ind. Eng. Chem. Res., vol. 52, no. 23, pp. 8046–8061, 2013. DOI: 10.1021/ie4005755.
   Web of Science ®Google Scholar
• A. K. Singh, T. Basak, A. Nag, and S. Roy, “Role of entropy generation on thermal management during natural convection in tilted porous square cavities,” J. Taiwan Inst. Chem. Eng., vol. 50, pp. 153–172, 2015. DOI: 10.1016/j.jtice.2014.12.026.
   Web of Science ®Google Scholar
• T. Armaghani, M. A. Ismael, and A. J. Chamkha, “Analysis of entropy generation and natural convection in an inclined partially porous layered cavity filled with a nanofluid,” Can. J. Phys., vol. 95, no. 3, pp. 238–252, 2017. DOI: 10.1139/cjp-2016-0570.
   Web of Science ®Google Scholar
• M. Siavashi, V. Bordbar, and P. Rahnama, “Heat transfer and entropy generation study of non-Darcy double-diffusive natural convection in inclined porous enclosures with different source configurations,” Appl. Therm. Eng., vol. 110, pp. 1462–1475, 2017. DOI: 10.1016/j.applthermaleng.2016.09.060.
   Web of Science ®Google Scholar
• R. Anandalakshmi and T. Basak, “Numerical simulations for the analysis of entropy generation during natural convection in porous rhombic enclosures,” Numer. Heat Transfer Part A Appl., vol. 63, no. 4, pp. 257–284, 2013. DOI: 10.1080/10407782.2012.712412.
   Web of Science ®Google Scholar
• R. Anandalakshmi and T. Basak, “Analysis of natural convection via entropy generation approach in porous rhombic enclosures for various thermal aspect ratios,” Int. J. Heat Mass Transf., vol. 64, pp. 224–244, 2013. DOI: 10.1016/j.ijheatmasstransfer.2013.03.067.
   Web of Science ®Google Scholar
• D. Das and T. Basak, “Thermal management investigation on fluid processing within porous rhombic cavities: Heatlines versus entropy generation,” Can. J. Chem. Eng., vol. 95, no. 7, pp. 1399–1416, 2017. DOI: 10.1002/cjce.22771.
   Web of Science ®Google Scholar
• Y. Varol, H. F. Oztop, and I. Pop, “Entropy analysis due to conjugate-buoyant flow in a right-angle trapezoidal enclosure filled with a porous medium bounded by a solid vertical wall,” Int. J. Therm. Sci., vol. 48, no. 6, pp. 1161–1175, 2009. DOI: 10.1016/j.ijthermalsci.2008.08.002.
   Web of Science ®Google Scholar
• T. Basak, R. Anandalakshmi, S. Roy, and I. Pop, “Role of entropy generation on thermal management due to thermal convection in porous trapezoidal enclosures with isothermal and non-isothermal heating of wall,” Int. J. Heat Mass Transf., vol. 67, pp. 810–828, 2013. DOI: 10.1016/j.ijheatmasstransfer.2013.08.019.
   Web of Science ®Google Scholar
• D. Ramakrishna, T. Basak, S. Roy, and E. Momoniat, “Analysis of thermal efficiency via analysis of heat flow and entropy generation during natural convection within porous trapezoidal cavities,” Int. J. Heat Mass Transf., vol. 77, pp. 98–113, 2014. DOI: 10.1016/j.ijheatmasstransfer.2014.04.002.
   Web of Science ®Google Scholar
• P. Biswal, V. M. Rathnam, and T. Basak, “Analysis of entropy production vs. energy efficiencies during natural convection in porous trapezoidal cavities exposed to various thermal ambience,” J. Taiwan Inst. Chem. Eng., vol. 65, pp. 118–133, 2016. DOI: 10.1016/j.jtice.2016.04.003.
   Web of Science ®Google Scholar
• Y. Varol, H. F. Oztop, and A. Koca, “Entropy production due to free convection in partially heated isosceles triangular enclosures,” Appl. Therm. Eng., vol. 28, no. 11–12, pp. 1502–1513, 2008. DOI: 10.1016/j.applthermaleng.2007.08.013.
   Web of Science ®Google Scholar
• Y. Varol, H. F. Oztop, and I. Pop, “Entropy generation due to natural convection in non-uniformly heated porous isosceles triangular enclosures at different positions,” Int. J. Heat Mass Transf., vol. 52, no. 5–6, pp. 1193–1205, 2009. DOI: 10.1016/j.ijheatmasstransfer.2008.08.026.
   Web of Science ®Google Scholar
• V. M. Rathnam, P. Biswal, and T. Basak, “Analysis of entropy generation during natural convection within entrapped porous triangular cavities during hot or cold fluid disposal,” Numer. Heat Transfer Part A Appl., vol. 69, no. 9, pp. 931–956, 2016. DOI: 10.1080/10407782.2015.1109362.
   Web of Science ®Google Scholar
• D. Das and T. Basak, “Analysis of entropy generation during natural convection in discretely heated porous square and triangular enclosures,” Numer. Heat Transfer Part A Appl., vol. 71, no. 10, pp. 979–1003, 2017. DOI: 10.1080/10407782.2017.1326785.
   Web of Science ®Google Scholar
• D. Das, L. Lukose, and T. Basak, “Role of multiple discrete heaters on the entropy generation during natural convection in porous square and triangular enclosures,” Numer. Heat Transfer Part A Appl., vol. 74, no. 10, pp. 1636–1665, 2018. DOI: 10.1080/10407782.2018.1529483.
   Web of Science ®Google Scholar
• S. Bhardwaj, A. Dalal, and S. Pati, “Influence of wavy wall and non-uniform heating on natural convection heat transfer and entropy generation inside porous complex enclosure,” Energy, vol. 79, pp. 467–481, 2015. DOI: 10.1016/j.energy.2014.11.036.
   Web of Science ®Google Scholar
• S. Bhardwaj and A. Dalal, “Effect of undulations on the natural convection heat transfer and entropy generation inside a porous right-angled triangular enclosure,” Numer. Heat Transfer Part A Appl., vol. 67, no. 9, pp. 972–991, 2015. DOI: 10.1080/10407782.2014.949152.
   Web of Science ®Google Scholar
• P. Biswal and T. Basak, “Analysis of entropy generation during natural convection in porous enclosures with curved surfaces,” Numer. Heat Transfer Part A Appl., vol. 71, no. 1, pp. 17–43, 2017. DOI: 10.1080/10407782.2016.1244399.
   Web of Science ®Google Scholar
• P. Biswal and T. Basak, “Role of thermal and flow characteristics on entropy generation during natural convection in porous enclosures with curved walls subjected to Rayleigh-Benard heating,” Int. J. Heat Mass Transf., vol. 109, pp. 1261–1280, 2017. DOI: 10.1016/j.ijheatmasstransfer.2017.01.118.
   Web of Science ®Google Scholar
• P. Biswal and T. Basak, “Role of differential vs Rayleigh-Benard heating at curved walls for efficient processing via entropy generation approach,” Int. J. Heat Mass Transf., vol. 124, pp. 390–413, 2018. DOI: 10.1016/j.ijheatmasstransfer.2018.03.056.
   Web of Science ®Google Scholar
• D. A. Nield and A. Bejan, Convection in Porous Media, 4th ed. New York: Springer, 2012.
   Google Scholar
• J. N. Reddy, An Introduction to the Finite Element Method. New York: McGraw-Hill, 1993.
   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 Transfer, vol. 49, no. 23–24, pp. 4525–4535, 2006.
   Web of Science ®Google Scholar
• T. Basak, S. Roy, D. Ramakrishna, and I. Pop, “Visualization of heat transport during natural convection within porous triangular cavities via heatline approach,” Numer. Heat Transfer Part A Appl., vol. 57, no. 6, pp. 431–452, 2010. DOI: 10.1080/10407780903507866.
   Web of Science ®Google Scholar
• A. Bejan, “Study of entropy generation in fundamental convective heat transfer,” J. Heat Transf. Tr-ASME, vol. 101, no. 4, pp. 718–725, 1979. DOI: 10.1115/1.3451063.
   Web of Science ®Google Scholar
• 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
• A. K. Al Hadhrami, L. Elliott, and D. B. Ingham, “A new model for viscous dissipation in porous media across a range of permeability values,” Trans Porous Media, vol. 53, no. 1, pp. 117–122, 2003.
   Web of Science ®Google Scholar
• K. Hooman and H. Gurgenci, “Porous medium modeling of air-cooled condensers,” Transp Porous Med, vol. 84, no. 2, pp. 257–273, 2010. DOI: 10.1007/s11242-009-9497-8.
   Web of Science ®Google Scholar
• M. M. Ganzarolli and L. F. Milanez, “Natural convection in rectangular enclosures heated from below and symmetrically cooled from the sides,” Int. J. Heat Mass Transfer, vol. 38, no. 6, pp. 1063–1073, 1995. DOI: 10.1016/0017-9310(94)00217-J.
   Web of Science ®Google Scholar
• O. S. Bharti, A. K. Saha, M. K. Das, and S. Bansal, “Simultaneous measurement of velocity and temperature fields during natural convection in a water-filled cubical cavity,” Expt. Therm. Fluid Sci., vol. 99, pp. 272–286, 2018. DOI: 10.1016/j.expthermflusci.2018.07.039.
   Web of Science ®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 Transfer, vol. 35, no. 6, pp. 696–703, 2008. DOI: 10.1016/j.icheatmasstransfer.2008.02.002.
   Web of Science ®Google Scholar