Natural convective nanofluid flow characteristics with Brownian motion effect in an annular space between confocal elliptic cylinders

References

• H. U. Kang, S. H. Kim and J. M. Oh, “Estimation of thermal conductivity of nanofluid using experimental effective particle volume,” Exp. Heat Transfer, vol. 19, no. 3, pp. 181–191, 2006. DOI: 10.1080/08916150600619281.
   Web of Science ®Google Scholar
• V. Velagapudi, K. R. Konijeti and K. S. C. Aduru, “Empirical correlations to predict thermophysical and heat transfer characteristics of nanofluids,” Therm. Sci., vol. 12, no. 2, pp. 27–37, 2008. DOI: 10.2298/TSCI0802027V.
   Web of Science ®Google Scholar
• V. Y. Rudyak, A. Belkin and E. Tomilina, “On the thermal conductivity of nanofluids,” Tech. Phys. Lett., vol. 36, no. 7, pp. 660–662, 2010. DOI: 10.1134/S1063785010070229.
   Web of Science ®Google Scholar
• L. Godson, B. Raja, D. Mohan Lal and S. Wongwises, “Enhancement of heat transfer using nanofluids—an overview,” Renew. Sustain. Energy Rev., vol. 14, no. 2, pp. 629–641, 2010. DOI: 10.1016/j.rser.2009.10.004.
   Web of Science ®Google Scholar
• A. Turgut, I. Tavman, M. Chirtoc, H. Schuchmann, C. Sauter and S. Tavman, “Thermal conductivity and viscosity measurements of water-based TiO2 nanofluids,” Int. J. Thermophys., vol. 30, no. 4, pp. 1213–1226, 2009. DOI: 10.1007/s10765-009-0594-2.
   Web of Science ®Google Scholar
• A. Nayak, R. Singh and P. Kulkarni, “Measurement of volumetric thermal expansion coefficient of various nanofluids,” Tech. Phys. Lett., vol. 36, no. 8, pp. 696–698, 2010. DOI: 10.1134/S1063785010080055.
   Web of Science ®Google Scholar
• C. Murugesan and S. Sivan, “Limits for thermal conductivity of nanofluids,” Therm. Sci., vol. 14, no. 1, pp. 65–71, 2010. DOI: 10.2298/TSCI1001065M.
   Web of Science ®Google Scholar
• K. Khanafer, K. Vafai and M. Lightstone, “Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids,” Int. J. Heat Mass Transfer, vol. 46, no. 19, pp. 3639–3653, 2003. DOI: 10.1016/S0017-9310(03)00156-X.
   Web of Science ®Google Scholar
• K. S. Hwang, J. H. Lee and S. P. Jang, “Buoyancy-driven heat transfer of water-based Al2O3 nanofluids in a rectangular cavity,” Int. J. Heat Mass Transfer, vol. 50, no. 19–20, pp. 4003–4010, 2007. DOI: 10.1016/j.ijheatmasstransfer.2007.01.037.
   Web of Science ®Google Scholar
• C. J. Ho, M. W. Chen and Z. W. Li, “Numerical simulation of natural convection of nanofluid in a square enclosure: Effects due to uncertainties of viscosity and thermal conductivity,” Int. J. Heat Mass Transfer, vol. 51, no. 17-18, pp. 4506–4516, 2008. DOI: 10.1016/j.ijheatmasstransfer.2007.12.019.
   Web of Science ®Google Scholar
• J. H. Lee and T. S. Lee, “Natural convection in the annuli between horizontal confocal elliptic cylinders,” Int. J. Heat Mass Transfer, vol. 24, pp. 1739–1742, 1981.
   Web of Science ®Google Scholar
• M. M. Elshamy, M. N. Ozisik and J. P. Coulter, “Correlation for laminar natural convection between confocal horizontal elliptical cylinders,” Numer. Heat Transfer, Part A, vol. 18, no. 1, pp. 95–112, 1990. DOI: 10.1080/10407789008944785.
   Web of Science ®Google Scholar
• T. Tayebi, A. J. Chamkha, M. Djezzar and A. Bouzerzour, “Natural convective nanofluid flow in an annular space between confocal elliptic cylinders,” J. Thermal Sci. Eng. Appl., vol. 9, pp. 011010–9, 2016.
   Web of Science ®Google Scholar
• T. Tayebi and A. J. Chamkha, “Free convection enhancement in an annulus between horizontal confocal elliptical cylinders using hybrid nanofluids,” Numer. Heat Transfer Part A: Appl., vol. 70, no. 10, pp. 1141–1156, 2016. DOI: 10.1080/10407782.2016.1230423.
   Web of Science ®Google Scholar
• T. Tayebi, A. J. Chamkha and M. Djezzar, “Natural convection of CNT-water nanofluid in an annular space between confocal elliptic cylinders with constant heat flux on inner wall,” Sci. Iranica, vol. 26, no. 5, pp. 2770–2783, 2018. DOI: 10.24200/sci.2018.21069.
   Web of Science ®Google Scholar
• T. Tayebi and A. J. Chamkha, “Natural convection enhancement in an eccentric horizontal cylindrical annulus using hybrid nanofluids,” Numer. Heat Transfer, Part A, vol. 71, no. 11, pp. 1159–1173, 2017. DOI: 10.1080/10407782.2017.1337990.
   Web of Science ®Google Scholar
• Seyyed Masoud Seyyedi, A. S. Dogonchi, M. Hashemi-Tilehnoee, D. D. Ganji and A. J. Chamkha, “Second law analysis of magneto-natural convection in a nanofluid filled wavy-hexagonal porous enclosure,” Int. J. Numer. Methods Heat Fluid Flow, vol. 30, no. 11, pp. 4811–4836, 2020. DOI: 10.1108/HFF-11-2019-0845.
   Web of Science ®Google Scholar
• T. Tayebi and A. J. Chamkha, “Magnetohydrodynamic natural Convection heat transfer of hybrid nanofluid in a square Enclosure in the presence of a Wavy circular conductive cylinder,” J. Thermal Sci. Eng. Appl., vol. 12, no. 3, pp. 031009. 2020. DOI: 10.1115/1.4044857.
   Web of Science ®Google Scholar
• A. S. Dogonchi, et al., “Investigation of magneto-hydrodynamic fluid squeezed between two parallel disks by considering Joule heating, thermal radiation, and adding different nanoparticles,” HFF, vol. 30, no. 2, pp. 659–680, 2020. DOI: 10.1108/HFF-05-2019-0390.
   Web of Science ®Google Scholar
• A. J. Chamkha, A. S. Dogonchi and D. D. Ganji, “Magnetohydrodynamic nanofluid natural convection in a cavity under thermal radiation and shape factor of nanoparticles impacts: A numerical study using CVFEM,” Appl. Sci., vol. 8, no. 12, pp. 2396, 2018. DOI: 10.3390/app8122396.
   Google Scholar
• S. K. Das, N. Putra, P. Thiesen and W. Roetzel, “Temperature dependence of thermal conductivity enhancement for nanofluids,” J. Heat Transfer, Trans. ASME, vol. 125, no. 4, pp. 567–574, 2003. DOI: 10.1115/1.1571080.
   Web of Science ®Google Scholar
• P. Bhattacharya, S. K. Saha, A. Yadav, P. E. Phelan and R. S. Prasher, “Brownian dynamics simulation to determine the effective thermal conductivity of nanofluids,” J. Appl. Phys., vol. 95, no. 11, pp. 6492–6494, 2004. DOI: 10.1063/1.1736319.
   Web of Science ®Google Scholar
• R. K. Shukla and V. K. Dhir, “Effect of Brownian motion on thermal conductivity of nanofluids,” J. Heat Transfer, vol. 130, no. 4, pp. 042406-1–042406-13, 2008. DOI: 10.1115/1.2818768.
   Web of Science ®Google Scholar
• A. S. Dogonchi, S. M. Seyyedi, M. Hashemi-Tilehnoee, A. J. Chamkha and D. D. Ganji, “Investigation of natural convection of magnetic nanofluid in an enclosure with a porous medium considering Brownian motion,” Case Stud. Therm. Eng., vol. 14, pp. 100502, 2019. DOI: 10.1016/j.csite.2019.100502.
   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. Sustain. Energy Rev., vol. 16, no. 1, pp. 911–920, 2012. DOI: 10.1016/j.rser.2011.09.012.
   Web of Science ®Google Scholar
• R. Ellahi, S. Z. Alamri, A. Basit and A. Majeed, “Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation,” J. Taibah Univ. Sci., vol. 12, no. 4, pp. 476–482, 2018. DOI: 10.1080/16583655.2018.1483795.
   Web of Science ®Google Scholar
• O. Mahian, H. Oztop, I. Pop, S. Mahmud and S. Wongwises, “Entropy generation between two vertical cylinders in the presence of MHD flow subjected to constant wall temperature,” Int. Commun. Heat Mass Transf., vol. 44, pp. 87–92, 2013. DOI: 10.1016/j.icheatmasstransfer.2013.03.005.
   Web of Science ®Google Scholar
• O. Mahian, et al., “A review of entropy generation in nanofluid flow,” Int. J. Heat Mass Transf., vol. 65, pp. 514–532, 2013. DOI: 10.1016/j.ijheatmasstransfer.2013.06.010.
   Web of Science ®Google Scholar
• M. M. Bhatti, T. Abbas, M. M. Rashidi and M. E. S. Ali, “Numerical simulation of entropy generation with thermal radiation on MHD carreau nanofluid towards a shrinking sheet,” Entropy, vol. 18, no. 6, pp. 200, 2016. DOI: 10.3390/e18060200.
   Web of Science ®Google Scholar
• T. Tayebi, A. Sattar Dogonchi, N. Karimi, H. Ge-JiLe, A. J. Chamkha and Y. Elmasry, “Thermo-economic and entropy generation analyses of magnetic natural convective flow in a nanofluid-filled annular enclosure fitted with fins,” Sustain. Energy Technol. Assess., vol. 46, pp. 101274, 2021. DOI: 10.1016/j.seta.2021.101274.
   Web of Science ®Google Scholar
• H. Aminfar, R. Motallebzadeh and A. Farzadi, “The study of the effects of thermophoretic and Brownian forces on nanofluid thermal conductivity using Lagrangian and Eulerian approach,” Nanoscale Microscale Thermophys. Eng., vol. 14, no. 4, pp. 187–208, 2010. DOI: 10.1080/15567265.2010.500318.
   Web of Science ®Google Scholar
• J. Koo and C. Kleinstreuer, “A new thermal conductivity model for nanofluids,” J. Nanopart. Res., vol. 6, no. 6, pp. 577–588, 2004. DOI: 10.1007/s11051-004-3170-5.
   Web of Science ®Google Scholar
• J. Koo and C. Kleinstreuer, “Impact analysis of nanoparticle motion mechanisms on the thermal conductivity of nanofluids,” Int. Commun. Heat Mass Transfer, vol. 32, no. 9, pp. 1111–1118, 2005. DOI: 10.1016/j.icheatmasstransfer.2005.05.014.
   Web of Science ®Google Scholar
• A. S. Dogonchi, M. Waqasb and D. D. Ganjic, “Shape effects of copper-oxide (CuO) nanoparticles to determine the heat transfer filled in a partially heated rhombus enclosure: CVFEM approach,” Int. Commun. Heat Mass Transfer, vol. 107, pp. 14–23, 2019. DOI: 10.1016/j.icheatmasstransfer.2019.05.014.
   Web of Science ®Google Scholar
• E. Abu-Nada, Z. Masoud and A. Hijazi, “Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids,” Int. Commun. Heat Mass Transfer, vol. 35, no. 5, pp. 657–665, 2008. DOI: 10.1016/j.icheatmasstransfer.2007.11.004.
   Web of Science ®Google Scholar
• M. Djezzar, “Contribution à l’étude de la convection naturelle dans différents espaces annulaires elliptiques confocaux soumis à différentes conditions de chauffage,” Thèse de Doctorat en Physique Energétique Perpignan, 2005.
   Google Scholar
• A. Bouzerzour, M. Djezzar, H. F. Oztop, T. Tayebi and N. Abu-Hamdeh, “Natural convection in nanofluid filled and partially heated annulus: Effect of different arrangements of heaters,” Physica A, vol. 538, pp. 122479, 2020. DOI: 10.1016/j.physa.2019.122479.
   Web of Science ®Google Scholar
• H. K. Versteeg and W. Malalasekera, 2007, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, 2nd ed. London, UK: Pearson.
   Google Scholar