Free Convection in a Square Cavity Filled with a Porous Medium Saturated by Nanofluid Using Tiwari and Das’ Nanofluid Model

Abu-Nada, E., Oztop, H.F.: Effects of inclination angle on natural convection in enclosures filled with Cu-water nanofluid. Int. J. Heat Fluid Flow 30, 669–678 (2009)

Aleshkova, I.A., Sheremet, M.A.: Unsteady conjugate natural convection in a square enclosure filled with a porous medium. Int. J. Heat Mass Transf. 53, 5308–5320 (2010)

Bagchi, A., Kulacki, F.A.: Natural Convection in Superposed Fluid-Porous Layers. Springer, New York (2014)

Baytas, A.C., Pop, I.: Free convection in oblique enclosures filled with a porous medium. Int. J. Heat Mass Transf. 42, 1047–1057 (1999)

Beckermann, C., Viskanta, R., Ramadhyani, S.: A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium. Numer. Heat Transfer 10, 446–469 (1986)

Bejan, A.: On the boundary layer regime in a vertical enclosure filled with a porous medium. Lett. Heat Mass Transf. 6, 82–91 (1979)

Brinkman, H.C.: The viscosity of concentrated suspensions and solutions. J. Chem. Phys. 20, 571–581 (1952)

Bruggeman, D.A.G.: Berechnung verschiedener physikalischer konstanten von heterogenen substanzen, dielektrizitatskonstanten und leitfahigkeiten der mischkorper aus isotropen substanzen. Ann. Phys. 24, 636–679 (1935)

Celli, M.: Non-homogeneous model for a side heated square cavity filled with a nanofluid. Int. J. Heat Fluid Flow 44, 327–355 (2013)

Chamkha, A.J., Ismael, M.A.: Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall. Int. J. Therm. Sci. 67, 135–151 (2013)

Choi, S.U.S.: Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA. ASME, FED 231/MD, vol. 66, pp. 99–105 (1995)

Das, S.K., Choi, S.U.S., Yu, W., Pradeep, T.: Nanofluids: Science and Technology. Wiley, New Jersey (2007)

Eastman, J.A., Choi, S.U.S., Li, S., Yu, W., Thompson, L.J.: Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl. Phys. Lett. 78, 718–720 (2001)

Ghasemi, B., Aminossadati, S.M.: Periodic natural convection in a nanofluid-filled enclosure with oscillating heat flux. Int. J. Therm. Sci. 49, 1–9 (2010)

Godson, L., Raja, B., Lal, D.M., Wongwises, S.: Enhancement of heat transfer using nanofluids—an overview. Renew. Sustain. Energy Rev. 14, 629–641 (2010)

Gross, R., Bear, M.R., Hickox, C.E.: The application of flux-corrected transport (FCT) to high Rayleigh number natural convection in a porous medium. In: Proceedings 7th Int. Heat Transfer Conference, San Francisco (1986)

Ingham, D.B., Pop, I. (eds.): Transport Phenomena in Porous Media III. Elsevier, Oxford (2005)

Jansen, J.D.: A Systems Description of Flow Through Porous Media. Springer, New York (2013)

Jou, R.Y., Tzeng, S.C.: Numerical research of nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures. Int. Commun. Heat Mass Transfer 33, 727–736 (2006)

Kakaç, S., Pramuanjaroenkij, A.: Review of convective heat transfer enhancement with nanofluids. Int. J. Heat Mass Transf. 52, 3187–3196 (2009)

Keblinski, P., Phillpot, S.R., Choi, S.U.S., Eastman, J.A.: Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids). Int. J. Heat Mass Transf. 45, 855–863 (2002)

Khanafer, K., Vafai, K., Lightstone, M.: Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int. J. Heat Transf. 46, 3639–3653 (2003)

Kuznetsov, A.V., Nield, D.A.: The onset of double-diffusive nanofluid convection in a layer of a saturated porous medium. Trans. Porous Media 85, 941–951 (2010)

Kuznetsov, A.V., Nield, D.A.: The Cheng–Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid: a revised model. Int. J. Heat Mass Transf. 65, 682–685 (2013)

Mahian, O., Kianifar, A., Kalogirou, S.A., Pop, I., Wongwises, S.: A review of the applications of nanofluids in solar energy. Int. J. Heat Mass Transf. 57, 582–594 (2013)

Manole, D.M., Lage, J.L.: Numerical benchmark results for natural convection in a porous medium cavity. Heat Mass Transf. Porous Media 105, 44–59 (1992)

Maxwell-Garnet, J.C.: Colours in metal glasses and in metallic films. Philos. Trans. Roy. Soc. A 203, 385–420 (1904)

Moya, S.L., Ramos, E., Sen, M.: Numerical study of natural convection in a tilted rectangular porous material. Int. J. Heat Mass Transf. 30, 630–645 (1987)

Muthtamilselvan, M., Kandaswamy, P., Lee, L.: Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure. Commun. Nonlinear Sci. Numer. Simul. 15, 1501–1510 (2010)

Nield, D.A., Bejan, A.: Convection in Porous Media (4th edition). Springer, New York (2013)

Nield, D.A., Kuznetsov, A.V.: The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int. J. Heat Mass Transf. 52, 5792–5795 (2009)

Nield, D.A., Kuznetsov, A.V.: Thermal instability in a porous medium layer saturated by a nanofluid: a revised model. Int. J. Heat Mass Transf. 68, 211–214 (2014)

Ögüt, E.B.: Natural convection of water-based nanofluids in an inclined enclosure with a heat source. Int. J. Therm. Sci. 48, 2063–2073 (2009)

Ögüt, E.B.: Heat transfer of water-based nanofluids with natural convection in an inclined square enclosure. J. Therm. Sci. Technol. 30, 23–33 (2010)

Oztop, H.F., Abu-Nada, E.: Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int. J. Heat Fluid Flow 29, 1326–1336 (2008)

Patel, H.E., Das, S.K., Sundararajan, T., Sreekumaran, A., George, B., Pradeep, T.: Thermal conductivities of naked and monolayer protected metal nanoparticle based nanofluids: manifestation of anomalous enhancement and chemical effects. Appl. Phys. Lett. 83, 2931–2933 (2003)

Pop, I., Ingham, D.B.: Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media. Pergamon, Oxford (2001)

Saidur, R., Leong, K.Y., Mohammad, H.A.: A review on applications and challenges of nanofluids. Renew. Sustain. Energy Rev. 15, 1646–1668 (2011)

Santra, A.K., Sen, S., Chakraborty, N.: Study of heat transfer augmentation in a differentially heated square cavity using copper-water nanofluid. Int. J. Therm. Sci. 47, 1113–1122 (2008)

Sheremet, M.A., Trifonova, T.A.: Unsteady conjugate natural convection in a vertical cylinder partially filled with a porous medium. Numer. Heat Transfer Part A 64, 994–1015 (2013)

Sheremet, M.A., Grosan, T., Pop, I.: Free convection in shallow and slender porous cavities filled by a nanofluid using Buongiorno’s model. J. Heat Transf. 136, 082501 (2014)

Sheremet, M.A., Pop, I.: Thermo-Bioconvection in a square porous cavity filled by oxytactic microorganisms. Transp Porous Media 103, 191–205 (2014)

Sheremet, M.A., Pop, I.: Conjugate natural convection in a porous cavity filled by a nanofluid using Buongiorno’s mathematical model. Int. J. Heat Mass Transf. 79, 137–145 (2014)

Sun, Q., Pop, I.: Free convection in a triangle cavity filled with a porous medium saturated with nanofluids with flush mounted heater on the wall. Int. J. Therm. Sci. 50, 2141–2153 (2011)

Tiwari, R.K., Das, M.K.: Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int. J. Heat Mass Transf. 50, 2002–2018 (2007)

Vadasz, P. (ed.): Emerging Topics in Heat and Mass Transfer in Porous Media. Springer, Berlin (2008)

Vafai, K. (ed.): Handbook of Porous Media, 2nd edn. Taylor & Francis, New York (2005)

Vafai, K.: Porous Media: Applications in Biological Systems and Biotechnology. CRC Press, Tokyo (2010)

Walker, K.L., Homsy, G.M.: Convection in a porous cavity. J. Fluid Mech. 87, 338–363 (1978)

Wen, D., Lin, G., Vafaei, S., Zhang, K.: Review of nanofluids for heat transfer applications. Particuology 7, 141–150 (2011)

Wong, K.V., Leon, O.D.: Applications of nanofluids: current and future. Adv. Mech. Eng. Article ID 519659 (2010), 11 pages, doi: 10.1155/2010/519659

Yu, W., Choi, S.U.S.: The role of interfacial layer in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. J. Nanopart. Res. 5, 167–171 (2003)

Yu, W., France, D.M., Routbort, J.L., Choi, S.U.S.: Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transfer Eng. 29, 432–460 (2008)