Nield, D. A.; Kuznetsov, A. V. The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid. (English) Zbl 1205.80039 Int. J. Heat Mass Transfer 54, No. 1-3, 374-378 (2011). Summary: The paper presents an analytical treatment of double-diffusive nanofluid convection in a porous medium. The problem treated is natural convection past a vertical plate when the base fluid of the nanofluid is itself a binary fluid such as salty water. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, while the Darcy model is used for the porous medium. In addition the thermal energy equations include regular diffusion and cross-diffusion terms. A similarity solution is presented. Cited in 33 Documents MSC: 80A20 Heat and mass transfer, heat flow (MSC2010) 76R10 Free convection 76S05 Flows in porous media; filtration; seepage 76R50 Diffusion 60J65 Brownian motion Keywords:nanofluid convection; porous media; Brownian motion; thermophoresis; natural convection; vertical plate PDFBibTeX XMLCite \textit{D. A. Nield} and \textit{A. V. Kuznetsov}, Int. J. Heat Mass Transfer 54, No. 1--3, 374--378 (2011; Zbl 1205.80039) Full Text: DOI References: [1] S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, in: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows, ASME FED, vol. 231/MD-vol. 66, 1995, pp. 99 – 105. [2] Masuda, H.; Ebata, A.; Teramae, K.; Hishinuma, N.: Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles, Netsu bussei 7, 227-233 (1993) [3] J. Buongiorno, W. Hu, Nanofluid coolants for advanced nuclear power plants, in: Proceedings of ICAPP ’05, Seoul, May 15 – 19, 2005, Paper No. 5705. [4] Das, S. K.; Choi, S. U. S.: A review of heat transfer in nanofluids, Adv. heat transfer 41, 81-197 (2009) [5] Das, S. K.; Choi, S. U. S.; Yu, W.; Pradeep, T.: Nanofluids: science and technology, (2008) [6] Wang, X. Q.; Mujumdar, A. S.: Heat transfer characteristics of nanofluids: a review, Int. J. Therm. sci. 46, 1-19 (2007) [7] Buongiorno, J.: Convective transport in nanofluids, ASME J. Heat transfer 128, 240-250 (2006) [8] Cheng, P.; Minkowycz, W. J.: Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. geophys. Res. 82, 2040-2044 (1977) [9] Bejan, A.: Convection heat transfer, (2004) · Zbl 1079.76648 [10] Bejan, A.; Khair, K. R.: Heat and mass transfer by natural convection in a porous medium, Int. J. Heat mass transfer 28, 909-919 (1985) · Zbl 0564.76085 · doi:10.1016/0017-9310(85)90272-8 [11] Nield, D. A.; Bejan, A.: Convection in porous media, (2006) · Zbl 1256.76004 [12] Khaled, A. R. A.; Chamkha, A. J.: Variable porosity and thermal dispersion effects on coupled heat and mass transfer by natural convection from a surface embedded in a non-metallic porous medium, Int. J. Numer. methods heat fluid flow 11, 413-429 (2001) · Zbl 1006.76555 · doi:10.1108/EUM0000000005530 [13] Chamkha, A. J.; Quadri, M. M. A.: Simultaneous heat and mass transfer by natural convection from a plate embedded in a porous medium with thermal dispersion effects, Heat mass transfer 39, 561-569 (2003) [14] Chamkha, A. J.; Pop, I.: Effect of thermophoresis particle deposition in free convection boundary layer from a vertical flat plate embedded in a porous medium, Int. commun. Heat mass transfer 31, 421-430 (2004) [15] 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 transfer 52, 5792-5795 (2009) · Zbl 1177.80046 · doi:10.1016/j.ijheatmasstransfer.2009.07.024 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.