The Cheng–Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid

• Published in: International journal of heat and mass transfer Vol. 54; no. 1; pp. 374 - 378
• Main Authors: Nield, D.A., Kuznetsov, A.V.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 15.01.2011; Elsevier
• Subjects: Brownian motion; Computational fluid dynamics; Condensed matter: structure, mechanical and thermal properties; Convection; Convection and heat transfer; Exact sciences and technology; Flows through porous media; Fluid dynamics; Fundamental areas of phenomenology (including applications); Mathematical analysis; Nanocomposites; Nanofluid convection; Nanofluids; Nanomaterials; Nanostructure; Natural convection; Nonhomogeneous flows; Physics; Porous media; Similarity solutions; Thermal properties of condensed matter; Thermal properties of small particles, nanocrystals, nanotubes; Thermophoresis; Turbulent flows, convection, and heat transfer; Vertical plate; Nanofluid convection; Porous media; Brownian motion; Natural convection; Thermophoresis; Vertical plate; Nanoparticles; Porous medium flow; Thermohaline convection; Modelling; Boundary layers; Heat transfer; Double diffusion
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2010.09.034

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.