The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. (English) Zbl 1177.80046

Summary: The Cheng-Minkowycz problem of natural convection past a vertical plate, in a porous medium saturated by a nanofluid, is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Darcy model is employed. A similarity solution is presented. This solution depends on a Lewis number Le, a buoyancy-ratio number Nr, a Brownian motion number Nb, and a thermophoresis number Nt. The dependency of the Nusselt number on these four parameters is investigated.


80A20 Heat and mass transfer, heat flow (MSC2010)
76R10 Free convection
76S05 Flows in porous media; filtration; seepage
60J65 Brownian motion
82D80 Statistical mechanics of nanostructures and nanoparticles
Full Text: DOI


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