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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
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.

MSC:
80A20 Heat and mass transfer, heat flow (MSC2010)
76R10 Free convection
76S05 Flows in porous media; filtration; seepage
76R50 Diffusion
60J65 Brownian motion
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