Combined effects of thermophoresis, Brownian motion and nanofluid variable properties on natural convection in a partially heated square cavity

[+] Author and Article Information
Marina Astanina

Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050 Tomsk, Russia

Dr. Eiyad Abu-Nada

Department of Mechanical Engineering, Khalifa University, P. O. Box 127788, Abu Dhabi, United Arab Emirates

Mikhail A. Sheremet

Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050 Tomsk, Russia

1Corresponding author.

ASME doi:10.1115/1.4039217 History: Received July 20, 2017; Revised January 14, 2018


Numerical investigtion of natural convection in a differentially heated square cavity filled with a CuO-water nanofluid having variable properties is investigated. Governing partial differential equations formulated in non-dimensional stream function, vorticity, temperature and nanoparticles volume fraction are solved by a second order accurate finite difference method and taking into account the Brownian diffusion and thermophoresis. The effects of Rayleigh number (Ra = 1e+04-1e+06), initial nanoparticles volume fraction (C0 = 0-0.09), location of the heater (? = 0.0-0.9), dimensionless time (tau = 0-300) on flow patterns, isotherms and concentration fields, and average Nusselt number at the heater surface are investigated. The isoconcentrations reveal that for most of the cavity domain the nanoparticle concentration is around the initial average concentration of nanoparticles except for a very limited variation in a region next to the cavity walls that experience minor deviation from the initial concentration. It was found that the flow strength within the cavity is inversely proportional to the heater location ? and is directly proportional to the Rayleigh number. Also, it was found that the best location of the heater, from a heat transfer perspective, is placing it entirely at the left wall of the cavity where a maximum average Nusselt number is registered. Study revealed that for all heater locations there is always an adverse impact of nanoparticles on the heat transfer and the worst case is registered for the ? =0 and the least deterioration is noticed for ? = 0.9.

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