ARTICLE
Natural and mixed convection of a nanofluid in porous cavities: critical analysis using Buongiorno’s model
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Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Submission date: 2017-08-19
Acceptance date: 2018-09-18
Publication date: 2019-01-20
Journal of Theoretical and Applied Mechanics 2019;57(1):221-233
KEYWORDS
ABSTRACT
In this paper, Buongiorno’s mathematical model is adopted to simulate both natural con-
vection and mixed convection of a nanofluid in square porous cavities. The model takes
into account the Brownian diffusion and thermophoresis effects. Both constant and varia-
ble temperatures are prescribed at the side walls while the remaining walls are maintained
adiabatic. Moreover, all boundaries are assumed to be impermeable to the base fluid and
the nanoparticles. The governing equations are transformed to a form of dimensionless equ-
ations and then solved numerically using the finite-volume method. Thereafter, effects of
the Brownian diffusion parameter, the thermophoresis number, and the buoyancy ratio on
the flow strength and the average Nusselt number as well as distributions of isocontours of
the stream function, temperature, and nanoparticles fraction are presented and discussed.
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