Email this article and Applied Mechanics
57, 1, pp. 221-233, Warsaw 2019
DOI: 10.15632/jtam-pl.57.1.221
Natural and mixed convection of a nanofluid in porous cavities: critical analysis using Buongiorno’s model
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.
References
Ali K., Iqbai M.F., Akbar Z., Ashraf M., 2014, Numerical simulation of unsteady water-
-based nanofluid flow and heat transfer between two orthogonally moving porous coaxial disks,
Journal of Theoretical and Applied Mechanics, 52, 1033-1046
Behroyan I., Vanaki S.M., Ganesan P., Saidur R., 2016, A comprehensive comparison of
various CFD models for convective heat transfer of Al2O3 nanofluid inside a heated tube, Inter-
national Communications in Heat and Mass Transfer, 70, 27-37
Buongiorno J., 2006, Convective transport in nanofluids, Journal of Heat Transfer, 128, 240-250
Ghalambaz M., Sabour M., Pop I., 2016, Free convection in a square cavity filled by a porous
medium saturated by a nanofluid: Viscous dissipation and radiation effects, Engineering Science
and Technology, 19, 1244-1253
Ghasemi S.E., Hatami M., Salarian A., Domairry G., 2016, Thermal and fluid analysis
on effects of a nanofluid outside a stretching cylinder with magnetic field using the differential
quadrature method, Journal of Theoretical and Applied Mechanics, 54, 517-528
Kefayati G.H.R., 2017a, Mixed convection of non-Newtonian nanofluid in an enclosure using
Buongiorno’s mathematical model, International Journal of Heat and Mass Transfer, 108, 1481-1500
Kefayati G.H.R., 2017b, Simulation of natural convection and entropy generation of non-
-Newtonian nanofluid in a porous cavity using Buongiorno’s mathematical model, International
Journal of Heat and Mass Transfer, 112, 709-744
Mustafa M., 2017, MHD nanofluid flow over a rotating disk with partial slip effects: Buongiorno
model, International Journal of Heat and Mass Transfer, 108, 1910-1916
Nield D.A., Bejan A., 2013, Convection in Porous Media, Springer, New York
Nield D.A., Kuznetsov A.V., 2009, The Cheng-Minkowycz problem for natural convective
boundary-layer flow in a porous medium saturated by a nanofluid, International Journal of Heat
and Mass Transfer, 52, 5792-5795
Rostamzadeh A., Jafarpur K., Goshtasbi Rad E., 2016, Numerical investigation of pool
nucleate boiling in nanofluid with lattice Boltzmann method, Journal of Theoretical and Applied
Mechanics, 54, 3, 811-825
Sheikholeslami M., Ganji D.D., Rashidi M.M., 2016, Magnetic field effect on unsteady nano-
fluid flow and heat transfer using Buongiornomodel, Journal of Magnetism and Magnetic Materials, 416, 164-173
Sheremet M.A., Cimpean D.S., Pop I., 2017, Free convection in a partially heated wavy porous
cavity filled with a nanofluid under the effects of Brownian diffusion and thermophoresis, Applied
Thermal Engineering, 113, 413-418
Sheremet M.A., Grosan T., Pop I., 2014, Free convection in shallow and slender porous cavities
filled by a nanofluid using Buongiorno’s model, Journal of Heat Transfer, 136, 082501-1
Sheremet M.A., Pop I., 2014a, Conjugate natural convection in a square porous cavity filled
by a nanofluid using Buongiorno’s mathematical model, International Journal of Heat and Mass
Transfer, 79, 137-145
Sheremet M.A., Pop I., 2014b, Natural convection in a square porous cavity with sinusoidal
temperature distributions on both side walls filled with a nanofluid: Buongiorno’s mathematical
model, Transport in Porous Media, 105, 411-429
Sheremet M.A., Pop I., 2015a, Free convection in a triangular cavity filled with a porous medium
saturated by a nanofluid Buongiorno’s mathematical model, International Journal of Numerical
Methods for Heat and Fluid Flow, 25, 1138-1161
Sheremet M.A., Pop I., 2015b, Free convection in a porous horizontal cylindrical annulus with
a nanofluid using Buongiorno’s model, Computers and Fluids, 118, 182-190
Sheremet M.A., Pop I., Rahman M.M., 2015, Three-dimensional natural convection in a porous
enclosure filled with a nanofluid using Buongiorno’s mathematical model, International Journal of
Heat and Mass Transfer, 82, 396-405
Torshizi E., Zahmatkesh I., 2016, Comparison between single-phase, two-phase mixture, and
Eulerian-Eulerian models for the simulation of jet impingement of nanofluids, Journal of Applied
and Computational Sciences in Mechanics, 27, 55-70
Zahmatkesh I., 2008a, On the importance of thermal boundary conditions in heat transfer and en-
tropy generation for natural convection inside a porous enclosure, International Journal of Thermal
Sciences, 47, 339-346
Zahmatkesh I., 2008b, On the importance of thermophoresis and Brownian diffusion for the
deposition of micro- and nanoparticles, International Communications in Heat and Mass Transfer, 35, 369-375
Zahmatkesh I., 2015, Heatline visualization for buoyancy-driven flow inside a nanofluid-saturated
porous enclosure, Jordan Journal of Mechanical and Industrial Engineering, 9, 149-157
Zahmatkesh I., Naghedifar S.A., 2017, Oscillatorymixed convection in jet impingement cooling
of a horizontal surface immersed in a nanofluid-saturated porous medium, Numerical Heat Transfer,
Part A, 72, 401-416