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.
REFERENCES (24)
1.
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.
 
2.
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, International Communications in Heat and Mass Transfer, 70, 27-37.
 
3.
Buongiorno J., 2006, Convective transport in nanofluids, Journal of Heat Transfer, 128, 240-250.
 
4.
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.
 
5.
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 differentia quadrature method, Journal of Theoretical and Applied Mechanics, 54, 517-528.
 
6.
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.
 
7.
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.
 
8.
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.
 
9.
Nield D.A., Bejan A., 2013, Convection in Porous Media, Springer, New York.
 
10.
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.
 
11.
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.
 
12.
Sheikholeslami M., Ganji D.D., Rashidi M.M., 2016, Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiornomodel, Journal of Magnetism and Magnetic Materials, 416, 164-173.
 
13.
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.
 
14.
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.
 
15.
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.
 
16.
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.
 
17.
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.
 
18.
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.
 
19.
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.
 
20.
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.
 
21.
Zahmatkesh I., 2008a, On the importance of thermal boundary conditions in heat transfer and entropy generation for natural convection inside a porous enclosure, International Journal of Thermal Sciences, 47, 339-346.
 
22.
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.
 
23.
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.
 
24.
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.
 
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