Two-Phase Simulation of Magnetohydrodynamics and Ferrohydrodynamics Impacts on the Natural Convection of a Magnetic Nanofluid within a Porous Cavity

Document Type : Research Article

Authors

Department of Mechanical Engineering, Urmia University of Technology, Urmia, Iran

Abstract

This article attempts to evaluate the impact of magnetohydrodynamics and ferrohydrodynamics on the free convection of a magnetic nanofluid in a square porous cavity. The published literature shows that the magnetic nanofluid convection problems have been mostly simulated by the single-phase model. In the present work, a two-phase model is used to consider the effects of Brownian diffusion, thermophoresis, and magnetophoresis of particles. The Darcy-Brinkman formulation is employed to treat mass, momentum, and energy transport phenomena in the porous medium. The governing equations are solved numerically by the finite volume technique. Numerical computations are performed for various Rayleigh numbers ( and ), Hartmann numbers ( ), magnetic numbers ( ), and porosity ratio of  and 0.9. The current results are validated via comparison with existing experimental or numerical results in the literature. Impacts of magnetohydrodynamics, ferrohydrodynamics, and ferrohydrodynamics/magnetohydrodynamics on the flow field and heat transfer rate are discussed separately in detail by contour plots of streamlines, isotherms, and distribution profiles of nanoparticles. Numerical results indicate that at  heat is mainly transferred by conduction and its rate is unaffected by porosity, magnetic, or Hartmann numbers. However, at  and  the average Nusselt number decreases by increasing magnetic and Hartmann numbers.

Keywords

Main Subjects

References

[1] S.U. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, Argonne National Lab., IL (United States), 1995.
[2] K. Khanafer, K. Vafai, M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, International journal of heat and mass transfer, 46(19) (2003) 3639-3653.
[3] S. Soleimani, M. Sheikholeslami, D. Ganji, M. Gorji-Bandpay, Natural convection heat transfer in a nanofluid filled semi-annulus enclosure, International Communications in Heat and Mass Transfer, 39(4) (2012) 565-574.
[4] M. Sheikholeslami, R. Ellahi, M. Hassan, S. Soleimani, A study of natural convection heat transfer in a nanofluid filled enclosure with elliptic inner cylinder, International Journal of Numerical Methods for Heat & Fluid Flow,  (2014).
[5] H. Soltanipour, S. Khalilarya, S.Y. Motlagh, I. Mirzaee, The effect of position-dependent magnetic field on nanofluid forced convective heat transfer and entropy generation in a microchannel, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(1) (2017) 345-355.
[6] M. Akbari, N. Galanis, A. Behzadmehr, Comparative analysis of single and two-phase models for CFD studies of nanofluid heat transfer, International Journal of Thermal Sciences, 50(8) (2011) 1343-1354.
[7] S. Göktepe, K. Atalık, H. Ertürk, Comparison of single and two-phase models for nanofluid convection at the entrance of a uniformly heated tube, International Journal of Thermal Sciences, 80 (2014) 83-92.
[8] A.I. Alsabery, T. Armaghani, A.J. Chamkha, M.A. Sadiq, I. Hashim, Effects of two-phase nanofluid model on convection in a double lid-driven cavity in the presence of a magnetic field, International Journal of Numerical Methods for Heat & Fluid Flow,  (2019).
[9] P. Barnoon, D. Toghraie, R.B. Dehkordi, H. Abed, MHD mixed convection and entropy generation in a lid-driven cavity with rotating cylinders filled by a nanofluid using two phase mixture model, Journal of Magnetism and Magnetic Materials, 483 (2019) 224-248.
[10] D. Kashyap, A.K. Dass, Effect of boundary conditions on heat transfer and entropy generation during two-phase mixed convection hybrid Al2O3-Cu/water nanofluid flow in a cavity, International Journal of Mechanical Sciences, 157 (2019) 45-59.
[11] A. Razeghi, I. Mirzaee, M. Abbasalizadeh, H. Soltanipour, Al 2 O 3/water nano-fluid forced convective flow in a rectangular curved micro-channel: first and second law analysis, single-phase and multi-phase approach, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(6) (2017) 2307-2318.
[12] J. Buongiorno, Convective transport in nanofluids,  (2006).
[13] M. Corcione, M. Cianfrini, A. Quintino, Two-phase mixture modeling of natural convection of nanofluids with temperature-dependent properties, International Journal of Thermal Sciences, 71 (2013) 182-195.
[14] H. Azimikivi, N. Purmahmud, I. Mirzaee, Rib shape and nanoparticle diameter effects on natural convection heat transfer at low turbulence two-phase flow of AL2O3-water nanofluid inside a square cavity: Based on Buongiorno’s two-phase model, Thermal Science and Engineering Progress, 20 (2020) 100587.
[15] F. Garoosi, S. Garoosi, K. Hooman, Numerical simulation of natural convection and mixed convection of the nanofluid in a square cavity using Buongiorno model, Powder technology, 268 (2014) 279-292.
[16] S.Y. Motlagh, H. Soltanipour, Natural convection of Al2O3-water nanofluid in an inclined cavity using Buongiorno's two-phase model, International Journal of Thermal Sciences, 111 (2017) 310-320.
[17] S.Y. Motlagh, M.M. Youshanloei, T. Safabakhsh, Numerical investigation of FHD pump for pumping the magnetic nanofluid inside the microchannel with hydrophobic walls, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41(5) (2019) 1-16.
[18] A. Sharifi, S.Y. Motlagh, H. Badfar, Numerical investigation of magnetic drug targeting using magnetic nanoparticles to the Aneurysmal Vessel, Journal of Magnetism and Magnetic Materials, 474 (2019) 236-245.
[19] A. Sharifi, S. Yekani Motlagh, H. Badfar, Investigation of the effects of two parallel wires' non-uniform magnetic field on heat and biomagnetic fluid flow in an aneurysm, International Journal of Computational Fluid Dynamics, 32(4-5) (2018) 248-259.
[20] H. Soltanipour, A. Gharegöz, M.B. Oskooee, Numerical study of magnetic field effect on the ferrofluid forced convection and entropy generation in a curved pipe, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(3) (2020) 1-15.
[21] G.R. Kefayati, Effect of a magnetic field on natural convection in an open cavity subjugated to water/alumina nanofluid using Lattice Boltzmann method, International Communications in Heat and Mass Transfer, 40 (2013) 67-77.
[22] M. Sheikholeslami, M. Gorji-Bandpy, Free convection of ferrofluid in a cavity heated from below in the presence of an external magnetic field, Powder technology, 256 (2014) 490-498.
[23] E. Tzirtzilakis, M. Xenos, Biomagnetic fluid flow in a driven cavity, Meccanica, 48(1) (2013) 187-200.
[24] A. Kasaeian, R. Daneshazarian, O. Mahian, L. Kolsi, A.J. Chamkha, S. Wongwises, I. Pop, Nanofluid flow and heat transfer in porous media: a review of the latest developments, International Journal of Heat and Mass Transfer, 107 (2017) 778-791.
[25] M.A. Sheremet, T. Groşan, I. Pop, Free convection in shallow and slender porous cavities filled by a nanofluid using Buongiorno's model, Journal of heat transfer, 136(8) (2014) 082501.
[26] M.A. Sheremet, I. Pop, M.M. Rahman, 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 (2015) 396-405.
[27] S.Y. Motlagh, S. Taghizadeh, H. Soltanipour, Natural convection heat transfer in an inclined square enclosure filled with a porous medium saturated by nanofluid using Buongiorno’s mathematical model, Advanced Powder Technology, 27(6) (2016) 2526-2540.
[28] S.Y. Motlagh, E. Golab, A.N. Sadr, Two-phase modeling of the free convection of nanofluid inside the inclined porous semi-annulus enclosure, International Journal of Mechanical Sciences, 164 (2019) 105183.
[29] D. Nield, A. Bejan, Convection in porous media, Fifth, in, Springer-Verlag, New York, 2016.
[30] H. Aminfar, M. Mohammadpourfard, S.A. Zonouzi, Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magnetic field, Journal of Magnetism and Magnetic materials, 327 (2013) 31-42.
[31] M.I. Shliomis, B.L. Smorodin, Convective instability of magnetized ferrofluids, Journal of Magnetism and Magnetic Materials, 252 (2002) 197-202.
[32] Y. Pak BCCho, Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles, Exp Heat Trans, 11 (1998) 151170.
[33] Y. Xuan, W. Roetzel, Conceptions for heat transfer correlation of nanofluids, International Journal of heat and Mass transfer, 43(19) (2000) 3701-3707.
[34] H.C. Brinkman, The viscosity of concentrated suspensions and solutions, The Journal of chemical physics, 20(4) (1952) 571-571.
[35] R. Hamilton, Crosser, 0. K.," Thermal Conductivity of Heterogeneous Two-Component Systems," Industrial and Engineering Chemistry, Fundamentals, 1 (1962) 187-191.
[36] J.C. Maxwell, A treatise on electricity and magnetism, Clarendon press, 1873.
[37] Q. Xiong, M. Izadi, E. Assareh, Natural heat exchange in inhomogeneous porous medium using linear and quadratic porosity distribution, International Journal of Thermal Sciences, 161 (2021) 106731.
[38] H. Aminfar, M. Mohammadpourfard, Y.N. Kahnamouei, A 3D numerical simulation of mixed convection of a magnetic nanofluid in the presence of non-uniform magnetic field in a vertical tube using two phase mixture model, Journal of Magnetism and Magnetic Materials, 323(15) (2011) 1963-1972.
[39] H. Soltanipour, Two-phase simulation of magnetic field effect on the ferrofluid forced convection in a pipe considering Brownian diffusion, thermophoresis, and magnetophoresis, The European Physical Journal Plus, 135(9) (2020) 1-23.
[40] S.V. Patankar, Numerical heat transfer and fluid flow, CRC press, 2018.
[41] C. Ho, W. Liu, Y. Chang, C. Lin, Natural convection heat transfer of alumina-water nanofluid in vertical square enclosures: An experimental study, International Journal of Thermal Sciences, 49(8) (2010) 1345-1353.
[42] G.A. Sheikhzadeh, M. Dastmalchi, H. Khorasanizadeh, Effects of nanoparticles transport mechanisms on Al2O3–water nanofluid natural convection in a square enclosure, International Journal of Thermal Sciences, 66 (2013) 51-62.
[43] E. Tzirtzilakis, Biomagnetic fluid flow in an aneurysm using ferrohydrodynamics principles, Physics of Fluids, 27(6) (2015) 061902.
[44] T. Basak, S. Roy, S.K. Singh, I. Pop, Analysis of mixed convection in a lid-driven porous square cavity with linearly heated side wall (s), International journal of heat and mass transfer, 53(9-10) (2010) 1819-1840.
AUT Journal of Mechanical Engineering
Volume 6, Issue 1
March 2022
Pages 129-148

Files

Share

How to cite

Statistics