Numerical Study of Natural Convection in Vertical Cylindrical Annular Enclosure Filled with Cu-Water Nanofluid under Magnetic Fields

Abstract:

The two dimensional study of natural convection in vertical cylindrical annular enclosure filled with Cu-water nanofluid under magnetic fields is numerically analyzed. The vertical walls are maintained at different uniform hot and cold temperatures, T_H and T_C, respectively. The top and bottom walls of the enclosure are thermally insulated. The governing equations are solved numerically by using a finite volume method. The coupling between the continuity and momentum equations is effected using the SIMPLER algorithm. Numerical analysis has been carried out for a wide range of Rayleigh number (10³ ≤Ra≤10⁶), Hartmann number (1 ≤Ha≤100) and nanoparticles volume fraction (0 ≤φ≤0.08). The influence of theses physical parameters on the streamlines, isotherms and average Nusselt has been numerically investigated.

• Periodical: Defect and Diffusion Forum (Volume 392)
• Pages: 123-137
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.392.123
• Online since: April 2019
• Authors: Mohamed A. Medebber*, Abderrahmane Aissa, Mohamed El Amine Slimani, Noureddine Retiel
• Keywords: Average Nusselt Number, Computational Fluid Mechanics, Cylindrical Coordinate, Finite Volume Method, Magnetic Field, Nanofluid, Natural Convection, Partially Annular

References

[1] Salari, M., E.H. Malekshah, and M.H. Malekshah, Three-dimensional numerical analysis of the natural convection and entropy generation of MWCNTs-H2O and air as two immiscible fluids in a rectangular cuboid with fillet corners. Numerical Heat Transfer, Part A: Applications, 2017: pp.1-14.

DOI: 10.1080/10407782.2017.1309213

[2] K. Khanafer, K. Vafai, M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int. J. Heat Mass Transfer 46 (2003) 3639-3653.

DOI: 10.1016/s0017-9310(03)00156-x

[3] Sheikha M. Al-Weheibi , M.M. Rahman , M.S. Alam , K. Vajravelu , Numerical simulation of natural convection heat transfer in a trapezoidal enclosure filled with nanoparticles, International Journal of Mechanical Sciences (2017).

DOI: 10.1016/j.ijmecsci.2017.08.005

[4] M. M. Billah, M. M. Rahman, Uddin M. Sharif, M.N. Islam. Numerical simulation on buoyancy-driven heat transfer enhancement of nanofluids in an inclined triangular enclosure, Procedia Engineering 90 (2014) 517–523.

DOI: 10.1016/j.proeng.2014.11.766

[5] Abbas Kasaeipoor, Emad Hasani Malekshah, Lioua Kolsi. Free convection heat transfer and entropy generation analysis of MWCNT-MgO (15% -85%)/Water nanofluid using Lattice Boltzmann method in cavity with refrigerant solid body-Experimental thermo-physical properties, Powder Technology (2017).

DOI: 10.1016/j.powtec.2017.08.061

[6] Nadezhda S. Bondareva, Mikhail Sheremet, Hakan F. Öztop, Nidal Abu-Hamdeh, Natural convection in a partially open trapezoidal cavity filled with water-based nanofluid under the effects of Brownian diffusion and thermophoresi,, International Journal of Numerical Methods for Heat & Fluid Flow, doi.org/10.1108/HFF-04-2017-0170.

DOI: 10.1108/hff-04-2017-0170

[7] Esfandiary, M., Mehmandoust, B., Karimipour, A., Pakravan, H.A. Natural convection of Al2O3–water nanofluid in an inclined enclosure with the effects of slip velocity mechanisms: Brownian motion and thermophoresis phenomenon, International Journal of Thermal Sciences, vol. 105, (2016), p.137–158.

DOI: 10.1016/j.ijthermalsci.2016.02.006

[8] 8.T. Tagawa and H. Ozoe, The Natural Convection of Liquid Metal in a Cubical Enclosure with Various Electro-Conductivities of the Wall under the Magnetic Field, Int. J. Heat Mass Transfer, vol. 41, (1998), p.1917–(1928).

DOI: 10.1016/s0017-9310(97)00313-x

[9] H. Ben Hadid and D. Henry, Numerical Study of Convection in the Horizontal Bridgman Configuration under the Action of a Constant Magnetic Field Part 2, Three Dimensional Flow, J. Fluid Mech., vol. 333, (1996), p.57–83.

DOI: 10.1017/s002211209600420x

[10] H. Ozoe and K. Okada, The Effect of the Direction of the External Magnetic Field on the Three-Dimensional Natural Convection in a Cubical Enclosure, Int. J. Heat Mass Transfer, vol. 32, (1989) p.1939–(1954).

DOI: 10.1016/0017-9310(89)90163-4

[11] R. Moßner and U. Muller, A Numerical Investigation of Three-Dimensional Magnetoconvection in Rectangular Cavities, Int. J. Heat Mass Transfer, vol. 42, (1999), p.1111–1121.

DOI: 10.1016/s0017-9310(98)00115-x

[12] S. Kenjere_s and K. Hanjalic´, Numerical Simulation of Magnetic Control of Heat Transfer in Thermal Convection, Int. J. Heat Fluid Flow, vol. 25, (2004), p.559–568.

DOI: 10.1016/j.ijheatfluidflow.2004.02.021

[13] A. Juel, T. Mullin, H. Ben Hadid, and D. Henry, Magneto hydrodynamic Convection in Molten Gallium, J. Fluid Mech., vol. 378, (1999), p.97–118.

DOI: 10.1017/s0022112098003061

[14] U. Burr, L. Barleon, P. Jochmann, and A. Tsinober, Magneto hydrodynamic Convection in Vertical Slot with Horizontal Magnetic Field, J. Fluid Mech., vol. 475, (2003), p.21–40.

DOI: 10.1017/s0022112002002811

[15] S. Alexandrova and S. Molkov, Three-Dimensional Buoyant Convection in a Rectangular Cavity with Differentially Heated Walls in a Strong Magnetic Field, Fluid Dynam. Res., vol. 35, (2004), p.37–66.

DOI: 10.1016/j.fluiddyn.2004.04.002

[16] B. Xu, B. Q. Li, and E. Stock, An Experimental Study of Thermally Induced Convection of Molten Galliumin Magnetic Fields, Int. J. Heat Mass Transfer, vol. 49, (2006), p.2009–(2019).

DOI: 10.1016/j.ijheatmasstransfer.2005.11.033

[17] H. Ozoe, and K. Okada, Experimental Heat Transfer Rates of Natural Convection of Molten Gallium Suppressed Under an External Magnetic Field in Either x, y or z Direction, Int. J. Heat Mass Transfer, vol. 114, (1992), p.107–114.

DOI: 10.1115/1.2911234

[18] Marina S. Astanina , Mikhail A. Sheremet , Hakan F. Oztop , Nidal Abu-Hamdeh , MHD natural convection and entropy generation of ferroßuid in an open trapezoidal cavity partially Þlled with a porous medium, International Journal of Mechanical Sciences (2018).

DOI: 10.1016/j.ijmecsci.2018.01.001

[19] M.B. Ben Hamida and K. Charrada, Natural Convection Heat Transfer in an Enclosure Filled with an Ethylene Glycol—Copper Nanofluid Under Magnetic Fields, Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology, 67:8 (2015),pp.902-920.

DOI: 10.1080/10407782.2014.949209

[20] Malvandi, A., Ganji, D.D. Brownian motion and thermophoresis effects on slip flow alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field, International Journal of Thermal Sciences, vol. 84, (2014), p.196–206.

DOI: 10.1016/j.ijthermalsci.2014.05.013

[21] Sankar M, Venkatachalappa M, and Shivakumara IS. Effect of magnetic field on natural convection in a vertical cylindrical annulus. Int. J. Eng. Science, 44, (2006), pp.1556-1570.

DOI: 10.1016/j.ijengsci.2006.06.004

[22] Grosan T, Revnic C, Pop I, and Ingham DB. Magnetic field and internal heat generation effects on the free convection in a rectangular cavity filled with a porous medium. Int. J. Heat Mass Transfer, 52(5-6), (2009), pp.1525-1533.

DOI: 10.1016/j.ijheatmasstransfer.2008.08.011

[23] Seong, J. K. and Choung M. L., Control of flows around a circular cylinder: Suppression of oscillatory lift force, Fluid Dynamics Research, 29, (2001), pp.47-63.

DOI: 10.1016/s0169-5983(01)00019-3

[24] Chandran, P., Sacheti, N. C. and Singh, A. K., Hydromagnetic flow and heat transfer past a continuously moving porous boundary, International Communications in Heat and Mass transfer, 23, (1996), pp.889-898.

DOI: 10.1016/0735-1933(96)00071-1

[25] Chandran, P., Sacheti, N. C. and Singh, A. K., Unsteady hydromagnetic free convection flow with heat flux and accelerated boundary motion, Journal of Physical society of Japan, 67, (1998), pp.124-129.

DOI: 10.1143/jpsj.67.124

[26] Chandran, P., Sacheti, N. C. and Singh, A. K., A unified approach to analytical solution of a hydromagnetic free convection flow, Scientiae Mathematicae Japonicae, 53, (2001), pp.467-476.

[27] Mina Shahi, Amir Houshang Mahmoudi, Farhad Talebi, A numerical investigation of conjugated-natural convection heat transfer enhancement of a nanofluid in an annular tube driven by inner heat generating solid cylinder, International communication in Heat and Mass transfer 38, (2011), pp.533-542.

DOI: 10.1016/j.icheatmasstransfer.2010.12.022

[28] M. Esmaeilpour, M. Abdollahzadeh, Free convection and entropy generation of nanofluid inside an enclosure with different patterns of vertical wavy walls, International Journal of Thermal Science 52, (2012), pp.127-136.

DOI: 10.1016/j.ijthermalsci.2011.08.019

[29] T.S. Kumar, B.R. Kumar, O.D. Makinde, A.G.V. Kumar, Magneto-Convective Heat Transfer in Micropolar Nanofluid over a Stretching Sheet with Non-Uniform Heat Source/Sink. Defect and Diffusion Forum, 387 (2018), pp.78-90.

DOI: 10.4028/www.scientific.net/ddf.387.78

[30] Paras Ram, Vimal Kumar Joshi, O.D. Makinde, Anil Kumar, Convective Boundary Layer Flow of Magnetic Nanofluids under the Influence of Geothermal Viscosity. Defect and Diffusion Forum, 387 (2018), pp.296-307.

DOI: 10.4028/www.scientific.net/ddf.387.296

[31] K.U. Rehman, M.Y. Malik, O.D. Makinde, A.A. Malik: A comparative study of nanofluids flow yields by an inclined cylindrical surface in a double stratified medium. The European Physical Journal Plus, Vol.132, 427 (1-21) (2017).

DOI: 10.1140/epjp/i2017-11679-1

[32] M. Sankar, S. Kiran, G.K. Ramesh: Natural Convection in a Non-Uniformly Heated Vertical Annular Cavity. Defect and Diffusion Forum, Vol. 377, pp.189-199, (2017).

DOI: 10.4028/www.scientific.net/ddf.377.189

[33] Y. Xuan and W. Roetzel, Conceptions for Heat Transfer Correlation of Nanofluids, Int. J. Heat Mass Transfer, vol. 43, no. 19, (2000), p.3701–3707.

DOI: 10.1016/s0017-9310(99)00369-5

[34] H. C. Brinkman, The viscosity of concentrated suspensions and solution, J. Chem. Phys., vol. 20, (1952), p.571–581.

[35] Yu.W, Choi.SUS, The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. Journal of Nano-particle Reseach, 5, (2003), pp.167-171.

DOI: 10.1023/a:1024438603801

[36] Patankar, S. Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, (1980).

[37] M. Sheikholeslami, Numerical simulation of magnetic nanofluid natural convection in porous media, Phys. Lett. A (2017), Doi.org/10.1016/j.physleta.2016.11.042.