INVESTIGATION OF LORENTZ FORCE EFFECT ON STEADY NANOFLUID FLOW AND HEAT TRANSFER THROUGH PARALLEL PLATES

In this paper Lorentz force effect on steady fluid flow and heat transfer of nanofluid is examined. The nanofluid is transported through horizontal parallel plates with magnetic flux of uniform density acting perpendicular to the plates. The effects of thermo-fluidic parameters such as Schmidt number, viscosity and magnetic parameter on flow and heat transfer are presented. Other important heat and mass transfer parameters such as Nusselt and Sherwood numbers practically relevant were also studied. Obtained results from analytical solutions shows quantitative increase of Magnetic parameter varied within the range of 1-4 depicts increasing temperature distribution. Also results when compared with past literatures forms good agreement. Therefore study provides a good emphasis for the advancements of Nano fluidics such as micro mixing, friction reduction, energy conservation, and biological samples.

Keywords:

Steady Flow, Nanofluid, Horizontal Plates Lorentz Force, Homotopy Perturbation Method,

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[1] Abu-Nada, E., Masoud, Z., Hijazi, Z., (2008). Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids, International Communication Heat Transfer, 35, 657-665.
[2] Cortell, R., (2014). Fluid flow and radiative nonlinear heat transfer over a stretching sheet, Journal of King Saud University, 26, 161-167.
[3] Ellahi, R., Aziz,S., Zeshan, A., (2013) .Non-Newtonian nanofluid flow through porous medium between two coaxial cylinder with heat transfer and variable viscosity, Journal of Porous Media, 16 , 205-216.
[4] Garoosi. F., Bagheri,G., Rashidi,M.M.,(2015). Two phase simulation of natural convection and mixed convection of nanofluid in square cavity, Powder Technology, 275, 239-256.
[5] Garoosi,F., Rohani, B., Rashidi, M.M., (2015). Two phase modeling of mixed convection nanofluids in a square cavity with internal and external heating, Powder Technology, 275, 304-321.
[6] Garoosi, F., Jahanshaloo, L., Rashidi,M.M., Badakhsh, A. Alli, A. (2015). Numerical simulation of natural convection of the nanofluid in heat exchangers using a Buongiorno model, Applied Mathematics and Computation, 254, 183-203.
[7] Malvadi, A., Ganji, D.D., (2014). Brownian motion and thermophoretic effects of slip flow of alumina/water nanofluid inside a circular microchannel in the presence of magnetic field, International Journal of Thermal Science, 84, 196-206.
[8] Mehmood, A., Ali, A., (2008). Analytic solution of three dimensional viscous flow and heat transfer over a stretching surface by homotopy analysis method, American Society of Mechanical Engineers, 130 , 21701-21707.
[9] Rashidi, M.M., Abelman, S., Freidooni, S., Mehr, N., (2013). Entropy generation in steady MHD flow due to rotating porous disk in a nanofluid, International Journal of Heat and Mass Transfer, 62, 515- 525.
[10] Rashidi, S., Dehghan,M., Ellahi, R., Biaz, M., Jamal-Abad, M.T., (2015) .Study of streamwise transverse fluid with convective surface boundary condition, International Journal of Heat and Mass Transfer, 378 ,128-137.
[11] Shehzad, S.A., Alsaedi, A., Hayat, T., (2012). Three dimensional flow of Jeffery fluid with convective surface boundary condition, International Journal of Heat and Mass Transfer, 55, 3971-3976.
[12] Shehzad, S.A., Qasim, M., Alsaedi, A., Hayat, T., Alhuthali, M.S., (2013). Combined effects of thermal stratification and thermal radiation in mixed convection flow of thixotrophic fluid, European Physics Journal, 128-137.
[13] Shehzad, S.A., Alsaedi, F.E., Hayat, T., Monaquel, S.J., (2014). MHD mixed convection flow of thixotrophic fluid with thermal radiation, Heat Transfer Research, 45, 659-676.
[14] Sheikholeslami, M., Ashorynejad, H.R., Domairry, G., Hashim, I., Flow and heat transfer of Cu-water nanofluid between a stretching sheet and a porous surface in rotating system, Journal of Applied Mathematics. Article ID: 421320.
[15] Sheikholeslami, M., Gorji-Bandpy, M., Soleimani, S., (2013). Two phase simulation of nanofluid flow and heat transfer using heat analysis, International Communication of Heat and Mass Transfer, 47, 73-81.
[16] Akbar, N., Rahman, S.U., Ellahi, R., Nadeem, S., (2014). Nanofluid flow in tapering stenosed arteries with permeable walls, International Journal of Thermal Science, 85 ,54-61.
[17] Ashorynojad, H.R., Sheikholeslami, M., Pop, M., Ganji, D.D., (2013). Nanofluid flow and heat transfer due to stretching cylinder in the presence of magnetic field, Heat Mass Transfer Research, 49, 427-436.
[18] Ashorynojad, H.R., Mohamad, A.A., Sheikholeslami, M., (2013). Magnetic field effects on natural convection flow of a nanofluid in a horizontal cylindrical annulus using Lattice Boltzmann method, International Journal of Thermal Science, 64, 240-250.
[19] Domairry, D., Sheikholeslami, M., Ashorynejad, M.R., Suba Reddy Goria, R., (2012). Natural convection of flow of a non-Newtonian nanofluid between two vertical parallel plates, Proceeding of Institute of Mechanical Engineers Part N: Journal of Nanoengineering Nanosystem, 225, 115-122.
[20] Elllahi, R., (2013). The effect of MHD and temperature dependent viscosity on flow of non-Newtonian nanofluid in a pipe: analytical solutions, Applied Mathematical Model, 37, 2013, pp. 1451-1457.
[21] Ellahi, R., Reza, M., Vafai, K., (2012). Series solution of non-Newtonian nanofluids with Reynolds model and Vogel’s model by means of homotopy analysis method, Mathematical Computational Model, 55, 1876-1891.
[22] Ellahi, R., Hassan, M., Zeeshan, A., (2015). Shape effect of nanosize particles on Cu-H20 nanofluid on entropy generation, International Journal of Heat and Mass Transfer, 81, 449-456.
[23] Hatami, M., Sheikholeslami, M., Hosseini, M., Ganji, D.D., (2014). Analytical investigation of MHD nanofluid flow in non-parallel walls, Journal of Molecular Liquids, 194, 251-259.
[24] Hatami, M., Shikholeslami, M., Ganji, D.D., (2014). Nanofluid flow and heat transfer in asymmetrical porous channel with expanding or contracting wall, Journal of Molecular Liquid, 195, 230-239.
[25] Hatami, M., Shikholeslami, M., Ganji, D.D., (2014). Laminar flow and heat transfer of nanofluid between contracting and rotating disks by least square method, Powder Technology. 253, 769-779.
[26] Jou, R.Y., Teng, S.C., (2006). Numerical research of natural convective heat transfer enhancement filled with nanofluid in rectangular enclosures, International Communications in Heat and Mass Transfer, 33, 727-736.
[27] Ketayari, G.H.R., (2013). Lattice Boltzmann simulation of natural convection in a nanofluid filled inclined cavity at presence of magnetic field, Science Iran, 20, 1517-1527.
[28] Ketayari, G.H.R., (2013). Lattice Boltzmann simulation of natural convection in nanofluid filled 2D long enclosures at presence of magnetic source. Theoretical Computational Fluid Dynamics, 27, 865-883.
[29] Ketayari, G.H.R., (2013). Lattice Boltzmann simulation of MHD natural convection in nanofluid filled cavity with sinousoidal temperature distribution, Powder Technology, 243, 171-183.
[30] Khan, W.A., Pop, I., (2010). Boundary layer flow of a nanofluid past a stretching sheet. International Journal of Heat Mass Transfer, 53, 2477-2483.
[31] Sheikholeslami, M., Ganji, D.D., (2013). Heat transfer of Cu-water nanofluid flow between parallel plates, Powder Technology, 235, 873-879.
[32] Chand, R., Rana, G., Hussein, A.K. (2015). On the onset of thermal Instability in a low Prandtl number nanofluid layer in a porous medium. Journal of Applied Fluid Mechanics, 8 (2), 265-272.
[33] Mohammed, H., Al-Aswadi, A., Abu-Mulaweh, H., Hussein, A.K., Kanna, P. (2014). Mixed convection over a backward-facing step in a vertical duct using nanofluids-buoyancy opposing case, Journal of Computational and Theoretical Nanoscience, 11, 1-13.
[34] Hussein, A.K., Ashorynejad, H., Shikholeslami, M., Sivasankaran, S. (2014). Lattice Boltzmann simulation of natural convection heat transfer in an open enclosure filled with Cu–water nanofluid in a presence of magnetic field. Nuclear Engineering and Design, 268, 10-17.
[35] Chand, R., Rana, G. a, Hussein, A.K. (2015). Effect of Suspended Particles on the Onset of Thermal Convection in a Nanofluid Layer for More Realistic Boundary Conditions. International Journal of Fluid Mechanics Research, 42 (5),375-390.
[36] Akinshilo, A.T., Olofinkua, J.O., Olaye, O., (2017). Flow and Heat Transfer Analysis of Sodium Alginate Conveying Copper Nanoparticles between Two Parallel Plates. Journal of Applied and Computational Mechanics, DOI:10.22055/jacm.2017.21514.1105.
[37] Sheikholeslami, M., Rashidi, M.M., Alsaad, D.M., Firouzi, F., Rokni, H.B., Domairry, G., (2015). Steady nanofluid flow between parallel plates considering thermophoresis and Brownian effect. Journal of King Saud, http.dx.doi.org/10.1016/j.jksus.2015.06.003.
[38] Hussein, A.K., Bakier, M., Ben Hamida, M., Sivasankaran, S. (2016). Magneto-hydrodynamic natural convection in an inclined T-shaped enclosure for different nanofluids and subjected to a uniform heat source, Alexandria Engineering Journal, 55, 2157-2169.
[39] Hussein, A.K., (2017). Mustafa, A. Natural convection in fully open parallelogrammic cavity filled with Cu-water nanofluid and heated locally from its bottom wall, Thermal Science and Engineering Progress, 1, 66-77.
[40] Kargar, A., Akbarzade, M., (2012). Analytical solution of Natural convection Flow of a non-Newtonian between two vertical parallel plates using the Homotopy Perturbation Method. World Applied Sciences Journal. 20, 1459-1465.
[41] Arslanturk, A., (2005). A decomposition method for fin efficiency of convective straight fin with temperature dependent thermal conductivity. International Communications in Heat and Mass Transfer, 32, 831-841.
[42] Aziz, A., Enamul-Huq, S.M., (1973). Perturbation solution for convecting fin with temperature dependent thermal conductivity. Journal of Heat Transfer, 97, 300-310.
[43] Zhou, J.K., (1986). Differential Transformation and its application for Electrical circuits, Huazhong University Press, China.

Başlangıç: 2015
Yayıncı: YILDIZ TEKNİK ÜNİVERSİTESİ

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