Turbulent Mixed Convection of a Nanofluid in a Horizontal Circular Tube with Non-Uniform Wall Heat Flux Using a Two-Phase Approach

Document Type: Original Research Paper

Authors

1 Mechanical Engineering Department, University of Zabol, Zabol, I.R. Iran

2 Mechanical Engineering Department, University of Sistan and Baluchestan, Zahedan, I.R.Iran

Abstract

In this paper, Turbulent mixed convective heat transfer of water and Al2O3 nanofluid has been numerically studied in a horizontal tube under non-uniform heat flux on the upper wall and insulation in the lower wall using mixture model. For the discretization of governing equations, the second-order upstream difference scheme and finite volume method were used. The coupling of pressure and velocity was established by using SIMPLEC algorithm. The calculated results demonstrated that the convective heat transfer coefficient of nanofluid is higher than of the base fluid and by increasing the nanoparticles volume fraction, the convective heat transfer coefficient and shear stress on the wall increase. On the other hand, with increasing the Grashof number, the shear stress and convective heat transfer coefficient decrease.

Keywords


[1] P.W. Deshmukh, R.P. Vedula, Heat transfer and friction factor characteristics of turbulent flow through a circular tube fitted with vortex generator inserts, International Journal of Heat and Mass Transfer 79 (2014) 551–560.

[2] T. Wenbin, T. Yong, Z. Bo, L. Longsheng, Experimental studies on heat transfer and friction factor characteristics of turbulent flow through a circular tube with small pipe inserts, International Communications in Heat and Mass Transfer 56 (2014) 1–7.

[3] A.F. Wibisono, Y. Addad, J.I. Lee, Numerical investigation on water deteriorated turbulent heat transfer regime in vertical upward heated flow in circular tube, International Journal of Heat and Mass Transfer 83 (2015) 173–186.

[4] J. Wen, H. Yang, S. Wang, S. Xu, Y. Xue, H. Tuo, Numerical investigation on baffle configuration improvement of the heat exchanger with helical baffles, Energy Conversion and Management 89 (2015) 438–448.

[5] J. Zhang, Y. Zhao, Y. Diao, Y. Zhang, An experimental study on fluid flow and heat transfer in a multiport minichannel flat tube with micro-fin structures, International Journal of Heat and Mass Transfer 84 (2015) 511–520.

[6] S.P. Guo, Z. Wu, W. Li, D. Kukulka, B. Sunden, X.P. Zhou, J.J. Wei, T. Simon, Condensation and evaporation heat transfer characteristics in horizontal smooth, herringbone and enhanced surface EHT tubes, International Journal of Heat and Mass Transfer 85 (2015) 281–291.

[7] D.J. Kukulka, R. Smith, K.G. Fuller, Development and evaluation of enhanced heat transfer tubes, Applied Thermal Engineering 31 (2011) 2141–2145.

[8] C. Muthusamy, M. Vivar, I. Skryabin, K. Srithar, Effect of conical cut-out turbulators with internal fins in a circular tube on heat transfer and friction factor, International Communications in Heat and Mass Transfer 44 (2013) 64–68.

[9] R. Raj, N.S. Lakshman, Y. Mukkamala, Single phase flow heat transfer and pressure drop measurements in doubly enhanced tubes, International Journal of Thermal Sciences 88 (2015) 215-227.

[10] W.H. Azmi, K.V. Sharma, P.K. Sarma, R. Mamat, S. Anuar, L.S. Sundar, Numerical validation of experimental heat transfer coefficient with SiO2 nanofluid flowing in a tube with twisted tape inserts, Applied Thermal Engineering 73 (2014) 296-306.

[11] T. Sokhansefat, A.B. Kasaeian, F. Kowsary, Heat transfer enhancement in parabolic trough collector tube using Al2O3/synthetic oil nanofluid, Renewable and Sustainable Energy Reviews 33 (2014) 636–644.

[12] K. Hadad, A. Rahimian, M.R. Nematollahi, Numerical study of single and two-phase models of water/Al2O3 nanofluid turbulent forced convection flow in VVER-1000 nuclear reactor, Annals of Nuclear Energy 60 (2013) 287–294.

[13] M. Shariat, R. Mokhtari Moghari, A. Akbarinia, R. Rafee, S.M. Sajjadi, Impact of nanoparticle mean diameter and the buoyancy force on laminar mixed convection nanofluid flow in an elliptic duct employing two phase mixture model, International Communications in Heat and Mass Transfer 50 (2014) 15–24.

[14]  A.A. Rabienataj Darzi, M. Farhadi, K. Sedighi, Heat transfer and flow characteristics of Al2O3–water nanofluid in a double tube heat exchanger, International Communications in Heat and Mass Transfer 47 (2013) 105–112.

[15]  R.S. Vajjha, D.K. Das, D.R. Ray, Development of new correlations for the Nusselt number and the friction factor under turbulent flow of nanofluids in flat tubes, International Journal of Heat and Mass Transfer 80 (2015) 353–367.

[16]  A. Malvandi, M.R. Safaei, M.H. Kaffash, D.D. Ganji, MHD mixed convection in a vertical annulus filled with Al2O3–water nanofluid considering nanoparticle migration, Journal of Magnetism and Magnetic Materials 382 (2015) 296–306.

[17]  B.H. Salman, H.A. Mohammed, A.S. Kherbeet, Numerical and experimental investigation of heat transfer enhancement in a microtube using nanofluids, International Communications in Heat and Mass Transfer 59 (2014) 88–100.

[18]  W.I.A. Aly, Numerical study on turbulent heat transfer and pressure drop of nanofluid in coiled tube-in-tube heat exchangers, Energy Conversion and Management 79 (2014) 304–316.

[19] S. Parvin, R. Nasrin, M.A. Alim, N.F. Hossain, A.J. Chamkha, Thermal conductivity variation on natural convection flow of water–alumina nanofluid in an annulus, International Journal of Heat and Mass Transfer 55 (2012) 5268–5274.

[20]  Y. Abbassi, M. Talebi, A.S. Shirani, J. Khorsandi, Experimental investigation of TiO2/Water nanofluid effects on heat transfer characteristics of a vertical annulus with non-uniform heat flux in non-radiation environment, Annals of Nuclear Energy 69 (2014) 7–13.

[21]  G. Dang, F. Zhong, Y. Zhang, X. Zhang, Numerical study of heat transfer deterioration of turbulent supercritical kerosene flow in heated circular tube, International Journal of Heat and Mass Transfer 85 (2015) 1003–1011.

[22] A. Moghadassi, E. Ghomi, F. Parvizian, A numerical study of water based Al2O3 and Al2O3−Cu hybrid nanofluid effect on forced convective heat transfer, International Journal of Thermal Sciences 92 (2015) 50-57.

[23]  K. Wusiman, H. Chung, M.J. Nine, H. Afrianto, Heat transfer characteristics of nanofluid through circular tube, J. Cent. South Univ 20 (2013) 142−148.

[24]  V. Bianco, O. Manca, S. Nardini, Performance analysis of turbulent convection heat transfer of Al2O3 water-nanofluid in circular tubes at constant wall temperature, Energy 77 (2014) 403-413.

[25]  G. Saha, M.C. Paul, Heat transfer and entropy generation of turbulent forced convection flow of nanofluids in a heated pipe, International Communications in Heat and Mass Transfer 61 (2015) 26–36.

[26] A. Aghaei, G A. Sheikhzadeh, M. Dastmalchi, H. Forozande, Numerical investigation of turbulent forced-convective heat transfer of Al2O3–water nanofluid with variable properties in tube, Ain Shams Engineering Journal 6 (2015) 577-585.

[27]  A. Behzadmehr, M. Saffar-Avval, N. Galanis, Prediction of Turbulent Forced Convection of a Nanofluid in a Tube with Uniform Heat Flux Using a Two Phase Approach, International Journal of Heat and Fluid Flow 28 (2007) 211–219.

[28]  M. Hejazian, M. Keshavarz Moraveji , A. Beheshti, Comparative study of Euler and mixture models for turbulent flow of Al2O3 nanofluid inside a horizontal tube, International Communications in Heat and Mass Transfer 52 (2014) 152–158.

[29]  V. Bianco, O. Manca, S. Nardini, Numerical investigation on nanofluids turbulent convection heat transfer inside a circular tube, International Journal of Thermal Sciences 50 (2011) 341–349.

[30]  M. Akbari, A. Behzadmehr, F. Shahraki, Fully developed mixed convection in horizontal and inclined tubes with uniform heat flux using nanofluid, International Journal of Heat and Fluid Flow 29 (2008) 545–556.

[31]  S. Mirmasoumi, A. Behzadmehr, Effect of nanoparticles mean diameter on mixed convection heat transfer of a nanofluid in a horizontal tube, International Journal of Heat

and Fluid Flow 29 (2008) 557–566.

[32]  A. Akbarinia, A. Behzadmehr, Numerical study of laminar mixed convection of a nanofluidin horizontal curved tubes, Applied Thermal Engineering 27 (2007) 1327–1337.

[33]  O. Ghaffari, A. Behzadmehr, H. Ajam, Turbulent mixed convection of a nanofluid in a horizontal curved tube using a two-phase approach, International Communications in Heat and Mass Transfer 37 (2010) 1551–1558.

[34]  R. Mokhtari Moghari, A.S. Mujumdar, M. Shariat, F. Talebi, S.M. Sajjadi, A. Akbarinia, Investigation effect of nanoparticle mean diameter on mixed convection Al2O3-water nanofluid flow in an annulus by two phase mixture model, International Communications in Heat and Mass Transfer 49 (2013) 25–35.

[35]  H. Aminfar, M. Mohammadpourfard, Y. NarmaniKahnamouei, 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 (2011) 1963–1972.

[36]  S. Mirmasoumi, A. Behzadmehr, Numerical study of laminar mixed convection of a nanofluid in a horizontal tube using two-phase mixture model, Applied Thermal Engineering 28 (2008) 717–727

[37]  Sh. Allahyari, A. Behzadmehr, S.M. Hosseini Sarvari, Conjugate heat transfer of laminar mixed convection of a nanofluid through a horizontal tube with circumferentially non-uniform heating, International Journal of Thermal Sciences 50 (2011) 1963-1972.

[38]  M. Manninen, V. Taivassalo, S. Kallio, On the Mixture Model for Multiphase Flow, Technical Research Center of Finland, VTT Publications 288 (1996). 9–18.

[39]  L. Schiller, A. Naumann, A drag coefficient correlation, Z. Ver. Deutsch. Ing. 77 (1935). 318–320.

[40]  B.E. Launder, D.B. Spalding, Lectures in Mathematical Models of Turbulence, Academic Press, London, England, 1972.

[41]  A.M. Hussein, K.V. Sharma, R.A. Bakar, K. Kadirgama, The Effect of Nanofluid Volume Concentration on Heat Transfer and Friction Factor inside a Horizontal Tube, Hindawi Publishing Corporation, Journal of Nanomaterials (2013) 859563.

[42]  B.C. Pak, Y.I. Cho, Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Exp Heat Transfer 11(1998) 151–70.

[43]  S.U.S. Choi, Z.G. Zhang, P. Keblinski, Nanofluids. Encyclopedia of Nanoscience and Nanotechnology 6 (2004) 757–773

[44]  J. Buongiorno, Convective transport in nanofluids, ASME J of Heat Transfer 128 (2006) 240–250.

[45]  C.H. Chon, K.D. Kihm, S.P. Lee, S.U.S. Choi, Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement, J. Phys. 82 (2005) 1–3.

[46]  N. Masoumi, N. Sohrabi, A. Behzadmehr, A new model for calculating the effective viscosity of nanofluids, J. Phys. 42 (2009) 055501.

[47]  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 (2003) 3639–3653.

[48]  V. Gnielinski, New equations for heat and mass transfer in turbulent pipe and channel flow. International Chemical Engineering 16 (1976) 359-368.

[49] E.B. Haghighi, A.T. Utomo, M. Ghanbarpour, A.I.T. Zavareh, H. Poth, R. Khodabandeh, A. Pacek, B.E. Palm, Experimental study on convective heat transfer of nanofluids in turbulent flow: Methods of comparison of their performance, Experimental Thermal and Fluid Science 57 (2014) 378–387.

[50]  S. Torii, Turbulent Heat Transfer Behavior of Nanofluid in a Circular Tube Heated under Constant Heat Flux, Hindawi Publishing Corporation Advances in Mechanical Engineering, 2 (2010) 917612.