Numerical Study of Laminar Mixed Convection Heat Transfer of a Nanofluid in a Concentric Annular Tube Using Two-Phase Mixture Model
Authors: Roghayyeh Motallebzadeh, Shahin Hajizadeh, Mohammad Reza Ghasemi
Abstract:
Laminar mixed Convection heat transfer of a nanofluid with prescribed constant heat flux on the inner wall of horizontal annular tube has been studied numerically based on two-phase mixture model in different Rayleigh Numbers and Azimuth angles. Effects of applying of different volume fractions of Al2O3 nanoparticles in water as a base fluid on hydrodynamic and thermal behaviors of the fluid flow such as axial velocity, secondary flow, temperature, heat transfer coefficient and friction coefficient at the inner and outer wall region, has been investigated. Conservation equations in elliptical form has been utilized and solved in three dimensions for a steady flow. It is observed that, there is a good agreement between results in this work and previously published experimental and numerical works on mixed convection in horizontal annulus. These particles cause to increase convection heat transfer coefficient of the fluid, meanwhile there is no considerable effect on friction coefficient.
Keywords: Buoyancy force, Laminar mixed convection, Mixture model, Nanofluid, Two-phase.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091410
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[1] J.C. Maxwell, "Electricity and Magnetism,” Clarendon Press, Oxford, UK, 1873.
[2] S. E. B. Maiga, C. T. Nguyen, N. Gulanis and G. Roy, "Heat Transfer Behaviors of Nanofluids in a Uniformly Heated Tube, Super Lattices and Microstructures,” vol. 35, pp. 543- 557.
[3] H. Masuda, A. Ebata, K. Teramae, N. Hishinuma, "Alteration of Thermal Conductivity and Viscosity of Liquid by Dispersing Ultra-Fine Particles (Dispersions Of -Al2O3, SiO2, and TiO2 Ultra-Fine Particles),” Netsu Bussei (Japan), vol. 4, 1993, 227–233.
[4] S. U. S. Choi, "Developments and Applications of Non-Newtonian Flows,” ASME Publications FED, vol. 231/MD, vol. 66, 1995, p.99.
[5] S. Lee, S. U.S. Choi, S. S. Li, J. A. Eastman, "Measuring Thermal Conductivity of Fluids Containing Oxide Nanoparticles,” J. Heat Transfer, vol. 121, 1999, 280-289.
[6] X. Wang, X. Xu, and S. U. S. Choi, "Thermal Conductivity of Nanoparticle–Fluid Mixture,” J. Thermophys. Heat Transfer, vol. 13, 1999, 474-480.
[7] Y. Xuan and Q. Li, "Heat Transfer Enhancement of Nanofluids,” Int. J. Heat Fluid Flow, vol. 21, 2000, pp. 58–64.
[8] Keblinski, P., S. R. Phillpot, S. U. S. Choi, and J. A. Eastman (2002). "Mechanisms of Heat Flow in Suspensions of Nano-Sized Particles (Nanofluids),” Int. J. Heat and Mass Transfer, vol. 45, pp. 855–863.
[9] Xie, H. Q., J. C. Wang, T. G. Xi, and Y. Liu, "Thermal Conductivity of Suspensions Containing Nanosized SiC Particles,” Int. J. Thermophys., vol. 23, 2002, pp. 571–580.
[10] Yu, W., and S. U. S. Choi, "An Effective Thermal Conductivity Model of Nanofluids with a Cubic Arrangement of Spherical Particles,” J. Nanosci. Nanotechnol., vol. 5, 2005, pp. 580–586.
[11] Xuan, Y., and W. Roetzel, "Conceptions for Heat Transfer Correlation of Nanofluids,” Int. J. Heat Mass Transfer, vol. 43, 2000, pp. 3701–3707.
[12] Khaled, A. R. A., and K. Vafai, "Heat Transfer Enhancement through Control of Thermal Dispersion Effects,” Int. J. Heat and Mass Transfer, vol. 48, 2005, p. 2172.
[13] Ding, Y., and D. Wen, "Particle Migration in a Flow of Nanoparticle Suspensions,” Powder Technol., vol. 149 (2–3), 2005, pp. 84–92.
[14] N. Putra, W. Roetzel, S.K. Das, "Natural Convection of Nanofluids,” J. Heat Mass Transf., vol. 39, 2003, pp. 775–784.
[15] W. Daungthongsuk, S. Wongwises, "A Critical Review of Convective Heat Transfer of Nanofluids,” Renew. Sustain. Energ. Rev. 11 (5), 2007, pp. 797–817.
[16] 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, vol. 28, 2008, pp. 717-727.
[17] K. Khanafer, K. Vafai, M. Lightstone, "Buoyancy-Driven Heat Transfer Enhancement in a Two Dimensional Enclosure Utilizing Nanofluids,” Int. J. Heat Mass Transfer, vol. 46, 2003, pp. 3639–3653.
[18] J. Koo, C. Kleinstreuer, "Laminar Nanofluid Flow in Microheat-Sinks,” Int. J. Heat Mass Transfer, vol. 48, 2005, pp. 2652–2661.
[19] M. Akbari, A. Behzadmehr, "Developing Laminar Mixed Convection of a Nanofluid in a Horizontal Tube with Uniform Heat Flux,” Int. J. Num. Meth. Heat Fluid Flow, vol. 17, 2007, pp. 566–586.
[20] Akbarinia, A. Behzadmehr, "Numerical Study of Laminar Mixed Convection of a Nanofluid in a Horizontal Curved Tube,” Appl. Therm. Eng., vol. 27, 2007, pp. 1327–1337.
[21] 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,” Int. J. Heat Fluid Flow, vol. 28, 2007, pp. 211–219.
[22] Y. Mori, K. Futagami, S. Tokuda, M. Nakamura, "Forced Convective Heat Transfer in Uniformly Heated Horizontal Tubes, 1st Report, Experimental Study on the Effect of Buoyancy,” Int. J. Heat Mass Transfer, vol. 9, 1966, pp. 453–463.
[23] B.S. Petukhov, A.F. Polyakov, B.S. Strigin, "Heat Transfer in Tubes with Viscous–Gravity Flow,” Heat Transfer – Soviet Res 1, 1969, pp. 24–31.
[24] K.C. Cheng, F.P. Yuen, "Flow Visualization Studies on Secondary Flow Pattern for Mixed Convection in the Thermal Entrance Region of Isothermally Heated Inclined Pipes,” ASME Heat Transfer Division, vol. 42, 1985, pp. 121–130.
[25] G. S. Barozzi, E. Zanchini, M. Mariotti, "Experimental Investigation of Combined Forced and Free Convection in Horizontal and Inclined Tubes,” Meccanica, vol. 20, 1998, pp. 18–27.
[26] M. Ciampi, S. Faggiani, W. Grassi, F.P. Incropera, G. Tuoni, "Experimental Study of Mixed Convection in Horizontal Annuli for Low Reynolds Numbers,” in: Proceedings of the International Heat Transfer Conference, vol. 3, 1986, pp. 1413–1418.
[27] C. Zhang, "Mixed Convection inside Horizontal Tubes with Nominally Uniform Heat Flux,” AIChE Symp. Ser. 88, 1992, pp. 212–219.
[28] G.J. Hwang, H.C. Lai, "Laminar Convection Heat Transfer in a Horizontal Isothermal Tube for High Reynolds Numbers,” Int. J. Heat Mass Transfer, vol. 37, 1994, pp. 1631–1640.
[29] M. Manninen, V. Taivassalo, S. Kallio, "On the Mixture Model for Multiphase Flow,” vol. 288, Technical Research Center of Finland, VTT Publications, 1996, pp. 9–18.
[30] L. Schiller, A. Naumann, "A Drag Coefficient Correlation,” Z. Ver. Deutsch. Ing. 77, 1935, pp. 318–320.
[31] 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,” Appl. Phys. Lett., vol. 87, 2005, pp. 1–3.
[32] Nazrul, U.N. Gaitonde, G.K. Sharma, "Combined Free and Forced Convection Heat Transfer in a Horizontal Annulus,” in: Proceedings of 11th International Conference on Heat Transfer, Kyonjju, Korea, vol. 3, 1998, pp. 299–304.