Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl


Preferences help
enabled [disable] Abstract
Number of results
2022 | 163 | 78-98

Article title

Investigation of Heat Transfer Characteristics of Spherical Copper and Alumina Nanoparticles in Water and Ethylene glycol Based Fluids


Title variants

Languages of publication



A study of heat transfer rate of spherical copper and alumina nanoparticles in water and ethylene glycol based fluids was carried out. A modified thermal conductivity model in conjunction with steady state momentum and energy equations in spherical coordinates were put into dimensionless form and solutions used to determine the skin friction, heat transfer coefficient and thermal conductivity as well as viscosity. The modified model incorporates Brownian motion and varied sphericity to observe the effect of temperature and other material parameters on the velocity and temperature profiles of the fluid. Using numerical values, it was shown that the nanoparticle volume fractions, the diameter and Prandtl number, not only enhanced the thermal conductivity of nanofluids but also the velocity and temperature profiles. It was also observed that the Brownian motion which is temperature dependent was actually a weak factor in enhancement of thermal conductivity. The effect of other parameters as well as calculation of mass flux and mean temperature was determined.







Physical description


  • Department of Physics, University of Port Harcourt, P M B 5323 Choba, Port Harcourt, Nigeria
  • Department of Physics, University of Port Harcourt, P M B 5323 Choba, Port Harcourt, Nigeria


  • [1] Choi S. U. S. Enhancing thermal conductivity of fluids with nanoparticle, in: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows. ASME FED (1995), 66: 99-105
  • [2] Yu, W. H, France, D. M, Routbort J. L and Choi S. U. S: Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transfer Engineering 2009, 29: 432-460
  • [3] Eapen J, Rusconi R, Piazza R and Yip S: The classical nature of thermal conduction in nanofluids. Journal of Heat Transfer 2010, 132, 102402-1-102402-14
  • [4] Keblinski, P., Eastman, J. A., and Cahill, D. G. Nanofluids for thermal transport. Materials Today, (2005), 8(6): 36-44
  • [5] Xie H, Wang J, Xi T and Liu Y: Thermal conductivity of suspensions containing nanosized SiC particles. International Journal of Thermophysics. 2002, 23(2):571-580.
  • [6] Hamilton R. L, Crosser O. K: Thermal conductivity of heterogeneous two component systems. Industrial Engineering and Chemistry Fundamentals 1962, 1(3): 187-191
  • [7] Jeffrey D. J: Conduction through a random suspension of spheres. Proceedings of Royal Society, A 1973, 335: 355-367
  • [8] Davis R. H: The effective thermal conductivity of a composite material with spherical inclusions. International Journal of Thermophysics 1986, 7: 609-620
  • [9] Wang, L. Q, Zhou, X. S, and Wei, X. H: Heat conduction mathematical models and analytical solutions Berlin: Springer-Verlag; 2008.
  • [10] Koo J, Kang Y and Kleinstreuer C. A nonlinear effective thermal conductivity model for carbon nanotube and nanofiber suspensions. Nanotechnology 2008, 19, 375705-1-375705-7
  • [11] Jang S. P and Choi S. U.S: Effects of various parameters on nanofluid thermal conductivity. ASME Journal of Heat Transfer 2007, 129: 617-623
  • [12] Patel, H. E., Das, S. K., Sundararagan, T., Nair, A. S., Geoge, B., and Pradeep, T. Thermal conductivities of naked and monolayer protected metal nanoparticle based nanofluids: Manifestation of anomalous enhancement and chemical effects. Applied Physics Letters, (2003), 83, 2931-2933
  • [13] Das, S. K., Putta, N., Thiesen, P., and Roetzel, W. Temperature dependence of thermal conductivity enhancement for nanofluids. ASME Transnational Journal of Heat Transfer, (2003). 125, 567-574
  • [14] Xuan, Y., Li, Q., and Hu, W. Aggregation structure and thermal conductivity of nanofluids. AICHE Journal, (2003), 49(4), 1038-1043
  • [15] Kumar, D. H., Patel, H. E., Kumar, V. R. R., Sundararajan, T., Pradeep, T., and Das, S. K. Model for heat conduction in nanofluids. Physical Review Letters, (2004), 93(14): 144, 301–1–144, 301–4
  • [16] Bhattacharya, P., Saha, S. K., Yadav, A., Phelan, P. E., and Prasher, R. S. Brownian dynamics simulation to determine the effective thermal conductivity of nanofluids. Journal of Applied Physics, (2004), 95(11): 6492-6494
  • [17] Putnam, S. A., Cahill, D. G., Braun, P. V., Ge, Z., and Shimmin, R. G. Thermal conductivity of nanoparticle suspensions. Journal of Applied Physics, (2006), 99(8), 084, 308
  • [18] Koo, J. and Kleinstreuer, C. A new thermal conductivity model for nanofluids. Journal of Nanoparticle Research, (2004), 6(6): 577-588
  • [19] Koo, J. and Kleinstreuer, C. Laminar nanofluid flow in micro-heat sinks. International Journal of Heat and Mass Transfer, (2005), 48(13): 2652-2661
  • [20] Wang, X. W, Xu, X. F and Choi, S. U. S: Thermal conductivity of nanoparticle-fluid mixture. Journal of Thermal physics and Heat Transfer 1999, 13: 474-480
  • [21] Keblinski P, Phillpot S. R, Choi S. U. S and Eastman J. A: Mechanisms of heat flow insuspensions of nanos-sized particles (nanofluids). International Journal of Heat and Mass Transfer 2002, 45: 855-863
  • [22] Tiwari, R. K and Das, M. K. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. International Journal of Heat and Mass Transfer (2007), 50; 9-10
  • [23] Asma, K; Khan, I and Sharidan, S. Exact solution for free convecton flow of nanofluids with ramped wall Temperature. The European Physical Journal-Plus (2015), 130: 57-71
  • [24] Aaiza, G., Khan, I. & Shafie, S. Energy Transfer in Mixed Convection MHD Flow of Nanofluid Containing Different Shapes of Nanoparticles in a Channel Filled with Saturated Porous Medium. Nanoscale Res Lett 10, 490 (2015). https://doi.org/10.1186/s11671-015-1144-4
  • [25] Mansour, R. B., Galanis, N., and Nguyen, C. T. Effect of uncertainties in physical properties on forced convection heat transfer with nanofluids. Applied Thermal Engineering, (2007), 27(1): 240-249
  • [26] Polidori, G, Fohanno, S, and Nguyen, C. T. A note on heat transfer modelling of Newtonian nanofluids in laminar free convection. International Journal of Thermal Sciences, (2007), 46(8): 739-744
  • [27] Abu-Nada, E. Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step. International Journal of Heat and Fluid Flow, (2008), 29(1): 242-249
  • [28] Timofeeva, E. V; Jules, R. L and Dileep, S Particle Shape effect on Thermo Physical Properties of Alumina Nanofluids. Journal of Application Physics (2009), 106: 014304
  • [29] Lee S and Choi S. U. S: Measuring thermal conductivity of fluids containing oxide nanoparticles. Journal of Heat Transfer 1999, 121: 280-289
  • [30] Li, C. H, Williams W: Transient and steady-state experimental comparison study of effective thermal conductivity of Al2O3 -water nanofluids. Journal of Heat Transfer 2008, 130, 042407-1-042407-7
  • [31] Kolade, B, Goodson K. E and Eaton J. K: Convective performance of nanofluids in a laminar thermally developing tube flow. Journal of Heat Transfer 2009, 13: 052402-1-052402-8
  • [32] Williams, W, Buongiorno J and Hu, L. W: Experimental investigation of turbulent convective heat transfer and pressure loss of alumina/water and zirconia/water nanoparticle colloids (nanofluids) in horizontal tubes. Journal of Heat Transfer 2008, 130: 042412-1-042412-7
  • [33] Wang, X and Mujumdar, A. S. A review on nanofluids - part I: Theoretical and numerical investigations. Brazilian Journal of Chemical Engineering 2008, 25(4), 613-630
  • [34] Hashin Z and Shtrikman S: Conductivity of polycrystals. Physical Review 1963, 130: 129-133
  • [35] Xuan, Y, and Li, Q. Heat transfer enhancement of nanofluids. International Journal of Heat and Fluid Flow 2000, 21: 58-64
  • [36] Sato, Y, Deutsch, E and Simonin, O. Direct numerical simulations of heat transfer solid particles suspended in homogeneous isotropic turbulence. International Journal of Heat and Fluid Flow 1998, 19(2): 187-192
  • [37] Wong, K. V and De Leon, O. Application of Nanofluids: current and future. Advances in Mechanical Engineering 2000, 2: 519659
  • [38] Kuznetsov, A. V and Nield, D. A. Natural convective boundary layer flow of a nanofluid past a vertical plate. International Journal of Thermal Science 2010, 49: 243-247

Document Type


Publication order reference


YADDA identifier

JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.