Assessment of Particle-size and Temperature Effect of Nanofluid on Heat Transfer Adopting Lattice Boltzmann Model

Authors

1 Department of Mechanical Engineering, University of Zabol, Zabol, Iran

2 Department of Computer Sciences, University of Sistan & Baluchestan, Zahedan, Iran

Abstract

The investigation of the effect of nanoparticles’ mean diameter and temperature of Al2O3–water nanofluid on velocity and energy field using the lattice Boltzmann method is the main objective of  this study. The temperature of the vertical walls is considered constant at Tc and Th, respectively, while the up and the down horizontal surfaces are smooth and insulated against heat and mass. The influences of Grashof number (103, 104, 105) Prandtl number (Pr=3.42, 5.83), the various volume fraction of nanoparticles (φ=0, 0.01, 0.03, 0.05) and particle-size (dp= 24, 47, 100 nm) were carried out on heat transfer and flow fields. It was concluded that addition of nanoparticles causes a significantly affect on temperature and flow fields. The decrement of heat transfer is observed with the increment of solid volume fraction, but it increases when Grashof number and nanoparticles’ mean diameter increase. The decrement of nanoparticles’ mean diameter and Prandtl number have the same effect on Nusselt number. In addition, it was resulted that the thermal conductivity model had insignificantly impact on the mean Nusselt number than the dynamic viscosity model.

Keywords


1.     Abu-Nada, E., "Natural convection heat transfer simulation using energy conservative dissipative particle dynamics", Physical Review E, Vol. 81, No. 5, (2010), https://doi.org/10.1103/PhysRevE.81.056704.

2.     Calcagni, B., Marsili, F. and Paroncini, M., "Natural convective heat transfer in square enclosures heated from below", Applied Thermal Engineering,  Vol. 25, No. 16, (2005), 2522-2531.

3.     Kuznik, F., Vareilles, J., Rusaouen, G. and Krauss, G., "A double-population lattice boltzmann method with non-uniform mesh for the simulation of natural convection in a square cavity", International Journal of Heat and Fluid Flow,  Vol. 28, No. 5, (2007), 862-870.

4.     Chol, S. and Estman, J., "Enhancing thermal conductivity of fluids with nanoparticles", ASME-Publications-Fed,  Vol. 231, (1995), 99-106.

5.     Ghadimi, A., Saidur, R. and Metselaar, H., "A review of nanofluid stability properties and characterization in stationary conditions", International Journal of Heat and Mass Transfer,  Vol. 54, No. 17-18, (2011), 4051-4068.

6.     Shahriari, A., Javaran, E.J. and Rahnama, M., "Effect of nanoparticles brownian motion and uniform sinusoidal roughness elements on natural convection in an enclosure", Journal of Thermal Analysis and Calorimetry,  Vol. 131, No. 3, (2018), 2865-2884.

7.     Ziaei-Rad, M., Saeedan, M. and Afshari, E., "Simulation and prediction of mhd dissipative nanofluid flow on a permeable stretching surface using artificial neural network", Applied Thermal Engineering,  Vol. 99, (2016), 373-382.

8.     Ziaei-Rad, M., Kasaeipoor, A., Rashidi, M.M. and Lorenzini, G., "A similarity solution for mixed-convection boundary layer nanofluid flow on an inclined permeable surface", Journal of Thermal Science and Engineering Applications,  Vol. 9, No. 2, (2017), doi: 10.1115/1.4035733.

9.     Murshed, S., Leong, K. and Yang, C., "Thermophysical and electrokinetic properties of nanofluids–a critical review", Applied Thermal Engineering,  Vol. 28, No. 17-18, (2008), 2109-2125.

10.   Choi, S., Zhang, Z. and Keblinski, P., Nanofluids, encyclopedia of nanoscience and nanotechnology (hs nalwa, editor), vol. 5. P.(757-773). 2004, American Scientific Publisher.

11.   Khanafer, K., Vafai, K. and Lightstone, M., "Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids", International Journal of Heat and Mass Transfer,  Vol. 46, No. 19, (2003), 3639-3653.

12.   Putra, N., Roetzel, W. and Das, S.K., "Natural convection of nano-fluids", Heat and Mass Transfer,  Vol. 39, No. 8-9, (2003), 775-784.

13.   Wen, D. and Ding, Y., "Formulation of nanofluids for natural convective heat transfer applications", International Journal of Heat and Fluid Flow,  Vol. 26, No. 6, (2005), 855-864.

14.   Hwang, K.S., Lee, J.-H. and Jang, S.P., "Buoyancy-driven heat transfer of water-based al2o3 nanofluids in a rectangular cavity", International Journal of Heat and Mass Transfer,  Vol. 50, No. 19-20, (2007), 4003-4010.

15.   Kim, J., Kang, Y.T. and Choi, C.K., "Analysis of convective instability and heat transfer characteristics of nanofluids", Physics of Fluids,  Vol. 16, No. 7, (2004), 2395-2401.

16.   Lin, K.C. and Violi, A., "Natural convection heat transfer of nanofluids in a vertical cavity: Effects of non-uniform particle diameter and temperature on thermal conductivity", International Journal of Heat and Fluid Flow,  Vol. 31, No. 2, (2010), 236-245.

17.   Jang, S.P., Lee, J.-H., Hwang, K.S. and Choi, S.U., "Particle concentration and tube size dependence of viscosities of Al2O3-water nanofluids flowing through micro-and minitubes", Applied Physics Letters,  Vol. 91, No. 24, (2007), https://doi.org/10.1063/1.2824393.

18.   Xu, J., Yu, B., Zou, M. and Xu, P., "A new model for heat conduction of nanofluids based on fractal distributions of nanoparticles", Journal of Physics D: Applied Physics,  Vol. 39, No. 20, (2006), 4486-4490.

19.   Nguyen, C., Desgranges, F., Roy, G., Galanis, N., Maré, T., Boucher, S. and Mintsa, H.A., "Temperature and particle-size dependent viscosity data for water-based nanofluids–hysteresis phenomenon", International Journal of Heat and Fluid Flow,  Vol. 28, No. 6, (2007), 1492-1506.

20.   Li, J., Li, Z. and Wang, B., "Experimental viscosity measurements for copper oxide nanoparticle suspensions", Tsinghua Science and Technology,  Vol. 7, No. 2, (2002), 198-201.

21.   Masoumi, N., Sohrabi, N. and Behzadmehr, A., "A new model for calculating the effective viscosity of nanofluids", Journal of Physics D: Applied Physics,  Vol. 42, No. 5, (2009), https://doi.org/10.1088/0022-3727/42/5/055501.

22.   Chon, C.H., Kihm, K.D., Lee, S.P. and Choi, S.U., "Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement", Applied Physics Letters,  Vol. 87, No. 15, (2005), https://doi.org/10.1063/1.2093936.

23.   Kao, P.-H. and Yang, R.-J., "Simulating oscillatory flows in rayleigh–benard convection using the lattice boltzmann method", International Journal of Heat and Mass Transfer,  Vol. 50, No. 17-18, (2007), 3315-3328.

24.   Brinkman, H., "The viscosity of concentrated suspensions and solutions", The Journal of Chemical Physics,  Vol. 20, No. 4, (1952), 571-571.

25.   Fox, R.W., McDonald, A.T. and Pritchard, P.J., "Introduction to fluid mechanics 6th edition, john wiley & sons", Wiley, New York, (2004).