Abstract

Two or more nanoparticles in a base fluid has been an increasing interest in modern years due to great improvement in heat transfer performance. In the present work, an analysis is carried out to study the flow characteristics and heat transfer performance on convection in a lid-driven trapezoidal cavity with sinusoidal bottom wall composed of equal quantities of Cu and Al2O3 nanoparticles dispersed in water base fluid. Further, the effect of an applied magnetic field 𝐵𝑜 on the flow pattern of the cavity is also be analysed.The sinusoidal bottom wall is heated while the top side of the cavity is cooled isothermally and the left and right walls are insulated. All the walls of the cavity are kept as no-slip walls except the upper wall which is a moving wall driven by a uniform velocity 𝑉 along the 𝑥-axis. The associated governing equations have been solved using finite element method. The parametric study on the implication of Richardson number Ri and solid volume fraction of nanoparticles 𝜑, Prandtl number 𝑃𝑟 and Hartmann number 𝐻𝑎on the flow structure and heat transfer characteristics are performed in details while the Reynolds number and Prandtl number considered fixed. The numerical results indicated that the Richardson number have significant effects on the flow and heat transfer performance. On the other hand the results also show significant effects of increasing the volume fraction of hybrid nanofluid. Moreover, it is also noticed that combination of two different nanoparticles suspension have a better performance of heat transfer. Results are presented in terms of streamlines, isotherms and average Nusselt number of the hybrid nanofluid for different values of respective parameters. 

Keywords

References

[1] J. Sarkar, P. Ghosh, A. Adil, A review on hybrid nanofluids: Recent research, development and applications, Renewable and Sustainable Energy Reviews 43 (2015), pp. 164–177.
[2] Cruz, J. M. S., Hammond, G. P. and Reis, A. J. P. S., “Thermal performance of a trapezoidal-shaped solar collector/energy store”, Applied Energy, vol. 2002, pp. 195-212, 2002.
[3] Ishrat Zahan and M.A. Alim, MHD effect on solid fluid thermal conductivity ratio and wall thickness in a Nanofluid Filled Enclosure, Journal of Engineering Mathematics & Statistics, Vol. 2 (1) (2018), pp. 1-23.
[4] S.U.S. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, ASME International Mechanical Engineering Congress &Exposition San Francisco, Vol. 231 (1995), pp. 99-105.
[5] Z.H. Han, B. Yang, S.H. Kim, M.R. Zachariah, Application of hybrid sphere/carbon nanotubeparticles in nanofluids, Nanotechnology 18 (2007) 105701. [6] S. Jan, A.S. Khojin, W.H. Zhong, Enhancement of fluid thermal conductivity by the addition ofsingle and hybrid nano-additives, Thermochim Acta 462 (2007), pp. 462: 45–55.
[7] C.J. Ho, J.B. Huang, P.S. Tsai, Y.M. Yang, Preparation and properties of hybrid water based suspension of Al2O3 nanoparticles and MEPCM particles as functional forced convection fluid, Int. Commun. Heat Mass Transf. 37 (2010), pp. 490–494.
[8] S.S. Botha, P. Ndungu, B.J. Bladergroen, Physicochemical properties of oil based nanofluids containing hybrid structures of silver nanoparticle supported on silica, Ind. Eng. Chem. Res. 50 (2011), pp. 3071–3077.
[9] J.C. Maxwell, A treatise on electricity and magnetism, Oxford, UK: Clarendon Press; 1873.
[10] A.J. Chamkha, I.V. Miroshnichenko, M.A. Sheremet, Numerical analysis of unsteady conjugate natural convection of hybrid water-based nanofluid in a semicircular cavity, J. Thermal Science Engineering Applications 9 (2017).
[11] M. Sheikholeslami, M. G. Bandpy and D. D. Ganji, Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid, Powder Technology, 254 (2014), 82-93.
[12] M. Sheikholeslami, D. D. Ganji and M. M. Rashidi, Ferrofluid flow and heat transfer in a semi annulus enclosure in the presence of magnetic source considering thermal radiation , J. Taiwan Inst. Chem. Eng. 47 (2015), 6-17.
[13] M. M. Rahman and M.A. Alim, MHD Mixed Convection flow in a vertical lid-drive square enclosure including a heat conducting horizontal circular cylinder with Joule heating, Nonlinear Analysis: Modeling and Control, Vol. 15 (2) (2010), pp. 199-211.
[14] A.M. Rashad, Ali J. Chamkha, Muneer A. Ismae, Taha. Salah, MHD natural convection in a triangular cavity filled with a CuAl2O3/water hybrid nanofluid with localized heating from below and internal heat generation, J. of Heat Transfer (2018), pp. 1- 23.
[15] G. H. Bagheri and M. M. Rashidi, Two phase simulation of natural convection and mixed convection of the nanofluid in a square cavity, J. Chem. Phys. 20 (2015), pp. 571-581.
 [16] P. Dechaumphai, Finite Element Method in Engineering, 2nd ed., Chulalongkorn University Press, Bangkok, 1999.
 [17] COMSOL Multiphysics Ltd. Version 4.3. Burlington. MA.