Numerical Investigation of Double- Diffusive Mixed Convective Flow in a Lid-Driven Enclosure Filled with Al2O3-Water Nanofluid

Document Type : Original Research Paper


Mechanical Engineering Department, Iran University of Science and Technology, Narmak, Tehran, I.R. Iran


Double-diffusive mixed convection in a lid-driven square enclosure filled with Al2O3-water is numerically investigated. Two-dimensional nonlinear governing equations are discretized using the control volume method and hybrid scheme. The equations are solved using SIMPLER algorithm. The results are displayed in the form of streamlines, isotherms, and iso-concentrations when the Richardson number varies between 0.01 and 100, the Lewis number changes from 0.1 to 10, the buoyancy ratio ranges between 0 and 5,the volume fractions of nanoparticles differs from 0 to 0.06 and the source location moves from the top toward bottom of the left wall. Moreover, the variation of average Nusselt and Sherwood number are illustrated. It is observed that heat transfer enhances as nanoparticles volume fraction increases, while mass transfer reduces. Additionally, by increasing the buoyancy ratio, both heat and mass transfer are increased.


[1] B. Gebhart, L. Pera: The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat and Mass Transfer. 14 (1971) 2025-2050.
[2] A. Bejan: Mass and heat transfer by natural convection in a cavity, Int. J. Heat Fluid Flow. 6(3) (1985) 2125-2150.
[3] C. Beghein, F. Haghighat, F. Allard: Numerical study of double-diffusive natural convection in a square cavity, Int. J. Heat Mass Transf. 35 (1992) 833-846.
[4] A.J. Chamkha, H. Al-Naser: Hydro magnetic double-diffusive convection in a rectangular enclosure with opposing temperature and concentration gradients, Int. J. Heat Mass Transf. 45 (2002) 2465-2483.
[5] Q.H. Deng, J. Zhou, C.Mei, Y.M. Shen: Fluid, heat and contaminant transport structures of laminar double-diffusive mixed convection in a two-dimensional ventilated enclosure, Int. J. Heat Mass Transf. 47(24) (2004) 5257-5269.
[6] A. M. Al-Amiri, Kh. M. Khanafer, I. Pop: Numerical simulation of combined thermal and mass transport in a square lid-driven cavity, Int. J. Therm. Sci. 46(7) (2007) 662-671.
[7] B. B. Beya, T. Lili: Oscillatory double-diffusive mixed convection in a two-dimensional ventilated enclosure, Int. J. Heat Mass Transf. 50(23-24) (2007) 4540-4553.
[8] M. A. Teamah, W. M. El-Maghlany: Numerical simulation of double-diffusive mixed convective flow in rectangular enclosure with insulated moving lid, Int. J. Therm. Sci. 49(9) (2010) 1625-1638.
[9] F. Talebi, A. H. Mahmoudi, M. Shahi: Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid, Int. Commun. Heat Mass Transf. 37(1) (2010) 79-90.
[10] H. Nemati, M. Farhadi, K. Sedighi, E. Fattahi, A.A.R. Darzi: Lattice Boltzmann simulation of nanofluid in lid-driven cavity, Int. Commun. Heat Mass Transf. 37(10) (2010) 1528-1534.
[11] A. J. Chamkha, E. Abu-Nada: Mixed convection flow in single- and double-lid driven square cavities filled with water-Al2O3 nanofluid: Effect of viscosity models, Europ. J. Mech. B/Fluids. Available online 19 March 2012.
[12] E. Abu-Nada, Z. Masoud, H. Oztop, A. Campo: Effect of nanofluid variable properties on natural convection in enclosures, Int. J. Thermal Sci. 49 (2010) 479-491.
[13] 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. 87 (2005) 153107.
[14] G.A. Sheikhzadeh, M. Ebrahim Qomi, N. Hajialigol and A. Fattahi: Numerical study of mixed convection flows in a lid-driven enclosure filled with nanofluid using variable properties. Results Phys. 2 (2012) 5-13.
[15] C.T. Nguyen, F. Desgranges, G. Roy, N. Galanis, T. Mare, S. Boucher, H. Angue Minsta: Temperature and particle-size dependent viscosity data for water-based nanofluids-hysteresis phenomenon. Int. J. Heat Fluid Flow. 28 (2007) 1492-1506.
[16] J. Abolfazli Esfahani, V. Bordbar: Double Diffusive Natural Convection Heat Transfer Enhancement in a Square Enclosure Using Nanofluids, J. Nanotech. Eng. Med. 2 (2011) 1-9.
[17] L. C. Thomas: Heat transfer: Mass transfer supplement, Printice-Hall, Englewood (1991).