Periodic Mixed Convection of a Nanofluid in a Cavity with Top Lid Sinusoidal Motion

Authors: Arash Karimipour, M. Afrand, M. M. Bazofti

Abstract:

The periodic mixed convection of a water-copper nanofluid inside a rectangular cavity with aspect ratio of 3 is investigated numerically. The temperature of the bottom wall of the cavity is assumed greater than the temperature of the top lid which oscillates horizontally with the velocity defined as u = u0 sin (ω t). The effects of Richardson number, Ri, and volume fraction of nanoparticles on the flow and thermal behavior of the nanofluid are investigated. Velocity and temperature profiles, streamlines and isotherms are presented. It is observed that when Ri < 1, heat transfer rate is much greater than when Ri > 1. The higher value of Ri corresponds to a lower value of the amplitude of the oscillation of Num in the steady periodic state. Moreover, increasing the volume fraction of the nanoparticles increases the heat transfer rate.

Keywords: Nanofluid, Top lid oscillation, Mixed convection, Volume fraction

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1085169

References:

[1] Oztop H.F., Dagtekin I. ,Mixed convection in two-sided lid-driven differentially heated square cavity, Int. J. of Heat and Mass Transfer, 47 (2004) 1761-1769.
[2] Sharif M.A.R., Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom, Applied Thermal Engineering 27 (2007) 1036-1042.
[3] Khanafer K., Vafai K., Lightstone M., Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int. J. of Heat and Mass Transfer 46 (2003) 3639-3653.
[4] Jou R.Y., Tzeng S.C., Numerical research of natural convective heat transfer enhancement filled with nanofluids in rectangular enclosures, Int. Communications in Heat and Mass Transfer 33 (2006) 727-736.
[5] Ho C.J., Chen M.W., Li Z.W., Numerical simulation of natural convection of nanofluid in a square enclosure: Effects due to uncertainties of viscosity and thermal conductivity, Int. J. of Heat and Mass Transfer 51 (2008) 4506-4516.
[6] Hwang K.S., Lee J.H., Jang S.P., Buoyancy-driven heat transfer of water-based AL2O3 nanofluids in a rectangular cavity, Int. J. of Heat and Mass Transfer 50 (2007) 4003-4010.
[7] Oztop H.F., Abu-Nada E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. of Heat and Fluid Flow 29 (2008) 1326-1336.
[8] Tiwari R.K., Das M.K., Heat transfer augmentation in a two-sided liddriven differentially heated square cavity utilizing nanofluids, Int. J. of Heat and Mass Transfer 50 (2007) 2002-2018.
[9] Akbarinia A., Behzadmehr A., Numerical study of laminar mixed convection of a nanofluid in horizontal curved tubes, Applied Thermal Engineering 27 (2007) 1327-1337.
[10] Mirmasoumi S., Behzadmehr A., Numerical study of laminar mixed convection of a nanofluid in a horizontal tube using two-phase mixture model, Applied Thermal Engineering 28 (2008) 717-727.
[11] Behzadmehr A., Saffar-Avval M., Galanis N., Prediction of turbulent forced convection of a nanofluid in a tube with uniform heat flux using a two phase approach, Int. J. of Heat and Fluid Flow 28 (2007) 211-219.
[12] Talebi F., Mahmoudi A.H., Shahi M., Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid, International Communications in Heat and Mass Transfer 37 (2010) 79- 90.
[13] Muthtamilselvan M., Kandaswamy P., Lee J., Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure, Commun Nonlinear Sci Numer Simulat 15 (2010) 1501-1510.
[14] Khanafer K.M., Al-Amiri A.M., Pop I., Numerical simulation of unsteady mixed convection in a driven cavity using an externally excited sliding lid, European J. of Mechanics B/Fluids 26 (2007) 669-687.
[15] Brinkman H.C., The viscosity of concentrated suspensions and solutions, J. Chem. Phys. 20 (1952) 571-581.
[16] Xuan Y., Li Q., Investigation on convective heat transfer and flow features of nanofluids, ASME J. Heat Transfer 125 (2003) 151-155.
[17] Prasher R., Bhattacharya P., Phelan P.E., Brownian-motion-based convective-conductive model for the effective thermal conductivity of nanofluid, ASME J. Heat Transfer 128 (2006) 588-595.
[18] Chon C.H., Kihm K.D., Lee S.P., Choi S.U.S., Empirical correlation finding the role of temperature and particle size for nanofluid (AL2O3) thermal conductivity enhancement, Appl. Phys. Lett. 87 (2005) 1-3.
[19] Patankar S.V., Numerical heat transfer and fluid flow, hemisphere, New York, 1980.