Periodic Mixed Convection of a Nanofluid in a Cavity with Top Lid Sinusoidal Motion
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:64500", author = "Arash Karimipour and M. Afrand and M. M. Bazofti", title = "Periodic Mixed Convection of a Nanofluid in a Cavity with Top Lid Sinusoidal Motion", 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", volume = "4", number = "11", pages = "1320-6", }
