CFD simulations on natural convection heat transfer of alumina-water nanofluid with Brownian motion effect in a 3-D enclosure

Document Type : Research Article

Authors

1 Mechanical Engineering Department, Islamic Azad University, Central Tehran Branch, Tehran, Iran

2 Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran

Abstract

The CFD simulation has been undertaken concerning natural convection heat transfer of a nanofluid in vertical square enclosure, whose dimension, width height length (mm), is 40 40 90, respectively. The nanofluid used in the present study is -water with various volumetric fractions of the alumina nanoparticles ranging from 0-3%. The Rayleigh number is . Fluent v6.3 is used to simulate nanofluid considering it as a single phase. The effect of Brownian motion on the heat transfer is examined. A comparison between the two studies of with and without the Brownian motion, shows that when the Brownian motion is considered, the solid volume fraction of nanoparticles has dissimilar effects on the heat transfer. The numerical results show a decrease in heat transfer with increase in particle volume fraction considering Brownian motion effects. Moreover, computed result demonstrates an increase of Nusselt number with Rayleigh number as depicted by experimental results.

Highlights

- Natural convection in an enclosure filled with a nanofluid has been studied numerically.
- The numerical simulation has been carried out using the CFD approach.
- The effect of Brownian motion of nanoparticles on the heat transfer was examined.
- Heat transfer decreases was nanoparticles increase, considering the Brownian motion effect.
- The Nusselt number increases with the Rayleigh number.

Keywords


[1] S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, In: ASME FED, 231 (1995) 99–105.
[2] S. Dinarvand, R. Hosseini, E. Damangir, I. Pop, Series solution for steady three-dimensional stagnation point flow of a nanofluid past a circular cylinder with sinusoidal radius variation, Meccanica, 48 (2013) 643–652.
[3] M. Eftekhari Yazdi, A. Moradi, S. Dinarvand, Radiation effects on MHD stagnation point flow in a nanofluid, Res. J. Appl. Sci. Eng. Technol., 5 (22) (2013) 5201–5208.
[4] S. Khalili, R. Dinarvand, I. Hosseini, R. Dehkordi, H. Tamim, Stagnation-point flow and heat transfer of a nanofluid adjacent to linearly stretching/shrinking sheet: a numerical study, Res. J. Appl. Sci. Eng. Technol., 7 (2014) 83–90.
[5]  G. De Vahl Davis, I.P. Jones, Natural convection in a square cavity: a benchmark numerical solution, Int. J. Numer. Meth. Fl., 3 (1983) 227–248.
[6] R.J. Krane, J. Jessee, Some detailed field measurements for a natural convection flow in a vertical square enclosure, 1st ASME-JSME Thermal Engineering Joint Conference, 1 (1983) 323–329.  
[7] T.J.M. Fusegi, K. Hyun, B. Kuwahara, A. Farouk, Numerical study of three dimensional natural convection in a differentially heated cubical enclosure, Int. J. Heat Mass Tran., 34 (1991) 1543–1557.
[8] K. Khanafer, K. Vafai, M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int. J. Heat Mass Tran., 46 (2003) 3639–3653.
[9] C.J. Ho, M.W. Chen, Z.W. Li, Numerical simulation of natural convection of nanofluid in a square enclosure: effect due to uncertainties of viscosity and thermal conductivity, Int. J. Heat Mass Tran., 51 (2008) 4506–4516.
[10] A.K. Santra, S. Sen, N. Chakraborty, Study of heat transfer augmentation in a differentially heated square cavity using copper-water nanofluid, Int. J. Therm. Sci., 47 (2008) 1113–1122.
[11] N. Putra, W. Roetzel, S.K. Das, Natural convection of nano-fluids, Heat Mass Transfer, 39 (2003) 775–784.
[12] K.S. Hwang, J.H. Lee, S.P. Jang, Buoyancy-driven heat transfer of water based nanofluids in a rectangular cavity, Int. J. Heat Mass Tran., 50 (2007) 4003–4010.
[13] S.P. Jang, S.U.S. Choi, Free convection in a rectangular cavity (Benard convection) with nanofluids, In: Proceedings of the IMECE, Anaheim, California, USA (2004).
[14] S. Dinarvand, A. Abbassi, R. Hosseini, I. Pop, Homotopy analysis method for mixed convection boundary-layer of a nanofluid over a vertical circular cylinder with prescribed surface temperature, Therm. Sci.,  19 (2015) 549–561.
[15] X.Q. Wang, A.S. Mujumdar, C. Yap, Free convection heat transfer in horizontal and vertical rectangular cavities filled with nanofluids, In: International Heat Transfer Conference IHTC-13, Sydney, Australia (2006).
[16] G. Polidori, S. Fohanno, C.T. Nguyen, A note on heat transfer modeling of Newtonian nanofluids in laminar free convection, Int. J. Therm. Sci., 46 (2007) 739–744.
[17] S. Dinarvand, R. Hosseini, I. Pop, Unsteady convective heat and mass transfer of a nanofluid in Howarth’s stagnation point by Buongiorno’s model, Int. J. Numer. Method H., 25 (5) (2015) 1176–1197.
[18] H. Tamim, S. Dinarvand, R. Hosseini, I. Pop, MHD mixed convection stagnation-point flow of a nanofluid over a vertical permeable surface: a comprehensive report of dual solutions, Heat Mass Transfer, 50 (2014) 639–650.
[19] M. Bahiraei, M. Hangi, Flow and heat transfer characteristics of magnetic nanofluids: A review, J. Magn. Magn. Mater., 374 (2015) 125–138.
[20] H. Tamim, S. Dinarvand, R. Hosseini, S. Khalili, I. Pop, Unsteady mixed convection flow of a nanofluid near orthogonal stagnation-point on a vertical permeable surface, J. Process Mech. Eng., 228 (3) (2014) 226–237.
[21] A. Jafari, S.M. Mousavi, T. Tynjala, P. Sarkomaa, CFD simulation of gravitational sedimentation and clustering effects on heat transfer of a nano-ferrofluid, In: PIERS Proceedings, Beijing, China, March 23–27 (2009).
[22] A.F. Ismail, W. Rashmi, M. Khalid, Numerical study on buoyancy driven heat transfer utilizing nanofluids in a rectangular enclosure, In: Proceedings of the UK-Malaysia engineering conference 2008, London (2008) 118–123.
[23] C.J. Ho, W.K. Liu, Y.S. Chang, C.C. Lin, Natural convection heat transfer of alumina-water nanofluid in vertical square enclosures: An experimental study, Int. J. Therm. Sci., 49 (2010) 1345–1353.
[24] J. Buongiorno, Convective transport in nanofluids, J. Heat Transf., 128 (3) (2006) 240–250.
[25] J.C. Maxwell Garnett, Colours in metal glasses and in metallic films, Philos. T. R. Soc. Lond., 203 (1904) 385–420.
[26] B. Ghasemi, S.M. Aminossadati, Brownian motion nanoparticles in a triangular enclosure with natural convection, Int. J. Therm. Sci., 49 (2010) 931–940.
[27] J. Koo, C. Kleinstreuer, A new thermal conductivity model for nanofluids, J. Nanopart. Res., 6 (6) (2004) 577-588.
[28] H.C. Brinkman, The viscosity of concentrated suspensions and solution, J. Chem. Phys., 20 (1952) 571–581.
[29] J. Koo, C. Kleinstreuer, Laminar nanofluid in microheat-sinks, Int. J. Heat Mass Tran., 48 (13) (2005) 2652-2661.