Nanofluid forced convection through a microtube with constant heat flux and slip boundary

Document Type : Persian


1 Graduate student, Department of Mechanical Engineering, Faculty of Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Isfahan, Iran

2 Assistant Professor, Department of Mechanical Engineering, Faculty of Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Isfahan, Iran


Given the need to increase the efficiency of heat transfer in thermal systems, especially systems using nanofluids in microscale and nanoscale heat transfer equipment ideas to improve their performance is very good.In present study, the flow and heat transfer of Water-Cu nanofluid in micro-tube with slip regime with constant wall heat flux numerically simulated with low Reynolds numbers. Slip velocity and temperature jump boundary conditions are also considered along the microtube walls, for first time. The results are presented as the profiles of temperature and velocity. Nusselt number and pressure drop coefficient calculated in interance and full developed region. The effect of slip and using nano particle considerd.
It is observed that Nusselt number increases with slip velocity coefficient and pressure drop coefficient decreases; att intrance region the Raynolds of flow has effect on Nusselt and pressure drop coefficient,too.
Likewise observed nano particle adding to water has low effect to increases Nusselt number and pressure drop coefficientt.


[1] Sundar L.S, Singh M.K, Convective heat transfer and friction factor correlations of nanofluid in a tube and with inserts: A review. Journal of Renewable and Sustainable Energy Reviews 2013; 20: 23-35.
[2] Ahuja AS. Augmentation of heat transport in laminar flow of polystyrene suspension: experiments and results. Journal of Applied Physics 1975; 46: 3408–16.
[3] Choi SUS Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of the 1995 ASME international mechanical engineering congress and exposition, San Francisco, CA, USA, 1995.
[4] Raisi A, Ghasemi B and Aminossadati S.M, A Numerical Study on the Forced Convection of Laminar Nanofluid in a Microchannel with Both Slip and No-Slip Conditions. Numerical Heat Transfer, 2011 Part A, 59, pp. 114-129.
[5] Safaei M.R, Togun H, Vafai K, Kazi S.N, and Badarudin, A, Investigation of Heat Transfer Enchantment ina Forward-Facing contracting Channel using FMWCNT Nanofluids. Numerical Heat Transfer, 2014Part A, 66, pp. 1321-1340.
[6] Karimipour A, Esfe M.H, Safaei, M.R, Semiromi D.T, and Kazi S.N, Mixed convection of Copper-Water nanofluid in a shallow inclined lid driven cavity using lattice Boltzmann method. Physica 2014 A, 402, pp. 150-168.
[7] Jung J.-Y, Oh H.-S, Kwak H.-Y, Forced convective heat transfer of nanofluids in microchannels, Int. J. Heat Mass Transfer 52 2009, 466-472.
[8] Heris S.Z, Etemad S.Gh, Esfahany M.N, Experim­ental investigation of oxide nanofluids laminar flow convective heat transfer, Internationa Commun­ication in Heat and Mass Transfer. 33 2006, 529-535. [9] Gad-el Hak M, Flow physics in MEMS, Rev. Mec. Ind., 2001, 2, 313-341.
[10] Adams T.M, Abdel-Khalik S.I, Jeter S.I, Qureshi Z.H, An experimental investigation of single-phase forced convection in microchannel, International Journal of Heat and Mass Transfer, 1998, 41, pp. 851-857.
[11] Xuan Y, Li Q, and Ye M, Investigation of convec­tion heat transfer in ferrofluid microflows using lattice-Boltzmann approach, International Journal of Heat and Mass Transfer Thermal Sciences, 2007, 46, pp. 105-111.
[12] Ho C, Tia Y, Micro-electro-mechanical-system (MEMS) and fluid flows, Annu. Rev. Fluid Mech., 1998, 30, pp. 579-612.
[13] Choi Z, Zhang Y, Numerical simulation of laminar forced convection heat transfer Al2O3–water nanofluid in a pipe with return bend, 2012, 55, pp. 90-102.
[14] Tahir S, Mital M, Numerical investigation of lam­inar nanofluid developing flow and heat transfer in a circular channel, Applied Thermal Engineering, 2012, 39, pp. 8-14.
[15] Akbarinia A, Laur R, Investigating the diameter of solid particles effects on a laminar nanofluid flow in a curved tube using a two phase approach, International Journal of Heat and Fluid flow, 2009, 30, pp. 706-718.
[16] Kumar P, Ganesan R, A CFD Study of Turbulent Convection Heat Transfer Enhancement in Circular Pipeflow, Internatinal Journal of Civil and Envirronmental Engineering, 2012, 7, pp. 385-392.
[17] Duan Z, Muzychka Y.S,”Slip flow in non-circular microchannels”, Microfluid Nanofluid 3(2007)473-484.
[18] Brinkman H.C, The Viscosity of Concentrated Sus­pensions and Solution, J. Chem. Phys.,1952, vol. 20, pp. 571–581.
[19] Patel H.E, Sundararajan T, Pradeep T, Dasgupta A, Dasgupta N, and Das S.K, A Micro-Convection Model for Thermal Conductivity of Nanofluids, Pramana — J. Phys.,2005, vol. 65, no. 5, pp. 863–869.
[20] Sun W, Kakac S, Yazicioglu A.G, A numerical study of Single-phase convection heat transfer in microtubes for slip flow, International Journal of Thermal Sciences, 2007, 46, pp. 1084-1094.
 [21] Bahrami H, Bergman T.L, Faghri A, Forced conv­ection heat transfer in a microtubes including rare­faction, viscous dissipation and axial conduction effects, International Journal of Heat and Mass Transfer, 2012, 55, pp. 6665-6675.
 [22] Zhang T, Jia L, Zhicheng W, Validation of Navier-Stokes equations for slip flow analysis within transition region, International Journal of Heat and Mass Transfer, 2008, 51, pp. 6323-6327.
[23] Bejan A, Convection Heat Transfer (4th Edition): John Wiley & Sons, Incorporated,. p 37