A modified variable physical properties model, for analyzing nanofluids flow and heat transfer over nonlinearly stretching sheet

Document Type : Original Research Paper

Author

School of Mechanical Engineering, Shahrood University of Technology

Abstract

In this paper, the problem of laminar nanofluid flow which results from the nonlinear stretching of a flat sheet is investigated numerically. In this paper, a modified variable physical properties model for analyzing nanofluids flow and heat transfer is introduced. In this model, the effective viscosity, density, and thermal conductivity of the solid-liquid mixture (nanofluids) which are commonly utilized in the homogenous single-phase model, are locally combined with the prevalent single-phase model. A numerical similarity solution is considered which depends on the local Prandtl number, local Brownian motion number, local Lewis number, and local thermophoresis number. The results are compared to the prevalent single-phase model. This comparison depicts that the prevalent single-phase model has a considerable deviation for predicting the behavior of nanofluids flow especially in dimensionless temperature and nanoparticle volume fraction. In addition the effect of the governing parameters such as Prandtl number, the Brownian motion number, the thermophoresis parameter, the Lewis number, and etc. on the velocity, temperature, and volume fraction distribution and the dimensionless heat and mass transfer rates are examined.

Keywords

References

[1] Hamad MA, Ferdows M. Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet. Applied Mathematics and Mechanics. 2012 Jul 1;33(7):923-30.
[2] Choi SU, Zhang ZG, Yu W, Lockwood FE, Grulke EA. Anomalous thermal conductivity enhancement in nanotube suspensions. Applied physics letters. 2001 Oct 1;79(14):2252-4.
[3] Aminossadati SM, Ghasemi B. Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure. European Journal of Mechanics-B/Fluids. 2009 Oct 31;28(5):630-40.
[4] Xie H, Lee H, Youn W, Choi M. Nanofluids containing multiwalled carbon nanotubes and their enhanced thermal conductivities. Journal of Applied physics. 2003 Oct 15;94(8):4967-71.
[5] Chol SU. Enhancing thermal conductivity of fluids with nanoparticles. ASME-Publications-Fed. 1995 Nov 12;231:99-106.
[6] Abu-Nada E, Chamkha AJ. Mixed convection flow in a lid-driven inclined square enclosure filled with a nanofluid. European Journal of Mechanics-B/Fluids.2010 Dec 31;29(6):472-82.
[7] Sheikhzadeh GA, Arefmanesh A, Kheirkhah MH, Abdollahi R. Natural convection of Cu–water nanofluid in a cavity with partially active side walls.European Journal of Mechanics-B/Fluids. 2011 Apr30;30(2):166-76.
[8] Hassan H. Heat transfer of Cu–water nanofluid in an enclosure with a heat sink and discrete heat source. European Journal of Mechanics-B/Fluids. 2014 Jun30;45:72-83.
[9] Bourantas GC, Skouras ED, Loukopoulos VC, Burganos VN. Heat transfer and natural convection of nanofluids in porous media. European Journal of Mechanics-B/Fluids. 2014 Feb 28;43:45-56.
[10] Rana P, Bhargava R. Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Communications in Nonlinear Science and Numerical Simulation. 2012 Jan 31;17(1):212-26.
[11] Yusoff NH, Uddin MJ, Ismail AI. Combined simil-arity-numerical solutions of MHD boundary layer slip flow of non-Newtonian power-law nanofluids over a radiating moving plate. Sains Malaysiana.2014 Jan 1;43(1):151-9.
[12] Abel S, Prasad KV,Mahaboob A.Buoyancy force and thermal radiation effects in MHD boundary layer visco-elastic fluid flow over continuously moving stretching surface. International Journal of Thermal Sciences. 2005 May 1;44(5):465-76.
[13] Virto SL, Gamez-Montero PJ. Thin liquid film entrainment by moving solids. Journal of Advanced Mechanical Design, Systems, and Manufacturing. 2015;9(3):JAMDSM0024-.
[14] Crane LJ. Flow past a stretching plate. Kurze Mitteilungen - Brief Reports - Communications breves. 1970; 21: 645-647.
[15] Gupta PS, Gupta AS. Heat and mass transfer on a stretching sheet with suction or blowing. The Canadian Journal of Chemical Engineering. 1977Dec 1;55(6):744-6.
[16] Dutta BK, Roy P, Gupta AS. Temperature field in flow over a stretching sheet with uniform heat flux.International Communications in Heat and Mass Transfer. 1985 Jan 1;12(1):89-94.
[17] Char MI. Heat transfer of a continuous, stretching surface with suction or blowing. Journal of Mathematical Analysis and Applications. 1988 Nov 1;135(2):568-80.
[18] Vajravelu K. Viscous flow over a nonlinearly stretching sheet. Applied mathematics and computation. 2001 Dec 15;124(3):281-8.
[19] Vajravelu K, Cannon JR. Fluid flow over a nonlinearly stretching sheet. Applied Mathematics and Computation. 2006 Oct 1;181(1):609-18.
[20] Cortell R. Viscous flow and heat transfer over a nonlinearly stretching sheet. Applied Mathematics and Computation. 2007 Jan 15;184(2):864-73.
[21] Prasad KV, Vajravelu K, Datti PS. Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties. International Journal of non-linear Mechanics. 2010 Apr 30;45(3):320-30.
[22] Postelnicu A, Pop I. Falkner–Skan boundary layer flow of a power-law fluid past a stretching wedge. Applied Mathematics and Computation. 2011 Jan1;217(9):4359-68.
[23] Vajravelu K, Prasad KV, Datti PS, Raju BT. MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface. Ain Shams Engineering Journal. 2014 Mar 31;5(1):157-67.
[24] Bachok N, Ishak A, Pop I. Boundary-layer flow of nanofluids over a moving surface in a flowing fluid.
International Journal of Thermal Sciences. 2010 Sep30;49(9):1663-8.
[25] Khan WA, Pop I. Boundary-layer flow of a nanofluid past a stretching sheet. International journal of heat and mass transfer. 2010 May 31;53(11):2477-83.
[26] Van Gorder RA, Sweet E, Vajravelu K. Nano bou -ndary layers over stretching surfaces. Communications in Nonlinear Science and Numerical Simulation. 2010 Jun 30;15(6):1494-500.
[27] Hassani M , Tabar MM, Nemati H, Domairry G, Noori F. An analytical solution for boundary layer flow of a nanofluid past a stretching sheet. International Journal of Thermal Sciences. 2011 Nov30;50(11):2256-63.
[28] Nadeem S, Haq RU, Khan ZH . Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet. Alexandria Engineering Journal.2014 Mar 31;53(1):219-24.
[29] Das K. Nanofluid flow over a non-linear permeable stretching sheet with partial slip. Journal of the Egyptian Mathematical Society. 2015 Jul 31;23(2):451-6.
[30] Khanafer K, Vafai K, Lightstone M. Buoyancy - driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. International journal of heat and mass transfer. 2003 Sep 30;46(19):3639-53.
[31] Buongiorno J. Convective transport in nanofluids.Journal of Heat Transfer. 2006 Mar 1;128(3):240-50.
[32] Kuznetsov AV, Nield DA. Natural convective boundary-layer flow of a nanofluid past a vertical plate.International Journal of Thermal Sciences. 2010 Feb28;49(2):243-7.
[33] Oztop HF, Abu-Nada E. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. International journal of heat and fluid flow. 2008 Oct 31;29(5):1326-36.
[34] Yazdi MH, Abdullah S, Hashim I, Sopian K. Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction.International Journal of Heat and Mass Transfer.2011 Jul 31;54(15):3214-25

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