In this paper a study of the boundary layer flow and heat transfer of a nanofluid over a vertical slender cylinder is presented. The governing equations of motion, energy and nanoparticles are simplified by applying appropriate boundary layer approximations and then the system is converted to a nondimensional one by using suitable similarity transformations. The resulting system of three nondimensional coupled ordinary differential equations is solved by using the homotopy analysis method. At the end the physical behavior of the different parameters involved in these equations are discussed and presented graphically.
ChoiUS. Enhancing thermal conductivity of fluids with nanoparticles. In: SiginerDAWangHP (eds) Developments and applications of non-Newtonian flows. New York: ASME, 1995, FED-Vol. 231/MD-Vol-66, pp. 99–105.
2.
VadaszJJGovenderSVadaszP. Heat transfer enhancement in nano-fluids suspensions: Possible mechanisms and explanations. Int J Heat Mass Transfer2005; 48: 2673–2683.
3.
KarthikeyanNRPhilipJRajB. Effect of clustering on the thermal conductivity of nanofluids. Mater Chem Phys. 2008; 109: 50–55.
4.
KuznetsovAVNieldDA. Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci2010; 49: 243–247.
KeblinskiPPhillpotSRChoiSUS. Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids). Int J Heat Mass Transfer2002; 45: 855–863.
8.
LeeJHHwangKSJangSP. Effective viscosities and thermal conductivities of aqueous nanofluids containing low volume concentrations of Al2O3 nanoparticles. Int J Heat Mass Transfer2008; 51: 2651–2656.
9.
LeeSChoiSUSLiS. Measuring thermal conductivity of fluids containing oxide nano-particles. Trans ASME, J Heat Transfer1999; 121: 280–289.
10.
KhanaferKVafaiKLightstoneM. Buoyancy driven heat transfer enhancement in a two-dimensional enclosure utilizing nano-fluids. Int J Heat Mass Transfer2003; 46: 3639–3653.
11.
BrinkmanHC. The viscosity of concentrated suspensions and solution. J Chem Phys1952; 20: 571–581.
12.
HossainMAVafaiKKhanaferKMN. Non-Darcy natural convection heat and mass transfer along a vertical permeable cylinder embedded in a porous medium. Int J Therm Sci1999; 38: 854–862.
13.
NaTYPopI. Flow and heat transfer over a longitudinal circular cylinder moving in parallel or reversely to a free stream. Acta Mech1996; 118: 185–195.
14.
PopINaTY. Conjugate free convection over a verticle slender hollow cylinder embedded in a porous medium. Heat Mass Transfer2003; 36: 375–379.
15.
NadeemSRehmanALeeC. Boundary layer flow of second grade fluid in a cylinder with heat transfer. Math Problems Engng2012; 640289, p.13.
16.
KayaA. Effects of buoyancy and conjugate heat transfer on non-Darcy mixed convection about a vertical slender hollow cylinder embedded in a porous medium with high porosity. DOI: 10.1016/j.ijheatmasstransfer.2010.10.021.
17.
IshakANazarRPopI. The effects of transpiration on the boundary layer flowand heat transfer over a vertical slender cylinder. Int J Non-Linear Mech2007; 42: 1010–1017.
18.
LiaoSJ. Beyond perturbation: introduction to the homotopy analysis method. Boca Raton: Chapman & Hall/CRC Press, 2003.
19.
NadeemSRehmanAVajraveluK. Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder. Maths Problems Engng2012; 378259, p.18.
20.
NadeemSSher AkbarN. Influence of heat and mass transfer on the peristaltic flow of a Johnson Segalman fluid in a vertical asymmetric channel with induced MHD. DOI: 10.1016/j.jtice.2010.03.006.
21.
LiaoSJ. A kind of approximate solution technique which does not depend upon small parameters - II. An application in fluid mechanics. Int J Non-Linear Mech1997; 32: 815–822.
22.
LiaoSJ. On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves. Commun Nonlinear Sci Numer Simul2011; 16: 1274–1303.
23.
AlomariAKNooraniMSMNazarR. Homotopy analysis method for solving fractional Lorenz system. Commun. Nonlinear Sci Numer Simul2010; 15: 1864–1872.
24.
NadeemSSher AkbarN. Influence of heat transfer on a peristaltic flow of Johnson Segalman fluid in a non-uniform tube. Int Commun Heat Mass Transfer2009; 36: 1050–1059.
25.
AlomariAKNooraniMSMNazarR. Explicit series solutions of some linear and nonlinear Schrodinger equations via the homotopy analysis method. Commun Nonlinear Sci Numer Simul2009; 14: 1196–1207.
