Abstract
An analysis is performed to study unsteady free convective boundary layer flow of a nanofluid over a vertical cylinder. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme of the Crank-Nicolson type. The solutions at each time step have been found to reach the steady state solution properly. Numerical results for the steady-state velocity, temperature and nanoparticles volume fraction profiles as well as the axial distributions and the time histories of the skin-friction coefficient, Nusselt number and the Sherwood number are presented graphically and discussed.
Similar content being viewed by others
References
Sparrow EM, Gregg JL (1956) Laminar free convection heat transfer from the outer surface of a vertical circular cylinder. Trans ASME 78:1823–1830
Chen TS, Yuh CF (1980) Combined heat and mass transfer in natural convection along a vertical cylinder. Int J Heat Mass Transf 23:451–461
Lee HR, Chen TS, Armaly BF (1988) Natural convection along slender vertical cylinders with variable surface temperature. J Heat Transf 100:103–108
Velusamy K, Garg VK (1992) Transient natural convection over a heat generating vertical cylinder. Int J Heat Mass Transf 35:1293–1306
Ganesan P, Rani HP (1999) Unsteady free convection on a vertical cylinder with variable heat and mass flux. Heat Mass Transf 35:259–265
Rani HP (2003) Transient natural convection along a vertical cylinder with variable surface temperature and mass diffusion. Heat Mass Transf 40:67–73
Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticle. In: Siginer DA, Wang HP (eds) Developments and applications of non-Newtonian flows. ASME FED, vol 231 (MD 66), pp 99–105
Duangthongsuk W, Wongwises S (2008) Effect of thermophysical properties models on the predicting of the convective heat transfer coefficient for low concentration nanofluid. Int Commun Heat Mass Transf 35:1320–1326
Abu-Nada E, Oztop HF (2009) Effects of inclination angle on natural convection in enclosures filled with Cu-water nanofluid. Int J Heat Fluid Flow 30:669–678
Nield DA, Kuznetsov AV (2009) The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Transf 52:5792–5795
Chamkha AJ, Aly AM, Al-Mudhaf H (2010) Laminar MHD mixed convection flow of a nanofluid along a stretching permeable surface in the presence of heat generation or absorption effects. Int J Microscale Nanoscale Therm Fluid Transp Phenom (in press)
Chamkha AJ, Gorla RSR, Ghodeswar K (2010) Non-similar solution for natural convective boundary layer flow over a sphere embedded in a porous medium saturated with a nanofluid. Transp Porous Media 86:13–22
Gorla RSR, EL-Kabeir SMM, Rashad AM (2011) Heat transfer in the boundary layer on a stretching circular cylinder in a nanofluid. J Thermophys Heat Transf 25:183–186
Gorla RSR, Chamkha AJ, Rashad AM (2011) Mixed convective boundary layer flow over a vertical wedge embedded in a porous medium saturated with a nanofluid. J Nanoscale Res Lett 6:207
Rashad AM, EL-Hakiem MA, Abdou MMM (2011) Natural convection boundary layer of a non-Newtonian fluid about a permeable vertical cone embedded in a porous medium saturated with a nanofluid. Comput Math Appl 62:3140–3151
Chamkha AJ, Abbasbandy S, Rashad AM, Vajravelu K (2012) Radiation effects on mixed convection over a wedge embedded in a porous medium filled with a nanofluid. Transp Porous Media 91:261–279. doi:10.1007/s11242-011-9843-5
Chamkha AJ, Rashad AM, Al-Meshaiei E (2011) Melting effect on unsteady hydromagnetic flow of a nanofluid past a stretching sheet. Int J Chem React Eng 9:1–23
Ganesan P, Rani HP (2000) Transient natural convection flow over vertical cylinder with variable surface temperatures. Forschung im Ingenieurwesen 66:11–16
Chamkha AJ, Aly AM, Mansour MA (2010) Unsteady natural convective Power-law fluid flow past a vertical plate embedded in a non-Darcian porous medium in the presence of a homogeneous chemical reaction. 15: 139–154
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chamkha, A.J., Rashad, A.M. & Aly, A.M. Transient natural convection flow of a nanofluid over a vertical cylinder. Meccanica 48, 71–81 (2013). https://doi.org/10.1007/s11012-012-9584-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11012-012-9584-8