Heat transfer analysis for Falkner–Skan boundary layer nanofluid flow past a wedge with convective boundary condition considering temperature-dependent viscosity
Restricted accessResearch articleFirst published online March, 2013
Heat transfer analysis for Falkner–Skan boundary layer nanofluid flow past a wedge with convective boundary condition considering temperature-dependent viscosity
This article presents the similarity solutions for the steady two-dimensional Falkner–Skan boundary layer flow of a nanofluid over wedge with convective boundary condition. The model used for the nanofluid is the one that incorporates the variable viscosity and nanoparticle volume fraction parameter. Numerical results for the dimensionless velocity and temperature as well as skin friction and Nusselt number are presented graphically for different values of the controlling parameters. Four different types of nanoparticles, namely, copper (Cu), alumina (Al2O3), titania (TiO2) and silver (Ag) as well as two different types of the base fluid, namely, water and ethylene glycol are considered. It is shown that the skin friction and dimensionless heat transfer rate increase with an increase in nanoparticle volume fraction, wedge, viscosity and convective parameters. Comparisons with the published results for the skin friction and Nusselt number are presented and found to be in good agreement.
CongedoPMColluraSCongedoPM. Modeling and analysis of natural convection heat transfer in nanofluids. In: Proceedings of ASME summer heat transfer conference, Jacksonville, FL, USA, 10–14 August 2008, vol. 3, pp.569–579. ASME, Heat Transfer Division.
2.
GhasemiBAminossadatiSM. Natural convection heat transfer in an inclined enclosure filled with a water-Cu nanofluid. Numer Heat Tr A: Appl2009; 55: 807–823.
3.
HamadMAAPopIIsmailAI. Magnetic field effects on free convection flow of a nanofluid past a semi-infinite vertical flat plate. Nonlinear Anal: Real2011; 12(3): 1338–1346.
4.
BuongiornoJ. Convective transport in nanofluids. J Heat Trans: T ASME2006; 128: 240–250.
5.
HamadMAAPopI. Scaling transformations for boundary layer stagnation-point flow towards a heated permeable stretching sheet in a porous medium saturated with a nanofluid and heat absorption/generation effects. Transport Porous Med2011; 7(1): 25–39.
6.
HamadMAA. Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field. Int Commun Heat Mass2011; 38(4).
7.
YacobNAIshakAPopI. Falkner–Skan problem for a static or moving wedge in nanofluids. Int J Therm Sci2011; 50: 133–139.
8.
KhanWAPopI. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Tran2010; 53: 2477–2483.
9.
Abu-NadaEChamkhaAJ. Effect of nanofluid variable properties on natural convection in enclosures filled with a CuO-EG-water nanofluid. Int J Therm Sci2010; 49: 2339–2352.
10.
DasSKChoiSUSYuW. Nanofluids: science and technology. Hoboken, NJ: Wiley, 2007.
11.
KakaçSPramuanjaroenkijA. Review of convective heat transfer enhancement with nanofluids. Int J Heat Mass Tran2009; 52: 3187–3196.
12.
FalknerVMSkanSW. Some approximate solutions of the boundary layer equations. Philos Mag1931; 12: 865–896.
13.
KuoBL. Heat transfer analysis for the Falkner–Skan wedge flow by the differential transformation method. Int J Heat Mass Tran2005; 48: 5036–5046.
14.
PantokratorasA. The Falkner–Skan flow with constant wall temperature and variable viscosity. Int J Therm Sci2006; 45: 378–389.
15.
AfzalN. Falkner–Skan equation for flow past a stretching surface with suction or blowing: analytical solutions. Appl Math Comput2010; 217: 2724–2736.
16.
PostelnicuAPopI. Falkner–Skan boundary layer flow of a power-law fluid past a stretching wedge. Appl Math Comput2011; 217: 4359–4368.
17.
AliME. The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface. Int J Therm Sci2006; 45: 60–69.
18.
JayanthiSKumariM. Effect of variable viscosity on non-Darcy free or mixed convection flow on a vertical surface in a non-Newtonian fluid saturated porous medium. Appl Math Comput2007; 186: 1643–1659.
19.
ChinKENazarRArifinNM. Effect of variable viscosity on mixed convection boundary layer flow over a vertical surface embedded in a porous medium. Int Commun Heat Mass2007; 34: 464–473.
20.
HayatTEllahiRAsgharS. The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: an analytical solution. Commun Nonlinear Sci2007; 12: 300–313.
21.
PalDMondalH. Influence of temperature-dependent viscosity and thermal radiation on MHD forced convection over a non-isothermal wedge. Appl Math Comput2008; 212: 194–208.
22.
PantokratorasA. Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity: a numerical reinvestigation. Int J Heat Mass Tran2008; 51: 104–110.
23.
Abu-NadaE. Effects of variable viscosity and thermal conductivity of Al2O3–water nanofluid on heat transfer enhancement in natural convection. Int J Heat Fluid Fl2009; 30: 679–690.
24.
AzizA. A similarity solution for laminar thermal boundary layer over flat plate with convective surface boundary condition. Commun Nonlinear Sci2009; 14: 1064–1068.
25.
YaoSFangTZhongY. Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions. Commun Nonlinear Sci2011; 16: 752–760.
26.
KhanWAGorlaRSR. Mixed convection of power-law fluids along a vertical wedge with convective boundary condition in a porous medium. J Mech Sci Technol2010; 24: 1919–1925.
27.
MakindeODAzizA. MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition. Int J Therm Sci2010; 49: 1813–1820.
28.
WatanabeT. Thermal boundary layers over a wedge with uniform suction or injection in forced flow. Acta Mech1990; 83: 119–126.
29.
YihKA. Uniform suction/blowing effect on forced convection about a wedge: uniform heat flux. Acta Mech1998; 128: 173–181.
