A boundary layer analysis is presented for the warm, laminar nanoliquid flow to a melting vertical plate surface in a moving non-Newtonian nanoliquid. We consider the natural convection boundary layer regime. Using the appropriate variables, the basic equations are transformed to non-similar form. These equations are solved numerically, employing the implicit finite difference method together with Keller box scheme. The rates of heat and mass transfer and the surface shear stress are presented graphically for parametric variations in the melting parameter M, buoyancy ratio parameter Nr, Brownian motion parameter Nb, thermophoresis parameter Nt, Lewis number Le and the power law exponent n.
HuangCLShihYP. Perturbation solution for planar solidification of a saturated liquid with convection at the wall. Int J Heat Mass Tran1975; 18: 1481–1483.
2.
PedrosoRIDomotoGA. Perturbation solutions for spherical solidification of saturated liquids. J Heat Trans: T ASME1973; 95: 42–46.
3.
EpsteinM. The effect of melting on heat transfer to submerged bodies. Lett Heat Mass Trans1975; 2: 97–104.
4.
EpsteinMChoDH. Melting heat transfer in steady laminar flow over a flat plate. J Heat Trans: T ASME1976; 98: 531–533.
5.
IshakANazarRBachokN. Melting heat transfer in steady laminar flow over a moving surface. Heat Mass Transfer2010; 46: 463–468.
6.
BachokNIshakAPopI. Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet. Phys Lett A2010; 374: 4075–4079.
7.
YacobNAIshakAPopI. Melting heat transfer in boundary layer stagnation point flow towards a stretching/shrinking sheet in a micropolar fluid. Comput Fluids2011; 47: 16–21.
GorlaRSRKumariM. Free convection along a vertical wavy surface in a nanofluid. Proc IMechE, Part N: J Nanoengineering and Nanosystems2011; 225: 133–142.
11.
GorlaRSRKumariM. Mixed convective boundary layer flow over a vertical wedge embedded in a porous medium saturated with a nanofluid: entire regime. Proc IMechE, Part N: J Nanoengineering and Nanosystems2011; 225: 55–66.
12.
GireeshaBJMahantheshBGorlaRSR. Suspended particle effect on nanofluid boundary layer flow past a stretching surface. J Nanofluids2014; 3: 267–277.
13.
El-DawyHAMohammadeinAAGorlaRSR. Mixed convection in a nanofluid past a vertical plate in a saturated porous medium. J Nanofluids2014; 3: 117–12074.
14.
GorlaRSRKumariM. Combined convection on a vertical cylinder in a non-Newtonian nanofluid. J Nanofluids2013; 2: 157–164.
15.
GorlaRSRChamkhaA. Free convection past a vertical plate embedded in a porous medium saturated with a non-Newtonian nanofluid. J Nanofluids2013; 2: 297–302.
16.
KellerHB. Numerical methods in boundary layer theory. Annu Rev Fluid Mech1978; 10: 417–433.
17.
CebeciTBradshawP. Physical and computational aspects of convective heat transfer. New York: Springer, 1984.
18.
PlumbOAHuenefeldJC. Non-Darcy natural convection from heated surfaces in saturated porous media. Int J Heat Mass Tran1981; 24: 765–768.
19.
GorlaRSRChamkhaA. Natural convective boundary layer flow over a vertical plate embedded in a porous medium saturated with a non-Newtonian nanofluid. Int J Microsc Nanosc Therm Fluid Transp Phenom2012; 3(2): 131–150.
