Heat and mass transfer in nanofluid thin film over an unsteady stretching sheet using Buongiorno’s model

Abstract.The heat and mass transport of a nanofluid thin film over an unsteady stretching sheet has been investigated. This is the first paper on nanofluid thin film flow caused by unsteady stretching sheet using Buongiorno’s model. The model used for the nanofluid film incorporates the effects of Brownian motion and thermophoresis. The self-similar non-linear ordinary differential equations are solved using Maple’s built-in BVP solver. The results for pure fluid are found to be in good agreement with the literature. Present analysis shows that free surface temperature and nanoparticle volume fraction increase with both unsteadiness and magnetic parameters. The results reveal that effect of both nanofluid parameters and viscous dissipation is to reduce the heat transfer rate.

[1]  Oluwole Daniel Makinde,et al.  Buoyancy effects on {MHD} stagnation point flow and heat transfer of a nanofluid past a convectively , 2013 .

[2]  M. A. A. Hamad,et al.  Scaling Transformations for Boundary Layer Flow near the Stagnation-Point on a Heated Permeable Stretching Surface in a Porous Medium Saturated with a Nanofluid and Heat Generation/Absorption Effects , 2011 .

[3]  H. Andersson,et al.  Heat transfer over a bidirectional stretching sheet with variable thermal conditions , 2008 .

[4]  Pushpanjali G. Metri,et al.  Fluid flow and radiative nonlinear heat transfer in a liquid film over an unsteady stretching sheet , 2012, 2016 7th International Conference on Mechanical and Aerospace Engineering (ICMAE).

[5]  Precious Sibanda,et al.  Laminar flow of a nanoliquid film over an unsteady stretching sheet , 2012 .

[6]  Chaoyang Wang Liquid film on an unsteady stretching surface , 1990 .

[7]  Stephen U. S. Choi Enhancing thermal conductivity of fluids with nano-particles , 1995 .

[8]  Helge I. Andersson,et al.  Heat transfer in a liquid film on an unsteady stretching sheet , 2008 .

[9]  R. Bhargava,et al.  Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study , 2012 .

[10]  Mohammad Ferdows,et al.  FINITE DIFFERENCE SOLUTION OF MHD RADIATIVE BOUNDARY LAYER FLOW OF A NANOFLUID PAST A STRETCHING SHEET , 2010 .

[11]  R. Kandasamy,et al.  Lie symmetry group transformation for MHD natural convection flow of nanofluid over linearly porous stretching sheet in presence of thermal stratification , 2012 .

[12]  S. Kakaç,et al.  Review of convective heat transfer enhancement with nanofluids , 2009 .

[13]  Chien-Hsin Chen,et al.  Effect of viscous dissipation on heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet , 2006 .

[14]  B. S. Dandapat,et al.  Heat transfer in a liquid film on an unsteady stretching surface , 2000 .

[15]  I. Pop,et al.  Flow and heat transfer in a nano-liquid film over an unsteady stretching surface , 2013 .

[16]  M. Subhas Abel,et al.  Heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation in presence of external magnetic field , 2009 .

[17]  J. Buongiorno Convective Transport in Nanofluids , 2006 .

[18]  R. Kandasamy,et al.  Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection , 2011 .

[19]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

[20]  B. S. Dandapat,et al.  Thermocapillarity in a liquid film on an unsteady stretching surface , 2003 .

[21]  Chien-Hsin Chen Heat transfer in a power-law fluid film over a unsteady stretching sheet , 2003 .

[22]  Mohammad Ferdows,et al.  Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: A Lie group analysis , 2012 .

[23]  Chien-Hsin Chen Magneto-hydrodynamic mixed convection of a power-law fluid past a stretching surface in the presence of thermal radiation and internal heat generation/absorption , 2009 .

[24]  Chun Wang Analytic solutions for a liquid film on an unsteady stretching surface , 2006 .

[25]  R. Cortell Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet , 2008 .