Nanofluid flow over an unsteady stretching surface in presence of thermal radiation

Abstract This paper investigates the unsteady boundary layer flow of a nanofluid over a heated stretching sheet with thermal radiation. The transport model employed includes the effects of Brownian motion and thermophoresis. The unsteadiness in the flow field is caused by the time-dependence of the stretching velocity, free stream velocity and the surface temperature. The unsteady boundary layer equations are transformed to a system of non-linear ordinary differential equations and solved numerically using a shooting method together with Runge–Kutta–Fehlberg scheme. The clear liquid results from this study are in agreement with the results reported in the literature. It is found that the heat transfer rate at the surface increases in the presence of Brownian motion but reverse effect occurs for thermophoresis.

[1]  Wenhua Yu,et al.  Nanofluids: Science and Technology , 2007 .

[2]  L. Crane.  Flow past a stretching plate , 1970 .

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

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

[5]  I. Pop,et al.  Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium , 2010 .

[6]  Mohamed Abd El-Aziz,et al.  Flow and heat transfer over an unsteady stretching surface with Hall effect , 2010 .

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

[8]  Donald A. Nield,et al.  Natural convective boundary-layer flow of a nanofluid past a vertical plate , 2010 .

[9]  M. A. A. Bazid,et al.  Heat transfer over an unsteady stretching surface , 2004 .

[10]  Ranganathan Kumar,et al.  Surface effects of ribbon heaters on critical heat flux in nanofluid pool boiling , 2013 .

[11]  K. Das.  Nanofluid flow over a shrinking sheet with surface slip , 2014 .

[12]  William W. Yu,et al.  ANOMALOUSLY INCREASED EFFECTIVE THERMAL CONDUCTIVITIES OF ETHYLENE GLYCOL-BASED NANOFLUIDS CONTAINING COPPER NANOPARTICLES , 2001 .

[13]  Sohail Nadeem,et al.  Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet , 2014 .

[14]  Ali J. Chamkha,et al.  Non-similar Solution for Natural Convective Boundary Layer Flow Over a Sphere Embedded in a Porous Medium Saturated with a Nanofluid , 2011 .

[15]  K. Das.  Impact of thermal radiation on MHD slip flow over a flat plate with variable fluid properties , 2012 .

[16]  Somchai Wongwises,et al.  Enhancement of heat transfer using nanofluids—An overview , 2010 .

[17]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface , 1961 .

[18]  G. C. Shit,et al.  Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet , 2011 .

[19]  Eugen Magyari,et al.  Generalized Crane flow induced by continuous surfaces stretching with arbitrary velocities , 2010 .

[20]  B. K. Dutta,et al.  Temperature field in flow over a stretching sheet with uniform heat flux , 1985 .

[21]  Azizah Mohd Rohni,et al.  Unsteady mixed convection boundary-layer flow with suction and temperature slip effects near the stagnation point on a vertical permeable surface embedded in a porous medium , 2012, Transport in Porous Media.

[22]  Cha'o-Kuang Chen,et al.  Heat transfer of a continuous, stretching surface with suction or blowing , 1988 .

[23]  Robert A. Van Gorder,et al.  Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces , 2011 .

[24]  Dulal Pal,et al.  Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface , 2011 .

[25]  Oluwole Daniel Makinde,et al.  Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate , 2005 .

[26]  T. Ray Mahapatra,et al.  Heat transfer in stagnation-point flow towards a stretching sheet , 2002 .

[27]  I. Pop,et al.  Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet , 2006 .

[28]  A. Raptis,et al.  Radiation and free convection flow through a porous medium , 1998 .

[29]  K. Das.  Lie group analysis of stagnation-point flow of a nanofluid , 2013 .