Hydromagnetic nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction effects

Abstract We investigate the convective heat and mass transfer in nanofluid flow over a stretching sheet subject to hydromagnetic, viscous dissipation, chemical reaction and Soret effects. Two types of nanofluids, namely Cu–water and Ag–water were studied. A similarity transformation was used to obtain a system of non-linear ordinary differential equations, which was then solved numerically using the Matlab “ bvp4c ” function. Numerical results were obtained for the skin friction coefficient, Nusselt number, Sherwood number as well as for the velocity, temperature and concentration profiles for selected values of the governing parameters, such as the nanoparticle volume fraction ϕ , the magnetic parameter M. For a fixed Prandtl number Pr = 6.2 (corresponding to water) and different values of the magnetic field parameter and the nanoparticle volume fraction, we have shown that a good agreement exists between the present results and those in the literature. It was shown that the Cu–water nanofluid exhibits higher wall heat and mass transfer rates as compared to a Ag–water nanofluid. The influence of a magnetic field is to reduce both wall heat and mass transfer rates.

[1]  M. Aziz,et al.  Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption , 2004 .

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

[3]  Tiegang Fang,et al.  Closed-form exact solutions of MHD viscous flow over a shrinking sheet , 2009 .

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

[5]  Joseph C. Mollendorf,et al.  Viscous dissipation in external natural convection flows , 1969, Journal of Fluid Mechanics.

[6]  B. Gebhart,et al.  Effects of viscous dissipation in natural convection , 1962, Journal of Fluid Mechanics.

[7]  Shanshan Yao,et al.  Slip MHD viscous flow over a stretching sheet - An exact solution , 2009 .

[8]  Helge I. Andersson,et al.  An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow , 1995 .

[9]  S. Yao,et al.  Slip Magnetohydrodynamic Viscous Flow over a Permeable Shrinking Sheet , 2010 .

[10]  A. Postelnicu,et al.  Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects , 2007 .

[11]  V. G. Fox,et al.  Heat and Mass Transfer on Moving Continuous Flat Plate with Suction or Injection , 1966 .

[12]  O. Bég,et al.  Numerical study of free convection magnetohydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects , 2009 .

[13]  K. Prasad,et al.  The effect of variable viscosity on MHD viscoelastic fluid flow and heat transfer over a stretching sheet , 2010 .

[14]  J. Garnett,et al.  Colours in Metal Glasses and in Metallic Films , 1904 .

[15]  H. Oztop,et al.  Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids , 2008 .

[16]  S. M. AbdEl-Gaied,et al.  Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet , 2012, Nanoscale Research Letters.

[17]  H. Masuda,et al.  ALTERATION OF THERMAL CONDUCTIVITY AND VISCOSITY OF LIQUID BY DISPERSING ULTRA-FINE PARTICLES. DISPERSION OF AL2O3, SIO2 AND TIO2 ULTRA-FINE PARTICLES , 1993 .

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

[19]  Javad Alinejad,et al.  Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation , 2012, J. Appl. Math..

[20]  Kuppalapalle Vajravelu,et al.  Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation , 1993 .

[21]  C. Guérin,et al.  Effective-medium theory for finite-size aggregates. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  M. Subhas Abel,et al.  Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations , 2008 .

[23]  C.-H. Chen,et al.  Laminar mixed convection adjacent to vertical, continuously stretching sheets , 1998 .

[24]  I. Pop,et al.  MHD flow and heat transfer over stretching/shrinking sheets with external magnetic field, viscous dissipation and Joule effects , 2012 .

[25]  A. Afify Similarity solution in MHD: Effects of thermal diffusion and diffusion thermo on free convective heat and mass transfer over a stretching surface considering suction or injection , 2009 .

[26]  A. Afify MHD free convective flow and mass transfer over a stretching sheet with chemical reaction , 2004 .

[27]  R. Tiwari,et al.  HEAT TRANSFER AUGMENTATION IN A TWO-SIDED LID-DRIVEN DIFFERENTIALLY HEATED SQUARE CAVITY UTILIZING NANOFLUIDS , 2007 .

[28]  M. A. A. Hamad,et al.  Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field , 2011 .

[29]  H. Brinkman The Viscosity of Concentrated Suspensions and Solutions , 1952 .

[30]  Ali J. Chamkha MHD FLOW OF A UNIFORMLY STRETCHED VERTICAL PERMEABLE SURFACE IN THE PRESENCE OF HEAT GENERATION/ABSORPTION AND A CHEMICAL REACTION , 2003 .

[31]  Mukund V. Karwe,et al.  Fluid Flow and Mixed Convection Transport From a Moving Plate in Rolling and Extrusion Processes , 1988 .

[32]  T. Chen,et al.  Mixed Convection on Inclined Surfaces , 1979 .

[33]  R. J. Goldstein,et al.  Flow and heat transfer in the boundary layer on a continuous moving surface , 1967 .

[34]  Tiegang Fang,et al.  Boundary layer flow over a shrinking sheet with power-law velocity , 2008 .

[35]  M. A. El-aziz Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer by hydromagnetic three-dimensional free convection over a permeable stretching surface with radiation , 2008 .

[36]  M. Thiyagarajan,et al.  Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature , 2006 .

[37]  Ioan Pop,et al.  Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate , 2011 .

[38]  L. J. Grubka,et al.  Heat Transfer Characteristics of a Continuous, Stretching Surface With Variable Temperature , 1985 .

[39]  M. A. El-aziz,et al.  Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption , 2008 .