Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate

Abstract In this paper, we discuss similarity reductions for problems of magnetic field effects on free convection flow of a nanofluid past a semi-infinite vertical flat plate. The application of a one-parameter group reduces the number of independent variables by 1, and consequently the governing partial differential equation with the auxiliary conditions to an ordinary differential equation with the appropriate corresponding conditions. The differential equations obtained are solved numerically and the effects of the parameters governing the problem are discussed. Different kinds of nanoparticles were tested.

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

[2]  Pietro Marco Congedo,et al.  Modeling And Analysis of Natural Convection Heat Transfer In Nanofluids , 2008 .

[3]  Ching-Jenq Ho,et al.  Numerical simulation of natural convection of nanofluid in a square enclosure: Effects due to uncertainties of viscosity and thermal conductivity , 2008 .

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

[5]  F. S. Ibrahim,et al.  Group method analysis of mixed convection boundary-layer flow of a micropolar fluid near a stagnation point on a horizontal cylinder , 2006 .

[6]  Saiied M. Aminossadati,et al.  Natural Convection Heat Transfer in an Inclined Enclosure Filled with a Water-Cuo Nanofluid , 2009 .

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

[8]  G. Nath,et al.  Analytical solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface , 2009 .

[9]  A. Mujumdar,et al.  Heat transfer characteristics of nanofluids: a review , 2007 .

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

[11]  A. J. A. Morgan,et al.  THE REDUCTION BY ONE OF THE NUMBER OF INDEPENDENT VARIABLES IN SOME SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS , 1952 .

[12]  A. Mujumdar,et al.  A review on nanofluids - part I: theoretical and numerical investigations , 2008 .

[13]  M. J. Moran,et al.  Similarity analyses via group theory. , 1968 .

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

[15]  S. Ghosh,et al.  NONSIMILAR, LAMINAR, STEADY, ELECTRICALLY-CONDUCTING FORCED CONVECTION LIQUID METAL BOUNDARY LAYER FLOW WITH INDUCED MAGNETIC FIELD EFFECTS , 2009 .

[16]  M. Ece Free convection flow about a cone under mixed thermal boundary conditions and a magnetic field , 2005 .

[17]  I. Pop,et al.  Transition of MHD boundary layer flow past a stretching sheet , 2010 .

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

[19]  Arun S. Mujumdar,et al.  A review on nanofluids - part II: experiments and applications , 2008 .

[20]  Ching-Jenq Ho,et al.  Effect on Natural Convection Heat Transfer of Nanofluid in an Enclosure Due to Uncertainties of Viscosity and Thermal Conductivity , 2007 .

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

[22]  I. A. Hassanien,et al.  Group theoretic method for unsteady free convection flow of a micropolar fluid along a vertical plate in a thermally stratified medium , 2008 .

[23]  P. S. Datti,et al.  Hydromagnetic flow and heat transfer of a non-Newtonian power law fluid over a vertical stretching sheet , 2010 .

[24]  M. J. Moran,et al.  Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions , 1968 .

[25]  W. Rose Mathematics for engineers , 2010 .

[26]  Garrett Birkhoff,et al.  Mathematics for engineers — III: Dimensional analysis of partial differential equations , 1948, Electrical Engineering.

[27]  Saiied M. Aminossadati,et al.  Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure , 2009 .