FINITE DIFFERENCE SOLUTION OF MHD RADIATIVE BOUNDARY LAYER FLOW OF A NANOFLUID PAST A STRETCHING SHEET

Unsteady heat and mass flow of a nanofluid past a stretching sheet with thermal radiation in the presence of magnetic field is studied. To obtain non-similar equation, continuity, momentum, energy and concentration equations have been non-dimensionalised by usual transformation. The non-similar solutions are presented here which depends on the Magnetic parameter M respectively . The obtained equations have been solved by explicit finite difference method. The temperature and concentration profiles are discussed for the different values of the above parameters with different time steps.

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

[2]  Eugen Magyari,et al.  Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls , 2000 .

[3]  J. Vleggaar.  Laminar boundary-layer behaviour on continuous, accelerating surfaces , 1977 .

[4]  S. Venkateswaran,et al.  Three-Dimensional Unsteady Flow With Heat and Mass Transfer Over a Continuous Stretching Surface , 1988 .

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

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

[7]  C. Y. Wang,et al.  Free convection on a vertical stretching surface , 1989 .

[8]  Ali J. Chamkha,et al.  Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface , 2001 .

[9]  Ephraim M Sparrow,et al.  Friction drag resulting from the simultaneous imposed motions of a freestream and its bounding surface , 2005 .

[10]  D. Tzou.  Thermal instability of nanofluids in natural convection , 2008 .

[11]  W. Rohsenow,et al.  Handbook of Heat Transfer , 1998 .

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

[13]  H. Kang,et al.  Estimation of Thermal Conductivity of Nanofluid Using Experimental Effective Particle Volume , 2006 .

[14]  E. Abu-Nada.  Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step , 2008 .

[15]  W. Minkowycz,et al.  Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike , 1977 .

[16]  C. Choi,et al.  Analysis of convective instability and heat transfer characteristics of nanofluids , 2004 .

[17]  Rama Subba Reddy Gorla,et al.  Free convection on a vertical stretching surface with suction and blowing , 1994 .

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

[19]  Chao-Yang Wang,et al.  The three‐dimensional flow due to a stretching flat surface , 1984 .

[20]  Donald A. Nield,et al.  The Cheng–Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid , 2009 .

[21]  K. Khanafer,et al.  BUOYANCY-DRIVEN HEAT TRANSFER ENHANCEMENT IN A TWO-DIMENSIONAL ENCLOSURE UTILIZING NANOFLUIDS , 2003 .

[22]  Helge I. Andersson,et al.  Magnetohydrodynamic flow of a power-law fluid over a stretching sheet , 1992 .

[23]  Abdul Aziz,et al.  Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition , 2011 .

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

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

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

[27]  Ephraim M Sparrow,et al.  Universal solutions for the streamwise variation of the temperature of a moving sheet in the presence of a moving fluid , 2005 .

[28]  H. A. Luther,et al.  Applied numerical methods , 1969 .

[29]  E. Grulke,et al.  Anomalous thermal conductivity enhancement in nanotube suspensions , 2001 .

[30]  Ioan Pop,et al.  Unsteady flow past a stretching sheet , 1996 .

[31]  N. Galanis,et al.  Heat transfer enhancement by using nanofluids in forced convection flows , 2005 .

[32]  Phool Singh,et al.  Effects of Thermal Radiation and Magnetic Field on Unsteady Stretching Permeable Sheet in Presence of Free Stream Velocity , 2010 .