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Vol. 1 Issue V, December 2013 ISSN: 2321-9653
INTERNATIONAL JOURNAL FOR RESEARCH IN AP PLIED SCIENCE AN D E N G I N E E R I N G T E C H N O L O G Y (I J R A S E T)
Mixed Convection in MHD Slip Flow of Alumina Water Nanofluid Over a Flat Plate Padam Singh#1, Manoj Kumar*2 #
Department of mathematics Statistics and Computer Science,
G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India - 263145
Abstract— Heat transfer in magnetohydrodynamic (MHD) slip flow of an incompressible, viscous, electrically conducting, mixed convective and steady alumina-water nanofluid over a flat plate has been analyzed. The governing equations are transformed into a set of simultaneous ordinary differential equations by using similarity transformation. The set of equations thus obtained has been solved using Adaptive Runge-Kutta method with shooting technique. The effects of magnetic parameter and heat source parameter on velocity and temperature distribution, shear stress and temperature gradient were depicted graphically and analyzed. Significant changes were observed in the heat transfer rate. Keywords— Magnetohydrodynamic, Heat source, Boundary layer slip, Volume fraction and Mixed convection. 2010 Mathematics Subject Classification: 74F10, 76W05, 76N20, 65M06, 76R99.
I. INTRODUCTION Wang et al. [4] were studied the mixed convective boundary layer flow of non- Newtonian fluids along vertical wavy plates. The authors found that Prandtl number and buoyancy parameters were seen to enhance the influence of plate surfaces on the local Nusselt number in Newtonian fluids or non-Newtonian fluids. Moreover, the irregular surfaces have higher total heat flux than that of corresponding flat plate for any fluid. Vadasz et al. [5] investigated the heat transfer enhancement in nanofluid suspensions. The results were shown excessive improvement in the thermal conductivity of the suspension. Molla and Yao [7] investigated mixed convective heat transfer of non-Newtonian fluid over a flat plate using a modified power law viscosity model. The results were obtained for a shear thinning fluid in terms of the velocity and temperature distribution, and for wall shear stress and heat transfer rates. Ahmad and Pop [8] studied the steady mixed convection boundary layer flow past a vertical flat plate embedded in a porous medium filled with nanofluids. The effects of various parameters on velocity
distribution were analyzed. Bachok et al. [9] were analyzed heat transfer characteristics of mixed convective flow over a permeable vertical flat plate embedded in an anisotropic fluid. They were found that dual solutions exist for both assisting and opposing flows. Mohammad et al. [10] studied the heat transfer of an alumina-water nanofluid flow inside a wide rectangular micro channel. Results show that the velocity and temperature difference between the phases is very small and negligible. The average Nusselt number increases as the Reynolds number and volume concentration increase and also with the decay in the nanoparticles size. Aladag et al. [11] made experimental investigation of the viscosity of nanofluids at low temperature. It has been found that carbon nano tube water based nanofluid behaves as Newtonian fluid at high shear rate whereas Alumina water based nanofluid is nonNewtonian. Hamed and Kasera [12] studied the variation iteration method solution for mixed convection over horizontal flat plate and analyzed various parameters numerically and graphically.
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