NANOFLUID FLOW ON A VERTICAL CYLINDER UNDER THE EFFECT OF MAGNETOHYDRODYNAMICS
Abstract
The present work is a numerical investigation of the effect of laminar natural convection flow of nano fluid taking Cu nano particles and the water as based fluid on a vertical cylinder in presence of magnetohydrodynamics. The governing equations which used are continuity, momentum and energy equations. These equations are transformed to dimensionless equations using vorticity-stream function method and the resulting nonlinear system of partial differential equations are then solved numerically using finite difference approximation. A thermal boundary condition of a constant wall temperature is considered. A computer program was built to calculate the rate of heat transfer in terms of average Nusselt number, velocity distribution as well as temperature distribution for magnetohydrodynamics range of and the volume fraction . Numerical solution have been considered for a fluid Prandtl number fixed at (Pr = 6.2), Rayleigh number . The results show that Nu increase with increasing Ral and M and increased with the particle volume fraction up to φ = 0.15 then decreased due to viscosity and agglomeration effect. The effect of Rayleigh number and magnetohydrodynamics on the rate of heat transfer is concluded by a correlation equation.
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[2] Mohammad Sadegh Valipour , Ariyan Zare Ghadi " Numerical investigation of fluid flow and heat transfer around a solid circular cylinder utilizing nanofluid", International Communications in Heat and Mass Transfer 38 (2011) 1296–1304.
[3] T. Grosan , I. Pop," Axisymmetric mixed convection boundary layer flow past a vertical cylinder in a nanofluid", International Journal of Heat and Mass Transfer 54 (2011) 3139–3145.
[4] R. Nazar · L. Tham · I. Pop · D. B. Ingham," Mixed Convection Boundary Layer Flow from a Horizontal Circular Cylinder Embedded in a Porous Medium Filled with a Nanofluid", Transp Porous Med (2011) 86:517–536.
[5] M. Sheikholeslami , M. Gorji-Bandpay, D.D. Ganji," Magnetic field effects on natural convection around a horizontal circular cylinder inside a square enclosure filled with nanofluid", International Communications in Heat and Mass Transfer 39 (2012) 978–986.
[6] Mina Shahi, Amir Houshang Mahmoudi , Farhad Talebi," A numerical investigation of conjugated-natural convection heat transfer enhancement of a nanofluid in an annular tube driven by inner heat generating solid cylinder", International Communications in Heat and Mass Transfer 38 (2011) 533–542.
[7] Akbrinia A., Behzadmehr A.;" Numerical Study of Laminar Mixed Convection of a Nanofluid in Horizontal Curved Tubes", Applied Thermal Eng., vol. 27,2007, pp. 1327-1337.
[8] Eiyad A.N," Application of Nanofluids for Heat Transfer Enhancement of Separated Flows Encountered in a Backward Facing Step", Int. Journal of Heat and Fluid Flow, vol. 29, 2008, pp. 242-249.
[9] Khanafer K., Vafai K., and Lightstone M., " Bouyancy-driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nanofluids", Int. Journal
Heat Mass Transfer, vol. 46, 2003, pp. 3639-3653.
[10] Herman Branover, 1978"Magneto hydrodynamic Flow in Ducts" The MIT Cambridge, Massachusetts, and London, England.
[11] Patanker, S. V., 1980 “Numerical Heat Transfer and Fluid Flow”, Series in Computational Methods, McGraw-Hill, 1st Edition.
[12] Schwab, T. H., and De Witt, K. J., 1970 “Numerical Investigation of Free Convection between Two Vertical Coaxial Cylinders”, AICHE J., Vol. 16, PP.1005-1010.
[13] Israa Y. Daood, "Effects of Nano-Fluids Types, Volume Fraction of Nano-Particles, and Aspect Ratios on Natural Convection Heat Transfer in Right- Angle Triangular Enclosure", Eng. And Tech. Journal, vol. 28, No. 16, 2010, pp. 5365-5388.
