Chin. Phys. B, 2014, Vol. 23(4): 044402    DOI: 10.1088/1674-1056/23/4/044402
 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next

# Hydromagnetic flow of a Cu–water nanofluid past a moving wedge with viscous dissipation

A. M. Salema b, Galal Ismailc, Rania Fathyc
a Department of Mathematics, Faculty of Science and Arts, Qassim University, Al-Muznib, Saudi Arabia;
b Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Egypt;
c Department of Mathematics, Faculty of Science, Zagazig University, Egypt
Abstract  A numerical study is performed to investigate the flow and heat transfer at the surface of a permeable wedge immersed in a copper (Cu)-water-based nanofluid in the presence of magnetic field and viscous dissipation using a nanofluid model proposed by Tiwari and Das (Tiwari I K and Das M K 2007 Int. J. Heat Mass Transfer 50 2002). A similarity solution for the transformed governing equation is obtained, and those equations are solved by employing a numerical shooting technique with a fourth-order Runge-Kutta integration scheme. A comparison with previously published work is carried out and shows that they are in good agreement with each other. The effects of velocity ratio parameter <λ, solid volume fraction ø, magnetic field M, viscous dissipation Ec, and suction parameter Fw on the fluid flow and heat transfer characteristics are discussed. The unique and dual solutions for self-similar equations of the flow and heat transfer are analyzed numerically. Moreover, the range of the velocity ratio parameter for which the solution exists increases in the presence of magnetic field and suction parameter.
Keywords:  nanofluid      dual solution      magnetic field      viscous dissipation
Received:  03 June 2013      Revised:  18 July 2013      Accepted manuscript online:
 PACS: 44.20.+b (Boundary layer heat flow) 44.30.+v (Heat flow in porous media) 47.65.-d (Magnetohydrodynamics and electrohydrodynamics) 47.61.-k (Micro- and nano- scale flow phenomena)
Corresponding Authors:  A. M. Salem     E-mail:  azizsalem32@hotmail.com
About author:  44.20.+b; 44.30.+v; 47.65.-d; 47.61.-k