International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

An investigation of porosity and magnetohydrodynamic flow of non-Newtonian nanofluid in coaxial cylinders

A. Zeeshan1, R. Ellahi1,2*, A. M. Siddiqui3  and H. U. Rahman4
1Department of Mathematics and Statistics, FBAS, IIU, Islamabad, 44000, Pakistan. 2Department of Mechanical Engineering, University of California Riverside, USA. 3Department of Mathematics, Pennsylvania State University, York Campus, USA. 4Department of Physics and Astronomy, University of California Irvine, USA.
Email: [email protected]

  •  Accepted: 31 January 2012
  •  Published: 23 February 2012

Abstract

The magnetohydrodynamic (MHD) flow of third grade nanofluid between coaxial porous cylinders was investigated in this work. Two types of series solutions were presented for constant and variable viscosity. The resulting nonlinear coupled equations were solved by employing homotopy analysis method (HAM). The convergence of the series solutions has been discussed explicitly. The recurrence formulae for finding the coefficients were also given. Comparison with the existing studies was made and the role of pertinent parameters was graphically illustrated at the end.

 

Key words: Non-Newtonian nanofluid, porous media, magnetohydrodynamic (MHD) flow, heat transfer, nonlinear equations, series solutions.