African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 262

Full Length Research Paper

A novel analytical solution of steady flow over a rotating disk in porous medium with heat transfer by DTM-PADÉ

Mohammad Mehdi Rashidi* and Seied Amin Mohimanian Pour
Department of Mechanical Engineering, Faculty of Engineering, University of Bu-Ali Sina, Hamedan, Iran.
Email: [email protected]

  •  Accepted: 21 April 2010
  •  Published: 30 June 2010

Abstract

In this study, the differential transform method (DTM) was applied to steady flow over a rotating disk in porous medium with heat transfer. The governing equations can be written as a system of nonlinear ordinary differential equations. The approximate solutions of these equations were obtained in the form of series with easily computable terms. Then, Padé approximant was applied to increase the convergence radius of the series. The results obtained in this study were compared with the numerical results (fourth-order Runge-Kutta method).

 

Key words: Padé approximant, differential transform method, rotating disk, porous medium.