Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2750

Full Length Research Paper

Withdrawal and drainage of thin film flow on a vertical cylinder

A. M. Siddiqui1, M. Akram2,  K. N. Memon2*, S. Islam3 and Khalid khan4
1Pennsylvania State University, York Campus, Edgecombe 17403, USA. 2Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan. 3Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan. 4Department of Science and Information Technology Govt; KPK, Peshawar, Pakistan.
Email: [email protected]

  •  Accepted: 17 August 2012
  •  Published: 27 October 2012

Abstract

The thin film flow of a power law fluid on a vertical cylinder for a lift and a drainage problem is studied. The goverming nonlinear differential equations have been derived from the continuity, momentum and constitutive equations. The resulting equations are then solved using binomial series method. Series solutions have been obtained for velocity, volume flow rate and average velocity in both cases. The graphical results for velocity profile is discussed and examined for different parameters of interest.

 

Key words: Thin film flow, power law fluid, binomial series method.