International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2537

Full Length Research Paper

Unsteady local non-similar boundary-layer flow over a long slim cylinder

Sufian Munawar1*, Ahmer Mehmood2 and Asif Ali1
  1Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan. 2Department of Mathematics (FBAS), International Islamic University, Islamabad Pakistan.
Email: [email protected]

  •  Accepted: 23 November 2011
  •  Published: 16 December 2011

Abstract

 

An investigation has been performed to study the analytic solution of the unsteady non-similar boundary-layer flow of a viscous fluid over a suddenly jerked long slender cylinder. Due to the transverse curvature of the cylinder and the free stream velocity of fluid, the considered flow phenomenon is understood to be non-similar. The non-linear partial differential equation is obtained by employing the appropriate set of dimensionless transformations. The governing non-linear PDE for unsteady non-similar boundary-layer flow is solved in the same manner like similarity boundary-layer flows by means of homotopy analysis method (HAM). The obtained series solution is uniformly valid and converges throughout the spatial domain  for all time. Finally, the important physical quantities, such as, frictional drag per unit length, displacement and momentum defect area are discussed graphically for small and large range of axial distance.

 

Key words: Unsteady boundary-layer, local non-similarity flow, moving cylinder, analytic solution.