Stagnation flow of a Jeffrey fluid over a shrinking sheet

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Abstract

The present paper describes the analytical solutions for the steady boundary layer flow of a Jeffrey fluid over a shrinking sheet. The governing equations of motions are reduced into a set of nonlinear ordinary differential equations by using similarity transformations. Two types of problems, namely, (1) two-dimensional stagnation flow towards a shrinking sheet and (2) axisymmetric stagnation flow towards an axisymmetric shrinking sheet, have been discussed. The series solutions of the problems are obtained by using the homotopy analysis method (HAM). The convergence of the obtained series solutions are analyzed and discussed in detail through graphs for various parameters of interest.

Original languageEnglish
Pages (from-to)540-548
Number of pages9
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume65
Issue number6-7
DOIs
StatePublished - 2010
Externally publishedYes

Keywords

  • Jeffrey fluid
  • Series solutions
  • Shrinking sheet
  • Stagnation flow

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