Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (10): 1255-1262.doi: https://doi.org/10.1007/s10483-009-1005-6

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Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

S.Nadeem Anwar Hussain M.Y.Malik T.Hayat   

  1. Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan
  • Received:2009-01-22 Revised:2009-07-01 Online:2009-10-01 Published:2009-10-01

Abstract: This study derives the analytic solutions of boundary layer flows bounded by a shrinking sheet. With the similarity transformations, the partial differential equations are reduced into the ordinary differential equations which are then solved by the homotopy analysis method (HAM). Two-dimensional and axisymmetric shrinking flow cases are discussed.

Key words: stagnation flow, second-grade fluid, shrinking sheet

2010 MSC Number: 

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