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Shrinking flow of second grade fluid in a rotating frame: An analytic solution

  • T. Hayat
  • , Sania Iram
  • , T. Javed
  • , S. Asghar
  • Quaid-I-Azam University
  • International Islamic University Islamabad
  • COMSATS University Islamabad

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

Abstract

In this work, the homotopy analysis method (HAM) is employed to develop a series solution for shrinking flow in a rotating frame of reference. An incompressible and homogeneous second grade fluid is bounded between the two porous walls. Convergence of the obtained analytic solution is carefully checked. Graphical results are presented and discussed. It is found that the magnitude of x and z-components of dimensionless velocity in viscous fluid is more in comparison to second grade fluid. However the magnitude of dimensionless y-component in second grade fluid is much than that of viscous fluid when α ≤ 0.5 .

Original languageEnglish
Pages (from-to)2932-2941
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number10
DOIs
StatePublished - Oct 2010
Externally publishedYes

Keywords

  • Analytic solution
  • Rotating system
  • Second grade fluid

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