Application of homotopy analysis method to the unsteady squeezing flow of a second-grade fluid between circular plates

Mohammad Mehdi Rashidi, Abdul Majid Siddiqui, Mostafa Asadi

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33 Scopus citations

Abstract

We investigated an axisymmetric unsteady two-dimensional flow of nonconducting, incompressible second grade fluid between two circular plates. The similarity transformation is applied to reduce governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE) in dimensionless form. The resulting nonlinear boundary value problem is solved using homotopy analysis method and numerical method. The effects of appropriate dimensionless parameters on the velocity profiles are studied. The total resistance to the upper plate has been calculated.

Original languageEnglish (US)
Article number706840
JournalMathematical Problems in Engineering
Volume2010
DOIs
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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