Application of Homotopy Analysis Method to the Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

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 dimen...

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Bibliographic Details
Published in:Mathematical problems in engineering 2010, Vol.2010 (2010), p.1-18
Main Authors: Rashidi, Mohammad Mehdi, Siddiqui, Abdul Majid, Asadi, Mostafa
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:1024-123X
1563-5147