Application of Homotopy Analysis Method to the Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates-Reference-Cited by-同舟云学术

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

Published:2010 Issue: Volume:2010 Page:1-18
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Rashidi Mohammad Mehdi¹^ORCID,Siddiqui Abdul Majid²^ORCID,Asadi Mostafa¹

Affiliation:

1. Department of Mechanical Engineering, Faculty of Engineering, Bu Ali Sina University, P.O. Box 65175-4161, Hamedan, Iran

2. Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403, USA

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2010/706840.pdf

Reference38 articles.

1. Study on squeezing flow during nonisothermal embossing of polymer microstructures

2. Compressible Squeeze Films and Squeeze Bearings

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