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

Mohammad Mehdi Rashidi, Abdul M. Siddiqui, Mostafa Asadi

Research output: Contribution to journalArticle

24 Citations (Scopus)

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 - Dec 1 2010

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Second Grade Fluid
Circular Plate
Homotopy Analysis Method
Squeezing
Dimensionless
Ordinary differential equations
Boundary value problems
Partial differential equations
Numerical methods
Fluids
Similarity Transformation
Nonlinear Boundary Value Problems
Nonlinear Ordinary Differential Equations
Velocity Profile
Incompressible Fluid
Partial differential equation
Numerical Methods
Form
Resistance

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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Application of homotopy analysis method to the unsteady squeezing flow of a second-grade fluid between circular plates. / Rashidi, Mohammad Mehdi; Siddiqui, Abdul M.; Asadi, Mostafa.

In: Mathematical Problems in Engineering, Vol. 2010, 706840, 01.12.2010.

Research output: Contribution to journalArticle

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