Use of Adomian decomposition method in the study of parallel plate flow of a third grade fluid

A. M. Siddiqui, M. Hameed, B. M. Siddiqui, Q. K. Ghori

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

In this paper, Adomian's decomposition method is used to solve non-linear differential equations which arise in fluid dynamics. We study basic flow problems of a third grade non-Newtonian fluid between two parallel plates separated by a finite distance. The technique of Adomian decomposition is successfully applied to study the problem of a non-Newtonian plane Couette flow, fully developed plane Poiseuille flow and plane Couette-Poiseuille flow. The results obtained show the reliability and efficiency of this analytical method. Numerical solutions are also obtained by solving non-linear ordinary differential equations using Chebyshev spectral method. We present a comparative study between the analytical solutions and numerical solutions. The analytical results are found to be in good agreement with numerical solutions which reveals the effectiveness and convenience of the Adomian decomposition method.

Original languageEnglish (US)
Pages (from-to)2388-2399
Number of pages12
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number9
DOIs
StatePublished - Sep 1 2010

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Third Grade Fluid
Adomian Decomposition Method
Couette Flow
Poiseuille Flow
Numerical Solution
Decomposition
Fluids
Adomian Decomposition
Chebyshev's Method
Non-Newtonian Fluid
Nonlinear Ordinary Differential Equations
Spectral Methods
Fluid Dynamics
Fluid dynamics
Analytical Methods
Ordinary differential equations
Nonlinear Differential Equations
Comparative Study
Analytical Solution
Differential equations

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics

Cite this

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Use of Adomian decomposition method in the study of parallel plate flow of a third grade fluid. / Siddiqui, A. M.; Hameed, M.; Siddiqui, B. M.; Ghori, Q. K.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 9, 01.09.2010, p. 2388-2399.

Research output: Contribution to journalArticle

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