Application of HPM to find analytical solution of Coette flow with variable viscosity

Alireza Azimi; Mohammadreza Azimi; Amirhossein Javanfar

doi:10.1515/ama-2015-0001

Application of HPM to find analytical solution of Coette flow with variable viscosity

Alireza Azimi, Mohammadreza Azimi, Amirhossein Javanfar

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.

Original language	English
Pages (from-to)	5-8
Number of pages	4
Journal	Acta Mechanica et Automatica
Volume	9
Issue number	1
DOIs	https://doi.org/10.1515/ama-2015-0001
Publication status	Published - Mar 2015
Externally published	Yes

Keywords*

Analytical solution
Coette flow
HPM
Viscosity

Field of Science*

2.5 Materials engineering
2.3 Mechanical engineering

Publication Type*

1.1. Scientific article indexed in Web of Science and/or Scopus database

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abstract = "In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.",

keywords = "Analytical solution, Coette flow, HPM, Viscosity",

author = "Alireza Azimi and Mohammadreza Azimi and Amirhossein Javanfar",

year = "2015",

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doi = "10.1515/ama-2015-0001",

language = "English",

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T1 - Application of HPM to find analytical solution of Coette flow with variable viscosity

AU - Azimi, Alireza

AU - Azimi, Mohammadreza

AU - Javanfar, Amirhossein

PY - 2015/3

Y1 - 2015/3

N2 - In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.

AB - In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.

KW - Analytical solution

KW - Coette flow

KW - HPM

KW - Viscosity

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JO - Acta Mechanica et Automatica

JF - Acta Mechanica et Automatica

IS - 1

ER -

Application of HPM to find analytical solution of Coette flow with variable viscosity

Abstract

Keywords*

Field of Science*

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