Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method

M. M. Rashidi; S. A. Mohimanian Pour; T. Hayat; S. Obaidat

doi:10.1016/j.compfluid.2011.08.001

Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method

M. M. Rashidi
, S. A. Mohimanian Pour
, T. Hayat
, S. Obaidat

Bu-Ali Sina University
Quaid-I-Azam University
King Saud University

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

148 Scopus citations

Abstract

In this paper, the homotopy analysis method (HAM) is applied to obtain the approximate analytical solutions of the steady flow over a rotating disk in porous medium with heat transfer. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of the porosity parameter is discussed in detail. The validity of the obtained solutions is verified by the numerical results (fourth-order Runge-Kutta method and shooting method).

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Computers and Fluids
Volume	54
Issue number	1
DOIs	https://doi.org/10.1016/j.compfluid.2011.08.001
State	Published - 30 Jan 2012
Externally published	Yes

Keywords

Convergence
Homotopy analysis method
Rotating disk
System of nonlinear ordinary differential equations

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10.1016/j.compfluid.2011.08.001

Cite this

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title = "Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method",

abstract = "In this paper, the homotopy analysis method (HAM) is applied to obtain the approximate analytical solutions of the steady flow over a rotating disk in porous medium with heat transfer. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of the porosity parameter is discussed in detail. The validity of the obtained solutions is verified by the numerical results (fourth-order Runge-Kutta method and shooting method).",

keywords = "Convergence, Homotopy analysis method, Rotating disk, System of nonlinear ordinary differential equations",

author = "Rashidi, \{M. M.\} and \{Mohimanian Pour\}, \{S. A.\} and T. Hayat and S. Obaidat",

year = "2012",

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T1 - Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method

AU - Rashidi, M. M.

AU - Mohimanian Pour, S. A.

AU - Hayat, T.

AU - Obaidat, S.

PY - 2012/1/30

Y1 - 2012/1/30

N2 - In this paper, the homotopy analysis method (HAM) is applied to obtain the approximate analytical solutions of the steady flow over a rotating disk in porous medium with heat transfer. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of the porosity parameter is discussed in detail. The validity of the obtained solutions is verified by the numerical results (fourth-order Runge-Kutta method and shooting method).

AB - In this paper, the homotopy analysis method (HAM) is applied to obtain the approximate analytical solutions of the steady flow over a rotating disk in porous medium with heat transfer. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of the porosity parameter is discussed in detail. The validity of the obtained solutions is verified by the numerical results (fourth-order Runge-Kutta method and shooting method).

KW - Convergence

KW - Homotopy analysis method

KW - Rotating disk

KW - System of nonlinear ordinary differential equations

UR - https://www.scopus.com/pages/publications/82455164141

U2 - 10.1016/j.compfluid.2011.08.001

DO - 10.1016/j.compfluid.2011.08.001

M3 - Article

AN - SCOPUS:82455164141

SN - 0045-7930

VL - 54

SP - 1

EP - 9

JO - Computers and Fluids

JF - Computers and Fluids

IS - 1

ER -

Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method

Abstract

Keywords

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