Novel solution for acceleration motion of a vertically falling spherical particle by HPM-Padé approximant

Mohsen Torabi; Hessameddin Yaghoobi

doi:10.1016/j.apt.2011.02.013

Novel solution for acceleration motion of a vertically falling spherical particle by HPM-Padé approximant

Mohsen Torabi, Hessameddin Yaghoobi

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57 Citas (Scopus)

Resumen

In this paper the acceleration motion of a vertically falling spherical particle in incompressible Newtonian media is investigated. The velocity is evaluated by using homotopy perturbation method (HPM) and Padé approximant which is an analytical solution technique. The current results are then compared with those derived from HPM and the established fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. It is found that this method can achieve more suitable results in comparison to HPM.

Idioma original	English
Páginas (desde-hasta)	674-677
Número de páginas	4
Publicación	Advanced Powder Technology
Volumen	22
N.º	5
DOI	https://doi.org/10.1016/j.apt.2011.02.013
Estado	Published - sep. 2011
Publicado de forma externa	Sí

Nota bibliográfica

Funding Information:
The authors gratefully acknowledge the support of the Department of Mechanical Engineering and the talented office of Semnan University for funding the current research grant. The authors also thank the referees for their comments on the manuscript.

ASJC Scopus Subject Areas

General Chemical Engineering
Mechanics of Materials

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10.1016/j.apt.2011.02.013

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abstract = "In this paper the acceleration motion of a vertically falling spherical particle in incompressible Newtonian media is investigated. The velocity is evaluated by using homotopy perturbation method (HPM) and Pad{\'e} approximant which is an analytical solution technique. The current results are then compared with those derived from HPM and the established fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. It is found that this method can achieve more suitable results in comparison to HPM.",

author = "Mohsen Torabi and Hessameddin Yaghoobi",

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AU - Yaghoobi, Hessameddin

N1 - Funding Information: The authors gratefully acknowledge the support of the Department of Mechanical Engineering and the talented office of Semnan University for funding the current research grant. The authors also thank the referees for their comments on the manuscript.

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Y1 - 2011/9

N2 - In this paper the acceleration motion of a vertically falling spherical particle in incompressible Newtonian media is investigated. The velocity is evaluated by using homotopy perturbation method (HPM) and Padé approximant which is an analytical solution technique. The current results are then compared with those derived from HPM and the established fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. It is found that this method can achieve more suitable results in comparison to HPM.

AB - In this paper the acceleration motion of a vertically falling spherical particle in incompressible Newtonian media is investigated. The velocity is evaluated by using homotopy perturbation method (HPM) and Padé approximant which is an analytical solution technique. The current results are then compared with those derived from HPM and the established fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. It is found that this method can achieve more suitable results in comparison to HPM.

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ER -

Novel solution for acceleration motion of a vertically falling spherical particle by HPM-Padé approximant

Resumen

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ASJC Scopus Subject Areas

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