Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Padé approximant and the Boubaker polynomials expansion scheme BPES

Mohsen Torabi; Hessameddin Yaghoobi; Karem Boubaker

doi:10.1016/j.ijheatmasstransfer.2012.11.007

Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Padé approximant and the Boubaker polynomials expansion scheme BPES

Mohsen Torabi, Hessameddin Yaghoobi, Karem Boubaker

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

16 Citations (Scopus)

Abstract

In this paper the analytical solutions for the motion of a spherical particle in a plane Couette Newtonian fluid flow are investigated, by using homotopy perturbation method (HPM) and Padé approximant and the Boubaker polynomials expansion scheme (BPES). 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 compare with HPM. © 2012 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	224-228
Journal	International Journal of Heat and Mass Transfer
Volume	58
Issue number	1-2
Online published	8 Dec 2012
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.007
Publication status	Published - Mar 2013

Research Keywords

Boubaker polynomials expansion scheme (BPES)
Homotopy perturbation method (HPM)
Newtonian fluid
Padé approximant
Sedimentation
Solid spherical particle

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10.1016/j.ijheatmasstransfer.2012.11.007

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title = "Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Pad{\'e} approximant and the Boubaker polynomials expansion scheme BPES",

abstract = "In this paper the analytical solutions for the motion of a spherical particle in a plane Couette Newtonian fluid flow are investigated, by using homotopy perturbation method (HPM) and Pad{\'e} approximant and the Boubaker polynomials expansion scheme (BPES). 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 compare with HPM. {\textcopyright} 2012 Elsevier Ltd. All rights reserved.",

keywords = "Boubaker polynomials expansion scheme (BPES), Homotopy perturbation method (HPM), Newtonian fluid, Pad{\'e} approximant, Sedimentation, Solid spherical particle",

author = "Mohsen Torabi and Hessameddin Yaghoobi and Karem Boubaker",

year = "2013",

month = mar,

doi = "10.1016/j.ijheatmasstransfer.2012.11.007",

language = "English",

volume = "58",

pages = "224--228",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Ltd.",

number = "1-2",

}

Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Padé approximant and the Boubaker polynomials expansion scheme BPES. / Torabi, Mohsen; Yaghoobi, Hessameddin; Boubaker, Karem.
In: International Journal of Heat and Mass Transfer, Vol. 58, No. 1-2, 03.2013, p. 224-228.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

TY - JOUR

T1 - Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Padé approximant and the Boubaker polynomials expansion scheme BPES

AU - Torabi, Mohsen

AU - Yaghoobi, Hessameddin

AU - Boubaker, Karem

PY - 2013/3

Y1 - 2013/3

N2 - In this paper the analytical solutions for the motion of a spherical particle in a plane Couette Newtonian fluid flow are investigated, by using homotopy perturbation method (HPM) and Padé approximant and the Boubaker polynomials expansion scheme (BPES). 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 compare with HPM. © 2012 Elsevier Ltd. All rights reserved.

AB - In this paper the analytical solutions for the motion of a spherical particle in a plane Couette Newtonian fluid flow are investigated, by using homotopy perturbation method (HPM) and Padé approximant and the Boubaker polynomials expansion scheme (BPES). 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 compare with HPM. © 2012 Elsevier Ltd. All rights reserved.

KW - Boubaker polynomials expansion scheme (BPES)

KW - Homotopy perturbation method (HPM)

KW - Newtonian fluid

KW - Padé approximant

KW - Sedimentation

KW - Solid spherical particle

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U2 - 10.1016/j.ijheatmasstransfer.2012.11.007

DO - 10.1016/j.ijheatmasstransfer.2012.11.007

M3 - RGC 21 - Publication in refereed journal

SN - 0017-9310

VL - 58

SP - 224

EP - 228

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 1-2

ER -

Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Padé approximant and the Boubaker polynomials expansion scheme BPES

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Research Keywords

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