Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder

A. M. Siddiqui; R. Mahmood; Q. K. Ghori

doi:10.1016/j.physleta.2005.12.033

Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder

A. M. Siddiqui, R. Mahmood, Q. K. Ghori

Penn State York

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

133 Scopus citations

Abstract

The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use.

Original language	English (US)
Pages (from-to)	404-410
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	352
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2005.12.033
State	Published - Apr 3 2006

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1016/j.physleta.2005.12.033

Cite this

@article{052495a9706d44359a19bece91063a33,

title = "Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder",

abstract = "The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use.",

author = "Siddiqui, \{A. M.\} and R. Mahmood and Ghori, \{Q. K.\}",

year = "2006",

month = apr,

day = "3",

doi = "10.1016/j.physleta.2005.12.033",

language = "English (US)",

volume = "352",

pages = "404--410",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "4-5",

}

TY - JOUR

T1 - Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder

AU - Siddiqui, A. M.

AU - Mahmood, R.

AU - Ghori, Q. K.

PY - 2006/4/3

Y1 - 2006/4/3

N2 - The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use.

AB - The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use.

UR - https://www.scopus.com/pages/publications/33644969399

UR - https://www.scopus.com/inward/citedby.url?scp=33644969399&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2005.12.033

DO - 10.1016/j.physleta.2005.12.033

M3 - Article

AN - SCOPUS:33644969399

SN - 0375-9601

VL - 352

SP - 404

EP - 410

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -

Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this