On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder

T. Hayat; M. Sajid

doi:10.1016/j.physleta.2006.09.060

On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder

T. Hayat
, M. Sajid

Quaid-I-Azam University
Pakistan Atomic Energy Commission

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

263 Scopus citations

Abstract

In this Letter a totally analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder is obtained using homotopy analysis method (HAM). The series solution is developed and the recurrence relations are given explicitly. Convergence of the solution and effects of rheological parameters are discussed. The comparison of the HAM results with HPM results is made. It is found that HPM results are divergent for strong nonlinearity. The results reveal that HAM is very simple and effective and provides a simple way to control and adjust the convergence region.

Original language	English
Pages (from-to)	316-322
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	361
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2006.09.060
State	Published - 5 Feb 2007
Externally published	Yes

Keywords

Fourth grade fluid
HAM solution
Thin film flow

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10.1016/j.physleta.2006.09.060

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abstract = "In this Letter a totally analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder is obtained using homotopy analysis method (HAM). The series solution is developed and the recurrence relations are given explicitly. Convergence of the solution and effects of rheological parameters are discussed. The comparison of the HAM results with HPM results is made. It is found that HPM results are divergent for strong nonlinearity. The results reveal that HAM is very simple and effective and provides a simple way to control and adjust the convergence region.",

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AU - Sajid, M.

PY - 2007/2/5

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N2 - In this Letter a totally analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder is obtained using homotopy analysis method (HAM). The series solution is developed and the recurrence relations are given explicitly. Convergence of the solution and effects of rheological parameters are discussed. The comparison of the HAM results with HPM results is made. It is found that HPM results are divergent for strong nonlinearity. The results reveal that HAM is very simple and effective and provides a simple way to control and adjust the convergence region.

AB - In this Letter a totally analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder is obtained using homotopy analysis method (HAM). The series solution is developed and the recurrence relations are given explicitly. Convergence of the solution and effects of rheological parameters are discussed. The comparison of the HAM results with HPM results is made. It is found that HPM results are divergent for strong nonlinearity. The results reveal that HAM is very simple and effective and provides a simple way to control and adjust the convergence region.

KW - Fourth grade fluid

KW - HAM solution

KW - Thin film flow

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U2 - 10.1016/j.physleta.2006.09.060

DO - 10.1016/j.physleta.2006.09.060

M3 - Article

AN - SCOPUS:33845432502

SN - 0375-9601

VL - 361

SP - 316

EP - 322

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 -

On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder

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Keywords

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