Homotopy analysis of carreau fluid flow over a stretching cylinder
Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly...
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my.utm.946532022-03-31T15:51:56Z http://eprints.utm.my/id/eprint/94653/ Homotopy analysis of carreau fluid flow over a stretching cylinder Lim, Yeou Jiann Shafie, Sharidan Mohamad, Ahmad Qushairi Rawi, Noraihan Afiqah QA Mathematics Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly nonlinear differential equations are computed and it is very efficient in demonstrating the characteristic of the Carreau fluid. Validation of the series solutions is achieved via comparing with earlier published results. Those results are obtained by using the Keller-Box method. The effects of the Weissenberg number and curvature parameter on the velocity profiles are discussed by graphs and tabular. The velocity curves have shown different behavior in n<1 and n≥1 for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles. Penerbit Akademia Baru 2021-12 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/94653/1/NoraihanAfiqah2021_HomotopyAnalysisofCarreauFluidFlow.pdf Lim, Yeou Jiann and Shafie, Sharidan and Mohamad, Ahmad Qushairi and Rawi, Noraihan Afiqah (2021) Homotopy analysis of carreau fluid flow over a stretching cylinder. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 88 (2). pp. 80-92. ISSN 2289-7879 http://dx.doi.org/10.37934/arfmts.88.2.8092 DOI:10.37934/arfmts.88.2.8092 |
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QA Mathematics Lim, Yeou Jiann Shafie, Sharidan Mohamad, Ahmad Qushairi Rawi, Noraihan Afiqah Homotopy analysis of carreau fluid flow over a stretching cylinder |
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Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly nonlinear differential equations are computed and it is very efficient in demonstrating the characteristic of the Carreau fluid. Validation of the series solutions is achieved via comparing with earlier published results. Those results are obtained by using the Keller-Box method. The effects of the Weissenberg number and curvature parameter on the velocity profiles are discussed by graphs and tabular. The velocity curves have shown different behavior in n<1 and n≥1 for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles. |
format |
Article |
author |
Lim, Yeou Jiann Shafie, Sharidan Mohamad, Ahmad Qushairi Rawi, Noraihan Afiqah |
author_facet |
Lim, Yeou Jiann Shafie, Sharidan Mohamad, Ahmad Qushairi Rawi, Noraihan Afiqah |
author_sort |
Lim, Yeou Jiann |
title |
Homotopy analysis of carreau fluid flow over a stretching cylinder |
title_short |
Homotopy analysis of carreau fluid flow over a stretching cylinder |
title_full |
Homotopy analysis of carreau fluid flow over a stretching cylinder |
title_fullStr |
Homotopy analysis of carreau fluid flow over a stretching cylinder |
title_full_unstemmed |
Homotopy analysis of carreau fluid flow over a stretching cylinder |
title_sort |
homotopy analysis of carreau fluid flow over a stretching cylinder |
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Penerbit Akademia Baru |
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2021 |
url |
http://eprints.utm.my/id/eprint/94653/1/NoraihanAfiqah2021_HomotopyAnalysisofCarreauFluidFlow.pdf http://eprints.utm.my/id/eprint/94653/ http://dx.doi.org/10.37934/arfmts.88.2.8092 |
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