Open AccessHomotopy Analysis of Carreau Fluid Flow Over a Stretching Cylinder
Author(s) -
Lim Yeou Jiann,
Sharidan Shafie,
Ahmad Qushairi Mohamad,
Noraihan Afiqah Rawi
Publication year - 2021
Publication title -
journal of advanced research in fluid mechanics and thermal sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.247
H-Index - 13
ISSN - 2289-7879
DOI - 10.37934/arfmts.88.2.8092
Subject(s) - carreau fluid , homotopy analysis method , weissenberg number , mathematics , cylinder , curvature , series (stratigraphy) , boundary layer , dimensionless quantity , mathematical analysis , homotopy , nonlinear system , convergence (economics) , flow (mathematics) , mechanics , geometry , physics , paleontology , quantum mechanics , pure mathematics , economics , biology , economic growth
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 and for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles.