On stagnation point flow of Sisko fluid over a stretching sheet. (English) Zbl 1293.76014
Summary: The steady two-dimensional stagnation-point flow, represented by Sisko fluid constitutive model, over a stretching sheet is investigated theoretically. Using suitable similarity transformations, the governing boundary-layer equations are transformed into the self-similar non-linear ordinary differential equation. The transformed equation is then solved using a very efficient analytic technique namely the homotopy analysis method (HAM) and the HAM solutions are validated by the exact analytic solutions obtain in certain special cases. The influence of the power-law index \((n)\), the material parameter \((A)\) and the velocity ratio parameter \((d/c)\) on the flow characteristics is studied and presented through several graphs. In addition, the local skin friction coefficient for several values of these parameters is tabulated and examined. The similarity solutions for both the Newtonian and the power-law fluids are presented as special cases of the analysis. The results obtained reveal that, in comparison with the Newtonian and the power-law fluids, the velocity profiles of the Sisko fluid are much faster (slower), for \(d/c<1\) \((d/c>1)\), respectively.
MSC:
| 76A05 | Non-Newtonian fluids |
| 76M45 | Asymptotic methods, singular perturbations applied to problems in fluid mechanics |
| 76M55 | Dimensional analysis and similarity applied to problems in fluid mechanics |
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