Shrinking flow of second grade fluid in a rotating frame: an analytic solution. (English) Zbl 1222.76074
Summary: The homotopy analysis method (HAM) is employed to develop a series solution for shrinking flow in a rotating frame of reference. An incompressible and homogeneous second grade fluid is bounded between the two porous walls. Convergence of the obtained analytic solution is carefully checked. Graphical results are presented and discussed. It is found that the magnitude of \(x\) and \(z\)-components of dimensionless velocity in viscous fluid is more in comparison to second grade fluid. However the magnitude of dimensionless \(y\)-component in second grade fluid is much than that of viscous fluid when \(\alpha \leq 0.5\).
MSC:
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 76U05 | General theory of rotating fluids |
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