Flow of a second-grade fluid through a cylindrical permeable tube. (English) Zbl 1101.76005
Summary: We investigate a second-grade fluid flow in a cylindrical tube. The perturbations are expanded in terms of the second-order material coefficient, which means that either the second-order parameter is sufficiently small or the characteristic diameter is very large. After obtaining the solutions for the impermeable tube, the problem is examined for suction or injection through the tube surfaces. The general solutions are obtained for a circular tube, and are also applied to a tube of arbitrary cross-section by using conformal transformation.
MSC:
| 76A05 | Non-Newtonian fluids |
| 76M45 | Asymptotic methods, singular perturbations applied to problems in fluid mechanics |
| 76M40 | Complex variables methods applied to problems in fluid mechanics |
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