Axisymmetric Flow Through a Permeable Near-Sphere

F. Ayaz

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F. Ayaz. Axisymmetric Flow Through a Permeable Near-Sphere[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1198-1208.

Citation:

F. Ayaz. Axisymmetric Flow Through a Permeable Near-Sphere[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1198-1208.

Citation:

F. Ayaz. Axisymmetric Flow Through a Permeable Near-Sphere[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1198-1208.

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Axisymmetric Flow Through a Permeable Near-Sphere

F. Ayaz

Department of Mathematics, Faculty of Science and Arts, Gazi University, 06500 Teknikokullar, Ankara, Turkey

Received Date: 2004-06-18
Publish Date: 2005-10-15

Abstract

Abstract

An analytical approach is described for the axisymmetric flow through a permeable near-sphere with a modification to boundary conditions in order to account permeability. The Stoke sequation was solved by a regular perturbation technique up to the second order correction in epsilon representing the deviation from the radius of nondefor med sphere. The drag and the flow rate were calculated and the results were evaluated from the point of geometry and the permeabilty of the surface. An attempt also was made to apply the theory to the filter feeding problem. The filter appendages of small ecologically important aquatic organisms were modeled as axisy mmetric permeable bodies, therefore a rough model for this problem was considered here as an oblate spheroid ornear-sphere.
- Stokes flow,
- perturbation technique,
- filter feeding

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References(20)

References

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