The Axisymmetric Slow Viscous Flow about a Shear Stress Free Sphere

1
M. Jalal Ahammad
M. Jalal Ahammad
2
S. K. Sen
S. K. Sen
3
M. Kamran Chowdhury
M. Kamran Chowdhury
1 University of Chittagong

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Harper’s sphere theorem for the axisymmetric slow viscous flow exterior to a shear stress-free sphere is established in an alternative way and then given an extension of the theorem for the flow interior to the same sphere.

13 Cites in Articles

References

  1. J Harper (1983). Axisymmertic Stokes flow images in spherical free surfaces with applications to rising bubbles.
  2. S F J Butler (1954). A note on Stokes stream function for motion with a spherical boundary.
  3. L Milne-Thomson (1972). Theoretical Hydrodynamics.
  4. P Weiss (1944). On hydradynamical images, abitray irrotational flow disturbed by a sphere.
  5. G Ludford,J Martinek,G Yeh (1955). The sphere theorem in potential theory.
  6. W Collins (1954). A note on Stokes' stream function for the slow steady motion of viscous fluid before a plane and spherical boundary.
  7. W Collins (1958). Note on a sphere theorem for the axisymmetric stokes flow of a viscous fluid.
  8. R Usha,K Hemalatha (1993). A note on plane Stokes flow past a shear free impermeable cylinder.
  9. L Milne-Thomson (1940). Hydrodynamical images.
  10. A Avudainayagam,B Jothiram (1988). A CIRCLE THEOREM FOR PLANE STOKES FLOWS.
  11. S Sen (1989). Circle theorems for steady Stokes flow.
  12. G Batchelor (1969). An Introduction to Fluid Dynamics.
  13. John Happel,Howard Brenner (1986). Introduction.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

M. Jalal Ahammad. 2015. \u201cThe Axisymmetric Slow Viscous Flow about a Shear Stress Free Sphere\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F1): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 55Q40 , 76F10
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v1.2

Issue date

February 6, 2015

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English

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Harper’s sphere theorem for the axisymmetric slow viscous flow exterior to a shear stress-free sphere is established in an alternative way and then given an extension of the theorem for the flow interior to the same sphere.

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The Axisymmetric Slow Viscous Flow about a Shear Stress Free Sphere

S. K. Sen
S. K. Sen
M. Kamran Chowdhury
M. Kamran Chowdhury
M. Jalal Ahammad
M. Jalal Ahammad University of Chittagong

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