Two dimensional steady Stokes flow around a circular cylinder is examined in the light of complex variable theory and a circle theorem for the flow, are established. The theorem gives a complex variable expression of the velocity for a Stokes flow external to a circular cylinder, in terms of the same variable expression of the velocity for a slow and steady irrotational flow in unbounded incompressible viscous fluid, and also gives a formula for the steam function for the flow. A few illustrative solutions of Stokes flow around a circular cylinder are presented.
Published in | International Journal of Applied Mathematics and Theoretical Physics (Volume 3, Issue 1) |
DOI | 10.11648/j.ijamtp.20170301.12 |
Page(s) | 7-13 |
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2016. Published by Science Publishing Group |
Two Dimensional Stokes Flow, Complex Variable Theory, Circle Theorem
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APA Style
N. Akhtar, G. A. H. Chowdhury. (2016). A Complex Variable Circle Theorem for Plane Stokes Flows. International Journal of Applied Mathematics and Theoretical Physics, 3(1), 7-13. https://doi.org/10.11648/j.ijamtp.20170301.12
ACS Style
N. Akhtar; G. A. H. Chowdhury. A Complex Variable Circle Theorem for Plane Stokes Flows. Int. J. Appl. Math. Theor. Phys. 2016, 3(1), 7-13. doi: 10.11648/j.ijamtp.20170301.12
AMA Style
N. Akhtar, G. A. H. Chowdhury. A Complex Variable Circle Theorem for Plane Stokes Flows. Int J Appl Math Theor Phys. 2016;3(1):7-13. doi: 10.11648/j.ijamtp.20170301.12
@article{10.11648/j.ijamtp.20170301.12, author = {N. Akhtar and G. A. H. Chowdhury}, title = {A Complex Variable Circle Theorem for Plane Stokes Flows}, journal = {International Journal of Applied Mathematics and Theoretical Physics}, volume = {3}, number = {1}, pages = {7-13}, doi = {10.11648/j.ijamtp.20170301.12}, url = {https://doi.org/10.11648/j.ijamtp.20170301.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20170301.12}, abstract = {Two dimensional steady Stokes flow around a circular cylinder is examined in the light of complex variable theory and a circle theorem for the flow, are established. The theorem gives a complex variable expression of the velocity for a Stokes flow external to a circular cylinder, in terms of the same variable expression of the velocity for a slow and steady irrotational flow in unbounded incompressible viscous fluid, and also gives a formula for the steam function for the flow. A few illustrative solutions of Stokes flow around a circular cylinder are presented.}, year = {2016} }
TY - JOUR T1 - A Complex Variable Circle Theorem for Plane Stokes Flows AU - N. Akhtar AU - G. A. H. Chowdhury Y1 - 2016/12/12 PY - 2016 N1 - https://doi.org/10.11648/j.ijamtp.20170301.12 DO - 10.11648/j.ijamtp.20170301.12 T2 - International Journal of Applied Mathematics and Theoretical Physics JF - International Journal of Applied Mathematics and Theoretical Physics JO - International Journal of Applied Mathematics and Theoretical Physics SP - 7 EP - 13 PB - Science Publishing Group SN - 2575-5927 UR - https://doi.org/10.11648/j.ijamtp.20170301.12 AB - Two dimensional steady Stokes flow around a circular cylinder is examined in the light of complex variable theory and a circle theorem for the flow, are established. The theorem gives a complex variable expression of the velocity for a Stokes flow external to a circular cylinder, in terms of the same variable expression of the velocity for a slow and steady irrotational flow in unbounded incompressible viscous fluid, and also gives a formula for the steam function for the flow. A few illustrative solutions of Stokes flow around a circular cylinder are presented. VL - 3 IS - 1 ER -