Stokes Flow between Two Cylinders

Authors

  • A Murad Department of Mathematics, University of Chittagong, Chittagong-4331
  • SK Sen Research Centre for Mathematical and Physical Sciences (RCMPS), University of Chittagong, Chittagong-4331

DOI:

https://doi.org/10.3329/jbas.v36i1.10928

Keywords:

Stokes flow, Line source, Line sink, Co-axial cylinders, Shear-free, Stream function

Abstract

The two-dimensional slow viscous fluid motion between two co-axial circular cylinders showed  the inner cylinder is shear-free and the outer one is rigid. The flow is due to the presence of a line source and a line sink of equal strength on the outer cylinder. The stream function for the flow in the annular region is established. The hydrodynamic force on the inner shear-free cylinder has been  evaluated. Some numerical values for the force have been presented in a table and compared with  corresponding known values where both inner and outer cylinders are rigid.

DOI: http://dx.doi.org/10.3329/jbas.v36i1.10928

Journal of Bangladesh Academy of Sciences, Vol. 36, No. 1, 123-135, 2012

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Published

2012-06-18

How to Cite

Murad, A., & Sen, S. (2012). Stokes Flow between Two Cylinders. Journal of Bangladesh Academy of Sciences, 36(1), 123–135. https://doi.org/10.3329/jbas.v36i1.10928

Issue

Vol. 36 No. 1 (2012)

Section

Articles