### Abstract

In this paper, two-dimensional creeping flows generated by source and sink inside a circular cylinder are studied in the presence of different boundary conditions. For simplicity, line source and sink are assumed to be parallel to the cylinder axis, all axes in the same plane. The interior boundary value problem associated with these flows is solved in terms of a stream function. Analytical solutions for the flow field are obtained by straight forward application of the Fourier method. These solutions are used to plot streamline topologies of these flows and the flow patterns are sketched for a number of special cases where the boundary conditions is varying from no slip to perfect slip boundary conditions. Eddies of various sizes and shapes appear as the parameter is varied. Some interesting flow patterns are observed in the parameter space which may have applications in vortex mixing flows.

Original language | English |
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Pages (from-to) | 2003-2013 |

Number of pages | 11 |

Journal | Applied Mathematical Sciences |

Volume | 3 |

Issue number | 37-40 |

Publication status | Published - 2009 |

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### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematical Sciences*,

*3*(37-40), 2003-2013.

**Flows driven by a combination of source/sink part 2 : Interior creeping flows.** / El Bashir, T. B A.

Research output: Contribution to journal › Article

*Applied Mathematical Sciences*, vol. 3, no. 37-40, pp. 2003-2013.

}

TY - JOUR

T1 - Flows driven by a combination of source/sink part 2

T2 - Interior creeping flows

AU - El Bashir, T. B A

PY - 2009

Y1 - 2009

N2 - In this paper, two-dimensional creeping flows generated by source and sink inside a circular cylinder are studied in the presence of different boundary conditions. For simplicity, line source and sink are assumed to be parallel to the cylinder axis, all axes in the same plane. The interior boundary value problem associated with these flows is solved in terms of a stream function. Analytical solutions for the flow field are obtained by straight forward application of the Fourier method. These solutions are used to plot streamline topologies of these flows and the flow patterns are sketched for a number of special cases where the boundary conditions is varying from no slip to perfect slip boundary conditions. Eddies of various sizes and shapes appear as the parameter is varied. Some interesting flow patterns are observed in the parameter space which may have applications in vortex mixing flows.

AB - In this paper, two-dimensional creeping flows generated by source and sink inside a circular cylinder are studied in the presence of different boundary conditions. For simplicity, line source and sink are assumed to be parallel to the cylinder axis, all axes in the same plane. The interior boundary value problem associated with these flows is solved in terms of a stream function. Analytical solutions for the flow field are obtained by straight forward application of the Fourier method. These solutions are used to plot streamline topologies of these flows and the flow patterns are sketched for a number of special cases where the boundary conditions is varying from no slip to perfect slip boundary conditions. Eddies of various sizes and shapes appear as the parameter is varied. Some interesting flow patterns are observed in the parameter space which may have applications in vortex mixing flows.

UR - http://www.scopus.com/inward/record.url?scp=77950988044&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950988044&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77950988044

VL - 3

SP - 2003

EP - 2013

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 37-40

ER -