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| Title | Axisymmetric stagnation point flow of a viscous fluid on a rotating cylinder with time-dependent angular velocity and uniform transpiration |
| Publication Type | Conference Paper |
| Year of Publication | 2005 |
| Authors | Rahimi, B. A., and R. Saleh |
| Editor | Simos, T., and G. Maroulis |
| Conference Name | ADVANCES IN COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2005, VOLS 4 A & 4 B |
| Pagination | 1842-1848 |
| Publisher | Amer Chem Soc; Amer Phys Soc |
| Conference Location | PO BOX 9000, 2300 PA LEIDEN, NETHERLANDS |
| ISBN Number | 90-6764-443-9 |
| Keywords | exact solution, stagnation flow, time-dependent rotation, viscous flow |
| Abstract | The unsteady viscous flow in the vicinity of an axisymmetric stagnation point of an infinite rotating circular cylinder with transpiration is investigated when the angular velocity varies arbitrarily with time. The free stream is steady and with a strain rate of. An exact solution of the Navier-Stokes equations is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations for the most general case when the transpiration rate is also time-dependent but results are presented for uniform values of this quantity. The general self-similar solution is obtained when the angular velocity of the cylinder varies as specified time-dependent functions. |