Laminar flow in a uniformly porous pipe
This study focused on fully laminar flow of an incompressible viscous fluid in a uniformly porous pipe with suction and injection. An exact solution of the Navier-Stokes equations is given. The velocity field can be expressed in a series form in terms of modified Bessel function of the first kind of...
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| Format: | Thesis |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/78330/1/NurSyamilahArifinMFS20141.pdf http://eprints.utm.my/id/eprint/78330/ http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:79348 |
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| Institution: | Universiti Teknologi Malaysia |
| Language: | English |
| Summary: | This study focused on fully laminar flow of an incompressible viscous fluid in a uniformly porous pipe with suction and injection. An exact solution of the Navier-Stokes equations is given. The velocity field can be expressed in a series form in terms of modified Bessel function of the first kind of order n. The volume flux across a plane normal to the flow, the vorticity and the stress on the boundary are presented. The flow properties depend on the Reynolds number, U a / ,where U is the suction velocity, a is the radius of the pipe and is the kinematic viscosity. It is found that for large values of the cross-Reynolds number, the flow near the region of the suction shows a boundary layer character. In this region the velocity and vorticity vary sharply. Outside the boundary layer, the velocity and the vorticity do not show an appreciable change. |
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