On the flow in a uniformly porous pipe |
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Authors: | M Emin Erdoan C Erdem mrak |
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Institution: | aİstanbul Teknik Üniversitesi, Makina Fakültesi, 34439 Gümüşsuyu, İstanbul, Turkey |
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Abstract: | This article considers 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 filed can be expressed in a series form in terms of the 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 cross-Reynolds number, Ua/ν, where U is the suction velocity, a is the radius of the pipe and ν is the kinematic viscosity of the fluid. 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 the vorticity vary sharply. Outside the boundary layer, the velocity and the vorticity do not show an appreciable change. |
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Keywords: | Porous pipe Suction Injection Laminar flow Exact solution |
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