Potential Flow Past a Slightly Deformed Porous Circular Cylinder |
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Authors: | Anindita Bhattacharya G P Raja Sekhar |
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Institution: | 1.Fluvial Mechanics Laboratory, Physics and Applied Mathematics Unit,Indian Statistical Institute,Kolkata,India;2.Department of Mathematics,Indian Institute of Technology Kharagpur,Kharagpur,India |
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Abstract: | A uniform potential flow past a porous circular cylinder with a core of different permeability is discussed. The porous circular
cylinder is slightly deformed whose radius is r=r1(1+ecosm q){r=r_1(1+\epsilon \cos m \theta)} , where | e | << 1{\mid\epsilon\mid\ll 1} and m is a positive integer. Here r, θ are the polar coordinates and r
1 is the characteristic radius of the cylinder. The drag force exerted by the exterior flow on the surface of the cylinder
is calculated and it depends on the thickness of the porous material and on the permeabilities of the two porous regions.
As special cases, porous cylinder with hollow core, rigid core, and deformed cylinder is discussed. |
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Keywords: | |
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