Drag force and virtual mass of a cylindrical porous shell in potential flow

Power, H.; Tyvand, Peder A.

doi:10.1007/bf00916428

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“…This problem satisfies D'Alembert's paradox which states that if a steady uniform potential flow goes around a non permeable arbitrary rigid body, then there would be no total force acting on the surface of the body, in the limiting case. Later, Power et al (1992) computed the drag force and virtual mass of a cylindrical porous shell in potential flow. Mainly, the possible applications of these academic studies are in groundwater networks, study of electrostatics, etc.…”

Section: Introductionmentioning

confidence: 99%

Potential Flow Past a Slightly Deformed Porous Circular Cylinder

Bhattacharya

Sekhar

2009

Transp Porous Med

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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 = r 1 (1 + cos mθ), where | | 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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Section: Introductionmentioning

confidence: 99%