2022
DOI: 10.48550/arxiv.2204.12240
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Resolution of d'Alembert's paradox using slip boundary conditions: The effect of the friction parameter on the drag coefficient

Ingeborg G. Gjerde,
L. Ridgway Scott

Abstract: d'Alembert's paradox is the contradictory observation that for incompressible and inviscid (potential) fluid flow, there is no drag force experienced by a body moving with constant velocity relative to the fluid. This paradox can be straightforwardly resolved by considering Navier's slip boundary condition. Potential flow around a cylinder then solves the Navier-Stokes equations using friction parameter β = −2ν. This negative friction parameter can be interpreted physically as the fluid being accelerated by th… Show more

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