Discussion
In fluid dynamics, d'Alembert's paradox refers to which one of the following?
Answer: C
d'Alembert's paradox is the prediction of zero drag by potential flow theory.
In 1752 d'Alembert showed that steady, inviscid, incompressible, irrotational flow past a body gives a pressure distribution symmetric front to back, so the net drag is zero, contrary to every experiment. The paradox is resolved by viscosity: the boundary layer and flow separation create skin friction and pressure drag, which an inviscid theory leaves out.
Departures of drag from \(D \propto v^{2}\) at low speeds (Stokes flow) or high subsonic speeds (drag divergence) are real effects with other names, and shocks in transonic flow are a compressibility effect, not a paradox of potential flow.
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