OurBigBook.comSite Source code

Potential flow around a circular cylinder

Uniform irrotational flow of speed

U

past a circular cylinder of radius

a

, with zero circulation, has velocity potential

ϕ = U (r + \frac{a ^{2}}{r}) cos θ .

On the cylinder, the tangential speed is

- 2 U sin θ

, so the Bernoulli equation gives

p (a, θ) = p_{\infty} + \frac{1}{2} ρ U^{2} (1 - 4 sin^{2} θ) .

 Ancestors (5)

 Incoming links (2)