If a cylindrical body is placed in two-dimensional potential flow of fluid suspending small particles, the proportion of captured particles by the body (α) is a function of
V/
KR only, where
V is the velocity of fluid at infinity,
R the radius of the cylindre,
K=9/2μ/ρα
2, μ the viscosity of fluid, and α and ρ the radius and the density of suspended particles respectively. The equation of motion of particle is not soluble directly. But when
V/
KR is sufficiently greater or smaller than unity, an approximate integration is possible. By this way the author found that α is practically zero when
V/
KR<1/10, and is nearly equal to unity when
V/
KR>10. The results were also applied to the problem of ice formation on aircraft.
View full abstract