Note Pointed Taylor Bubble Revisited
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Rise velocity of a spherical cap bubble By DANIEL
where R = D/2 is the radius of the cap, ρ and ν are the density and kinematic viscosity of the liquid, σ is surface tension, r(θ) = R(1 + sθ) and s = r ′′(0)/D is the deviation of the free surface from perfect sphericity r(θ) = R near the stagnation point θ = 0. The bubble nose is more pointed when s < 0 and blunted when s > 0. A more pointed bubble increases the rise velocity; the blunter bubb...
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