Hagen-Poiseuille flow

Steady pressure-driven flow through a circular pipe has the parabolic profile

w (r) = - \frac{1}{4 μ} \frac{d p}{d z} (R^{2} - r^{2}) .

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Control-volume drag formula for a sphere in a tube
Load sharing between co-moving spheres in a tube
Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 49 / 3 / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 77 / 3 / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 77 / 3 / i / Solution
Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 78 / 2 / b / Solution
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Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 329 / 3 / c / Solution
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Three drag regimes for a nearly occluding sphere

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