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Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 77 / 3 / b

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2014 iii Paper 77 3
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b
On the axis of an identical stresslet, r=ℓe gives velocity Se/(4πμℓ2), while the point on the opposite axis has its negative. Their identical intrinsic swimming velocities cancel from the relative motion. The axial repulsion of pusher stresslets obeys
ℓ˙=2πμℓ2S​>0,ℓ(t)=(ℓ03​+2πμ3S​t)1/3.​
(1)
This point-singularity approximation assumes the bodies are separated by distances large compared with their own sizes.

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