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Two dimensional Stokes flow driven by elliptical paddles

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Figure

FIG. 2. Parameters of the jth elliptical stirring rod.
FIG. 3. Maximum absolute error �circular paddleaxis in the boundary velocity for a single �a1=b1=0.3� centered at z=0.5+0i and rotating about its ��1=1, U1=V1=0�, plotted against the number of terms n taken in Eq.�8�
FIG. 5. Streamlines for a paddle of length 0.4, centered zrow:=0.2+0.0i. Top �1=0. Translation �a� in the x-direction, �b� in the y-direction, �c� at a45° angle
FIG. 8. Streamlines for two paddles, each of length 0.4, centered at zfrom left to right:= ±0.4+0.0i
+4

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