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We study normal modes for the linear water wave problem in infinite straight channels of bounded constant cross-section. Our goal is to compare semi-analytic normal mode solutions known in the literature for special triangular cross-sections, namely isosceles triangles of equal angle of $$45^{\circ }$$ 45 ∘ and $$60^{\circ }$$ 60 ∘ , see Lamb (Hydrodynamics. Cambridge University Press,...
The problem of controlling a liquid drop suspended in an arbitrary two-dimensional elongational flow with vorticity is revisited. Bentley and Leal (J Fluid Mech 137:219–240, 1986) kept the drop centroid at the stagnation point using a linear proportional control strategy in a four-roll-mill apparatus that projects the drop’s motion onto the stable flow direction of the stagnation point. A nonlinear...
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