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The low Reynolds number flow in a tube with helically corrugated wavy wall is solved for the first time. The Navier–Stokes equations are perturbed using the small wavy amplitude as parameter. For given pitch λ there exists an optimum number of circumferential waves n where the resistance is minimum. For given n there exists an optimum λ where the induced axial rotation of the flow is maximum.
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C. Y. Wang (2006) studied this question.
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