Question 12/04

HIGH-VISCOSITY MOTION



Consider two long cylinders kept parallel at fixed distance from each other and rotated by built-in motors in opposite directions, as shown in the figure. The system is immersed in a very viscous liquid. Find the relation between the parameters of the system and the velocity of its propulsion.
(Neglect gravity. Assume low Reynolds number. Solve a two-dimensional problem. Assume that the cylinders are extremely long, and disregard the influence of contraption that holds them together.)



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