
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.)
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.)




