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In fluid mechanics, the Taylor–Proudman theorem states that when a solid body is moved slowly within a fluid that is steadily rotated with a high angular velocity Ω {\displaystyle \Omega } , the fluid velocity will be uniform along any line parallel to the axis of rotation. Ω {\displaystyle \Omega } must be large compared to the movement of the solid body in order to make the Coriolis force large compared to the acceleration terms.

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