Flow Induction and Prevention in Noninertial Loops

The liquid oscillation mechanism in closed loops that undergo arbitrary accelerations (translational and rotational) was investigated in this paper. The results show that only the Euler force (rather than translational acceleration force, centrifugal force, or Coriolis force) contributes to macroscopic flow in the loop. A concise equation is derived, showing that the driving force of the flow induced by the loop’s motion is equal to twice the negative angular acceleration flux enclosed by the loop. It is similar to Faraday’s law of induction in electromagnetism, and it also follows the right-hand rule. Based on this result, general guidance on how to restrain the influence of structure motion on inner flow is provided. In particular, loops with a “Möbius strip” configuration are capable of completely preventing induced flow in any motion mode of the rigid structures without introduction of extra flow resistance.