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A generalized reciprocal theorem for predicting the force and torque on bodies moving in an unhomogeneous flow at arbitrary reynolds number

Abstract : We present the main ideas behind the derivation and some applications of a theorem that parallels Lorentz's reciprocal theorem and provides general expressions for the force and torque acting on a rigid body of arbitrary shape moving in an inhomogeneous incompressible flow at arbitrary Reynolds number. We show that this theorem allows a clear physical interpretation of the various contributions to the loads and encompasses all results available in both limits of inviscid and creeping flows.
Keywords : Fluid mechanics
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https://hal.archives-ouvertes.fr/hal-00910910
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Submitted on : Thursday, November 28, 2013 - 2:31:31 PM
Last modification on : Tuesday, June 2, 2020 - 6:04:45 PM
Long-term archiving on: : Monday, March 3, 2014 - 6:00:41 PM

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  • HAL Id : hal-00910910, version 1
  • OATAO : 10248

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Jacques Magnaudet. A generalized reciprocal theorem for predicting the force and torque on bodies moving in an unhomogeneous flow at arbitrary reynolds number. 23rd International Conference on Theoretical and Applied Mechanics, Aug 2012, Beijing, China. ⟨hal-00910910⟩

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