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.