Corioliseffect in mass flow metering
Abstract
The physical background for the socalled Coriolis mass flow meter is described. The vibration modes of a fluid conveying straight pipe segment are analyzed. These modes deviate in shape from those appearing in the absence of fluid motion. The effect of fluid inertia may be exploited for the purpose of flow measurement. The analysis is performed under a simplifying approximation: the pipe is considered as a beam, the fluid as a moving string. The equations describing the vibrations are derived variationally, with the constraint of a common vibration amplitude of both fluid and pipe. The Lagrange multiplier associated with the constraint gives the interaction force between pipe and fluid. The modes are determined by a perturbation procedure. The analysis shows how the time delay between the vibrations of two appropriately chosen points of the pipe may serve to determine the mass flow rate of the fluid. The precise role of the Coriolis force is considered. The improvements of the used approximation are discussed.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1989
 Bibcode:
 1989STIN...9110258R
 Keywords:

 Coriolis Effect;
 Flow Measurement;
 Flow Velocity;
 Mass Flow;
 Flow Equations;
 Pipe Flow;
 Rotating Environments;
 Vibration Mode;
 Fluid Mechanics and Heat Transfer