A Coriolis mass flow sensor includes a flow tube, a light source, and a
light pipe having a light inlet situated to receive light from the light
source and a light outlet for emitting light received from the light
source. A light detector receives light from the light pipe light
outlet, and a drive device vibrates the flow tube such that the flow
tube moves through a light path between the light outlet of the light
pipe and the light detector. In certain embodiments, the light pipe
defines a generally square cross section. A sensing aperture having a
predetermined shape is situated between the light outlet of the light
pipe and the light detector. The sensing aperture passes a portion of
the light emitted from the light outlet of the light to the light
detector, such that the light entering the light detector has the
predetermined shape.
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is a non-provisional of U.S. Provisional Patent
Application Ser. Nos. 60/481,852 and 60/521,223, filed on Jan. 2, 2004
and Mar. 15, 2004, respectively, which are incorporated by reference
herein.
BACKGROUND
The invention relates generally to a mass flow measurement and control,
and more particularly, to a mass flow measurement and control device
based on the Coriolis force effect.
Mass flow measurement based on the Coriolis force effect is achieved in
the following manner. The Coriolis force results in the effect of a mass
moving in an established direction and then being forced to change
direction with a vector component normal to the established direction of
flow. This can be expressed by the following equation:
F ⇀ C = 2 M ⇀ × ω ⇀
Where
F ⇀ C
• (the Coriolis force vector) is the result of the cross product of
M ⇀
• (the momentum vector of the flowing mass) and
ω ⇀
• (the angular velocity vector of the rotating coordinate system).
In a rotating system, the angular velocity vector is aligned along the
axis of rotation. Using the “Right Hand Rule”, the fingers define the
direction of rotation and the thumb, extended, defines the angular
velocity vector direction. In the case of the typical Coriolis force
flow sensor, a tube, through which fluid flow is to be established, is
vibrated. Often the tube is in the shape of one or more loops. The loop
shape is such that the mass flow vector is directed in opposite
directions at different parts of the loop. The tube loops may, for
example, be “U” shaped, rectangular, triangular or “delta” shaped or
coiled. In the special case of a straight tube, there are two
simultaneous angular velocity vectors that are coincident to the anchor
points of the tube while the mass flow vector is in a single direction.
The angular velocity vector changes directions since, in a vibrating
system, the direction of rotation changes. The result is that, at any
given time, the Coriolis force is acting in opposite directions where
the mass flow vectors or the angular velocity vectors are directed in
opposite directions. Since the angular velocity vector is constantly
changing due to the vibrating system, the Coriolis force is also
constantly changing. The result is a dynamic twisting motion being
imposed on top of the oscillating motion of the tube. The magnitude of
twist is proportional to the mass flow for a given angular velocity.
Mass flow measurement is achieved by measuring the twist in the sensor
tube due to the Coriolis force generated by a fluid moving through the
sensor tube. Typical known devices use pick off sensors comprising
magnet and coil pairs located on the flow tube where the Coriolis
force's induced displacement is expected to be greatest. The coil and
magnet are mounted on opposing structures, for example, the magnet is
mounted on the tube and the coil is mounted on the stationary package
wall. The coil will move through the magnet's field, inducing a current
in the coil. This current is proportional to the velocity of the magnet
relative to the coil.
In low flow applications, however, the tube is relatively small. This
makes it difficult or impossible to mount sensing hardware on the tube
itself. Prior art solutions to sensing the tube vibrations have been
largely unsatisfactory. The present invention addresses shortcomings
associated with the prior art.
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