Method and system for multi-path ultrasonic flow rate measurement
In one embodiment, a multi-path ultrasonic flow meter for determining the flow rate of a fluid in a conduit is disclosed comprising at least two transducer pairs attached to the conduit at two chord locations, one greater than and one less than a mid-radius chord, wherein the composite ratio the two path velocities to the flow rate is substantially constant over the range of Reynolds numbers. In another embodiment, a method of determining the flow rate of a fluid in a conduit is disclosed comprising the steps of determining a composite velocity by determining a weighted average of a plurality of path velocities, determining a chord velocity ratio based on the path velocities, determining a profile correction factor based on the composite velocity and the chord velocity ratio, and determining the flow rate based on the composite velocity and the profile correction factor.
1. A multi-path ultrasonic flow meter for determining the flow rate of a fluid in a conduit comprising:
said conduit having a mid-radius chord location where the ratio of the path velocity of said fluid averaged along said mid-radius chord to said flow rate is substantially constant over a range of Reynolds numbers;
a first transducer pair attached to said conduit forming a first ultrasonic path at a first chord location at a first distance from the center of said conduit, wherein said first distance is greater than the distance of said mid-radius chord to said center;
a second transducer pair attached to said conduit forming a second ultrasonic path at a second chord location at a second distance from said center of said conduit, wherein said second distance is less than said distance of said mid-radius chord to said center;
flow electronics for determining a first path velocity of said fluid averaged along said first ultrasonic path and a second path velocity of said fluid averaged along said second ultrasonic path, wherein the composite ratio of said first path velocity and said second path velocity to said flow rate is substantially constant over said range of Reynolds numbers.
2. The multi-path ultrasonic flow meter of claim 1 , further comprising:
a third transducer pair attached to said conduit forming a third ultrasonic path at a third chord location at a third distance from said center of said conduit, wherein said third distance is greater than said distance of said mid-radius chord to said center;
said flow electronics for determining a third path velocity of said fluid averaged along said third ultrasonic path, wherein the composite ratio of said first path velocity, said second path velocity, and said third path velocity to said flow rate is substantially constant over said range of Reynolds numbers.
3. The multi-path ultrasonic flow meter of claim 1 , further comprising:
a third transducer pair attached to said conduit forming a third ultrasonic path at a third chord location at a third distance from said center of said conduit, wherein said third distance is less than said distance of said mid-radius chord to said center;
said flow electronics for determining a third path velocity of said fluid averaged along said third ultrasonic path, wherein the composite ratio of said first path velocity, said second path velocity, and said third path velocity to said flow rate is substantially constant over said range of Reynolds numbers.
4. The multi-path ultrasonic flow meter of claim 1 , wherein said range of Reynolds numbers is from 2,000 to 2,000,000.
5. The multi-path ultrasonic flow meter of claim 1 , wherein said range of Reynolds numbers is from 2,000 to 500,000.
6. A method of determining the chord locations for a multi-path ultrasonic flow meter for determining the flow rate of a fluid in a conduit comprising the steps of:
determining a mid-radius chord location in said conduit where the ratio of the path velocity of said fluid averaged along said mid-radius chord to said flow rate is substantially constant over a range of Reynolds numbers;
determining a first chord location of a first transducer pair attached to said conduit forming a first ultrasonic path at a first distance from the center of said conduit, wherein said first distance is greater than the distance of said mid-radius chord to said center;
determining a second chord location of a second transducer pair attached to said conduit forming a second ultrasonic path at a second distance from said center of said conduit, wherein said second distance is less than said distance of said mid-radius chord to said center;
determining a first path velocity of said fluid averaged along said first ultrasonic path and a second path velocity of said fluid averaged along said second ultrasonic path, wherein said first chord location and said second chord location are selected such that the composite ratio of said first path velocity and said second path velocity to said flow rate is substantially constant over said range of Reynolds numbers.
7. The method of claim 6 , further comprising the steps of:
determining a third chord location of a third transducer pair attached to said conduit forming a third ultrasonic path at a third distance from said center of said conduit, wherein said third distance is greater than said distance of said mid-radius chord to said center;
determining a third path velocity of said fluid averaged along said third ultrasonic path, wherein said third chord location is selected such that the composite ratio of said first path velocity, said second path velocity, and said third path velocity to said flow rate is substantially constant over said range of Reynolds numbers.
8. The method of claim 6 , further comprising the steps of:
determining a third chord location of a third transducer pair attached to said conduit forming a third ultrasonic path at a third distance from said center of said conduit, wherein said third distance is less than said distance of said mid-radius chord to said center;
determining a third path velocity of said fluid averaged along said third ultrasonic path, wherein said third chord location is selected such that the composite ratio of said first path velocity, said second path velocity, and said third path velocity to said flow rate is substantially constant over said range of Reynolds numbers.
9. The method of claim 6 , wherein said range of Reynolds numbers is from 2,000 to 2,000,000.
10. The method of claim 6 , wherein said range of Reynolds numbers is from 2,000 to 500,000.
11. A method of determining the flow rate of a fluid in a conduit comprising the steps of:
determining the path velocities of said fluid averaged along a plurality of ultrasonic paths formed by a plurality of transducer pairs at a plurality of chord locations;
determining a composite velocity by determining a weighted average of said path velocities;
determining a chord velocity ratio based on said path velocities;
determining a profile correction factor based on said composite velocity and said chord velocity ratio; and
determining said flow rate based on said composite velocity and said profile correction factor.
12. The method of claim 11 , wherein said step of determining said composite velocity uses equal weights for said path velocities.
13. The method of claim 11 , wherein said step of determining a profile correction factor based on said composite velocity and said chord velocity ratio comprises the step of retrieving said profile correction factor in a table.
14. The method of claim 11 , wherein said step of determining said flow rate based on said composite velocity and said profile correction factor, includes multiplying said composite velocity by said profile correction factor.