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Research Papers: Flows in Complex Systems

Computational Modeling and Simulation of a Single-Jet Water Meter

[+] Author and Article Information
Gorka S. Larraona, Alejandro Rivas, Juan Carlos Ramos

Thermal and Fluids Engineering Division, Mechanical Engineering Department, Tecnun (University of Navarra), Manuel de Lardizábal 13, 20018 San Sebastián, Spain

J. Fluids Eng 130(5), 051102 (Apr 25, 2008) (12 pages) doi:10.1115/1.2911679 History: Received June 13, 2007; Revised February 05, 2008; Published April 25, 2008

A single-jet water meter was modeled and simulated within a wide measuring range that included flow rates in laminar, transitional, and turbulent flow regimes. The interaction between the turbine and the flow, on which the operating principle of this kind of meter is based, was studied in depth from the detailed information provided by simulations of the three dimensional flow within the meter. This interaction was resolved by means of a devised semi-implicit time-marching procedure in such a way that the speed and the position of the turbine were obtained as part of the solution. Results obtained regarding the turbine’s mean rotation speed, measurement error, and pressure drop were validated through experimental measurements performed on a test rig. The role of mechanical friction on the performance of the meter at low flow rates was analyzed and interesting conclusions about its influence on the reduction of the turbine’s rotation speed and on the related change in the measurement error were drawn. The mathematical model developed was capable of reproducing the performance of the meter throughout the majority of the measuring range, and thus was shown to be a very valuable tool for the analysis and improvement of the single-jet water meter studied.

Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

Geometry of the single-jet water meter studied

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Figure 3

Flow domain and boundary conditions. (Pressure and shear forces exerted by the flow on the turbine are also depicted.)

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Figure 4

Computational mesh with details of the moving mesh zone and the nonconformal mesh connecting the chamber and the outlet pipe

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Figure 5

Flow diagram of the semi-implicit time-marching procedure devised to handle turbine-flow interaction

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Figure 6

Schematic of the experimental test rig

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Figure 7

Detail of the flow with 3000l∕h. Velocity (left) and static pressure (right) in a midheight plane at different positions of the turbine.

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Figure 1

Single-jet water meter: schematic of the operating principle (left) and typical error and pressure drop curves (right)

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Figure 8

Static pressure variation between the outlet and the inlet of the meter during a period (Q=3000l∕h)

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Figure 9

Periodical turbine-flow interaction (Q=3000l∕h): (a) torque exerted on each vane and (b) total torque and rotation speed of the turbine

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Figure 10

Dimensionless torque and rotation speed curves with different flow rates: in turbulent regime ((a) and (c)) and in transitional and laminar regimes ((b) and (d))

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Figure 11

Mean rotation speed of the turbine. Measured versus calculated values.

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Figure 12

Mean pressure drop. Measured versus calculated values.

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Figure 13

Error curve. Measured versus calculated values.

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Figure 14

Reduction in the mean speed of the turbine as a function of mechanical resistance torque (TMR)

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Figure 15

Comparison between experimental and calculated values of measurement error and mean rotation speed with different mechanical resistance torques (TMR)

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