In the experiment, the relationship between the flow coefficient C and the Reynolds number Re can be determined by the following steps:
Experimental setup: Use a centrifugal pump to send water from the water storage tank to the experimental pipeline, return to the return bucket after passing through the flow meter, and finally return to the water storage tank. The upstream and downstream pressure difference of the flowmeter is measured by a U-tube differential pressure gauge.
Measurement method: By changing the flow rate, measure the pressure difference and flow rate at different flow rates, and calculate the flow coefficient C and Reynolds number Re. On the single logarithmic coordinate paper, with Re as the horizontal coordinate and C as the vertical coordinate, draw the C-Re relationship curve.
Definition and physical meaning of Reynolds number:
Reynolds number (Re) is a dimensionless number used to characterize the characteristics of fluid flow. The calculation formula is:
[ \text{Re} = \frac{\rho v d}{\mu} ]
Wherein, ( \rho ) is the fluid density, ( v ) is the characteristic velocity (such as flow velocity), ( d ) is the characteristic length (such as pipe diameter), and ( \mu ) is the dynamic viscosity. The Reynolds number represents the ratio of the inertial force to the viscous force of the fluid micro-group. The smaller the Reynolds number, the more significant the effect of the viscous force; the larger the Reynolds number, the more significant the effect of the inertial force.
Relationship between the instrument constant of the flow meter and the Reynolds number:
The instrument constant of the flow meter is closely related to the Reynolds number. The Reynolds number is an important parameter to characterize the flow characteristics of the fluid, which affects the flow velocity distribution and the accuracy of the flow measurement. By experimentally determining the relationship curve between the flow coefficient and the Reynolds number, we can better understand and correct the measurement results of the flow meter and ensure the accuracy of the measurement.
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