Sheet E4 · Experimental validation · CALIBRATED

Steel and HDPE in series: 7 configurations (Warsaw)

Source : Kubrak et al., Water 2022, 14, 3107 (open access, CC BY 4.0), table 1 and figure 5

1. The question

When a steel pipe is extended with HDPE, the pressure rise drops as the HDPE length grows. After a single adjustment on the all-steel pipe, does CBELIER predict the pressure rise of the six other configurations?

2. The case

pressurised tanksteel, variable LSHDPE, 48.1 m − LSvalveoutlet

A pressurised 48.1 m test rig: 53 mm steel on the reservoir side, HDPE on the valve side, in varying proportions (7 configurations). The valve closes quickly; the maximum pressure rise relative to the initial head, ΔHmax/H0, is compared.

3. Data and status

DataValueStatus
Total length; steel lengths LS48.1 m; table 1PUBLISHED
Steel: D, wave speed53 mm; 1,195 m/sPUBLISHED
HDPE: wave speed; Kelvin-Voigt J, τ300 m/s; 2.2·10⁻¹⁰ Pa⁻¹, 0.034 sPUBLISHED
Flow; initial head0.917 L/s; 42 mPUBLISHED
HDPE diameter: 32 mm written, 35.3 mm derived from the velocitiesbothDERIVED
Measured ΔHmax/H0 (figure 5, ± 0.02)7READ FROM FIGURE
Closure time tc, on configuration no. 7 (steel only)0.1 sCALIBRATED

4. Results

1.71.81.92.02.11020304050steel length LS (m)ΔHmax / H0CBELIER, HDPE 32 mmmeasurements (fig. 5)CBELIER, HDPE 35.3 mm
Relative maximum pressure rise versus steel length: CBELIER with both HDPE diameters (lines) and measurements (circles). Only configuration no. 7 (LS = 48.1 m) is used for the adjustment.

5. Differences

IndicatorCBELIERReferenceDifference
Maximum predicted difference, no. 1 to 6, HDPE 32 mm5.1 %—target 10 %
Maximum predicted difference, no. 1 to 6, HDPE 35.3 mm9.2 %—target 10 %
Configuration no. 1 (most HDPE), 32 mm1.84 1.75 5.1 %

After a single adjustment on the all-steel pipe, the six other configurations are predicted within 5 % with the written diameter (32 mm) and within 9 % with the derived diameter (35.3 mm). The trend (lower pressure rise with longer HDPE) is reproduced.

6. Limitations and assumptions