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LOCAL HEAD LOSS IN PLASTIC PIPELINE JOINT WELDED BY ...

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very good agreement between measured values of<br />

the friction factor, λ, and computed ones from Eq.<br />

(3). The results in Fig. 7 show practically constant<br />

value of the local loss coefficient ζ = 0.6 for measured<br />

values of the Reynolds number within a range<br />

of 6.10 4 < Re < 5.10 5 and/or flow velocity 0.77<br />

m s -1 < c < 6.39 m s -1 . According to Kolář and Vinopal,<br />

(1963) value of the local loss coefficient for<br />

a sharp-edged normalised orifice with the same<br />

ratio d0/d = 0.87 is around 1.0, which is by 67 %<br />

greater than the actual measured values of the tube<br />

joints with butt welds. However, according to Idelčik<br />

(1960) this value is only 0.6. It must be pointed<br />

out that the sharp-edged normalised orifice and the<br />

tube joints are quite different pipeline elements and<br />

hence using of more accurate measured value is<br />

justified.<br />

In design practice it may be much easier to work<br />

with equivalent pipe length, le. This is the length of<br />

straight pipeline of the same diameter as the fitting,<br />

which would have the same pressure drop as the<br />

fitting, in our case the pipeline joint with the inner<br />

butt weld. Considering the condition Yz f = Yz l from<br />

Eqs. (1) and (8) the equivalent pipeline length can<br />

be computed as follows:<br />

ζ<br />

le = . d.<br />

(10)<br />

λ<br />

Using Eqs. (10) and (3) for the friction factor λ<br />

and considering pipe diameter and experimentally<br />

0.04<br />

0.03<br />

λ (1) 0.02<br />

Local head loss in plastic pipeline joint welded by butt fusion<br />

determined value ζ = 0.6 the equivalent length of<br />

pipe can be computed. For the above-mentioned<br />

range of flow velocity c through pipeline 90 x 8.2<br />

βPP-H S5/SDR11 the value of the equivalent pipe<br />

length varied from le = 2.23 to 3.33 m. These values<br />

show that the local losses represent important part<br />

of the total losses. This is significant in particular<br />

for long PP pipeline systems. For examples in pipeline<br />

90 x 8,2 βPPH S5/SDR11 with the length of<br />

100 m inner projections of nineteen butt-welded<br />

joints may cause the increase of head losses from<br />

42 to 63 % for the above-mentioned Reynolds<br />

numbers in comparison with the same pipeline<br />

without butt welds.<br />

The geometry of inner projections of the buttwelding<br />

joints in PE tube is rather different. The<br />

ration of d/d0 is approximately the same as for PP<br />

tube joints. The expected projection width b depends<br />

on wall thickness and for the same inner<br />

diameter and wall thickness is for PP tube and PE<br />

tube approximately identical. However, the PE tube<br />

projections have more rounded edge, which leads to<br />

assumption of lower basic local loss coefficient<br />

value in the PE tube joints. It should be pointed out<br />

that correct values of the local loss coefficient ζ<br />

could be determined only experimentally using the<br />

PE tube etalon joints.<br />

Experimental data<br />

Advani Eq. 3<br />

Blasius Eq. 2<br />

5x10<br />

Re (1)<br />

4 5x105 105 0.01<br />

Fig. 6. Measured and computed values of the friction factors in straight pipeline test section of length l 12 in dependence on the<br />

Reynolds number.<br />

Obr. 6. Porovnání naměřených a vypočtených hodnot součinitelů tření v přímém potrubí délky l 12 v závislosti na Reynoldsově čísle.<br />

305

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