Assignment 102
Delp10
FrictionandlossesinPipes.pdf
Friction and losses in Pipes
∆𝑃𝐿 𝑡ℎ= 𝜌𝑔ℎ𝐿
ℎ𝐿 = 𝑓 𝐿
𝐷
𝑣2
2𝑔
𝑣 = 𝑄° 𝜋 4 𝐷2
𝑅𝑒 = 𝜌𝑣𝐷
𝜇
𝑅𝑒 < 2300 𝑙𝑎𝑚𝑖𝑛𝑎𝑟 𝑓 = 64
𝑅𝑒
𝑅𝑒 > 4000 𝑡𝑢𝑟𝑏𝑙𝑒𝑛𝑡 1
𝑓 = −2𝑙𝑜𝑔
𝜀/𝐷
3.7 +
2.51
𝑅𝑒 𝑓
∆𝑃𝐿 𝑒𝑥𝑝= 𝜌𝑔(ℎ1 − ℎ2)
%𝐸 = 𝐸𝑥𝑝𝑒𝑟𝑖𝑚𝑒𝑛𝑡𝑎𝑙 − 𝑇ℎ𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙
𝑇ℎ𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙 × 100
Theoretical
Experimental
4
𝑄°(L/h) 𝑄°(𝑚3/s) ℎ1-ℎ2 (𝑚) v Re f ℎ𝐿 ∆𝑃𝐿 𝑡ℎ ∆𝑃𝐿 𝑒𝑥𝑝 %𝐸
1000 0.240
1600 0.280
2000 0.485
Rough pipe 2
Smooth pipe 5
𝜌 = 1000 𝑘𝑔/𝑚3
𝜇 = 1.002 ∗ 10−3𝑁.𝑠/𝑚
𝜀 = 0.15 𝑚𝑚
𝜀 = 0
𝐿 = 1 𝑚
𝐷 = 17 𝑚𝑚
𝐷 = 16.5𝑚𝑚
𝑄°(L/h) 𝑄°(𝑚3/s) ℎ1-ℎ2 (𝑚) v Re f ℎ𝐿 ∆𝑃𝐿 𝑡ℎ ∆𝑃𝐿 𝑒𝑥𝑝 %𝐸
1000 0.126
1600 0.245
2000 0.420
5
Rough pipe 2
0
1000
2000
3000
4000
5000
6000
0.00E+00 1.00E-04 2.00E-04 3.00E-04 4.00E-04 5.00E-04 6.00E-04
Δ P
( P
a )
Flow rate (m^3/s)
ΔP Rough pipe
ΔP th (Pa) ΔP Exp (Pa)
0%
5%
10%
15%
20%
25%
30%
0.00E+00 1.00E-04 2.00E-04 3.00E-04 4.00E-04 5.00E-04 6.00E-04
E rr
o r
%
Flow rate (m^3/s)
%Error Rough pipe
𝑄°(L/h) 𝑄°(𝑚3/s) ℎ1-ℎ2 (𝑚) v Re f ℎ𝐿 ∆𝑃𝐿 𝑡ℎ ∆𝑃𝐿 𝑒𝑥𝑝 %𝐸
1000
1600
2000
6
Smooth pipe 5
0
100
200
300
400
500
0.00E+00 1.00E-04 2.00E-04 3.00E-04 4.00E-04 5.00E-04 6.00E-04
Δ P
( P
a )
Flow rate (m^3/s)
ΔP Smooth pipe
ΔP th (Pa) ΔP Exp (Pa)
0%
1%
2%
3%
4%
5%
6%
7%
8%
9%
0.00E+00 1.00E-04 2.00E-04 3.00E-04 4.00E-04 5.00E-04 6.00E-04
E rr
o r
%
Flow rate (m^3/s)
%Error Smooth pipe
𝑄°(L/h) 𝑄°(𝑚3/s) ℎ1-ℎ2 (𝑚) v Re f ℎ𝐿 ∆𝑃𝐿 𝑡ℎ ∆𝑃𝐿 𝑒𝑥𝑝 %𝐸
1000
1600
2000
