ENVE 204
Lecture -2
Pipelines and Pipe Networks-I
(Pipelines connecting two reservoirs; Solution procedures for Type I, Type II, Type III problems)
Assist. Prof. Neslihan SEMERCİMarmara University
Department of Environmental Engineering
Assist. Prof. Neslihan Semerci
Friction Head Loss (hf) and Discharge (Q)Relationships
hf = RQx
X:dimensionless
R:dimension depends on the friction equation and the unit system chosen.
Assist. Prof. Neslihan Semerci
Darcy-Weisbach Equation
hf =fL(Q/A)2
2gD=
fLQ2
2gDA2=
fL
2gDA2Q2
Assist. Prof. Neslihan Semerci
R
hf = RQ2
Hazen Williams EquationV = B. C. Rh
0.63. S0.54
Q = A. Vhf =L
C1.85. D4.87.7.88
B1.85.Q1.85
hf =L
C1.85.D4.87.7.88
B1.85.Q1.85
Assist. Prof. Neslihan Semerci
Rhazen-williams
hf = RHazen−W. Q1.85
Manning’s Equation
V =1
n.Rh
2/3. S1/2
Q = A.B
n.Rh
2/3. S1/2
hf =10.29
B2.L.n2
D5.33.Q2
Assist. Prof. Neslihan Semerci
Rmanning’ shf = Rmanning′s. Q
2
PIPELINES and PIPE NETWORKS
Assist. Prof. Neslihan Semerci
Calculations Involved in Pipeline Problems: Head Loss
Assist. Prof. Neslihan Semerci
Calculations Involved in Pipeline Problems: Friction factor
Assist. Prof. Neslihan Semerci
Calculations Involved in Pipeline Problems: Friction factor
22.10.2012 - Assist. Prof. Neslihan Semerci
Calculations Involved in Pipeline Problems: Friction factor
22.10.2012 - Assist. Prof. Neslihan Semerci
Head Losses in Reservoir Problems:
22.10.2012 - Assist. Prof. Neslihan Semerci
Head Losses in Reservoir Problems:
Assist. Prof. Neslihan Semerci
Example : Diameter D and flowrate Q known, determine the head loss
Assist. Prof. Neslihan Semerci