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