Civil Engineering Reference
In-Depth Information
2
Mathematical Modeling
of Hydraulic Transients in
Simple Systems
contents
2.1 Introduction ......................................................................................................................26
2.2 Materials and Methods .....................................................................................................27
2.2.1 Field and Lab Tests for Disinfection of Water Transmission Lines......................27
2.2.2 Case Processing Summary ....................................................................................29
2.2.3 Variable Processing Summary ..............................................................................30
2.2.4 Model Summary and Parameter Estimates ...........................................................30
2.3 Results ..............................................................................................................................31
2.3.1 Comparison of Present research results with other expert's research ................38
2.4 Conclusion ........................................................................................................................39
Keywords ...................................................................................................................................39
References ..................................................................................................................................39
nomenclAtures
λ = coefficient of combination, w = weight
t = time, λ ۪ = unit of length
ρ1 = density of the light fluid (kg/m
3
), V = velocity
ρ2 = density of the heavy fluid (kg/m
3
), C = surge wave velocity in pipe
s = length, f = friction factor
τ = shear stress, H2-H1 = pressure difference (m-H
2
O)
C = surge wave velocity (m/s), g = acceleration of gravity (m/s²)
v2-v1 = velocity difference (m/s),
V
= volume
e = pipe thickness (m), Ee = module of elasticity(kg/m²)
K = module of elasticity of water(kg/m²) , θ = mixed ness integral measure
C = wave velocity(m/s),
σ = viscous stress tensor
u = velocity (m/s),
c = speed of pressure wave (celerity-
m/s)
D = diameter of each pipe (m),
f = Darcy-Weisbach friction factor
θ = mixed ness integral measure,
µ = fluid dynamic viscosity(kg/m.s)
R = pipe radius (m²),
γ = specific weight (N/m³)
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