An Efficient Accurate Shock-capturing Scheme for Modeling Water Hammer Flows - Advances in Control and Automation of Water Systems - page 89

6

An Efficient Accurate
Shock-capturing Scheme
for Modeling Water
Hammer Flows

contents

6.1 Introduction and Overview ...............................................................................................90
6.2 Materials and Methods .....................................................................................................92
6.2.1 Possible cause .......................................................................................................92
6.2.2 Modeling and Simulations of Water Hammer ......................................................94
6.3 Results and Discussion ....................................................................................................97
6.3.1 Regression Analysis ..............................................................................................98
6.3.2 Comparison of Present Research Results with other Expert's Research ............117
6.3.2.1 Wylie, E. B., and Streeter, V. L., 1982 .................................................117
6.3.2.2 Arris S Tijsseling, Alan E Vardy, 2002 ................................................117
6.3.2.3 Ghidaoui and, León Et Al., 2005 .........................................................117
6.3.2.4 Arturo S. Leon, 2007 ...........................................................................118
6.3.2.5 Apoloniusz Kodura, Katarzyna Weinerowska, 2005 ...........................118
6.4 Conclusion ......................................................................................................................118
Keywords .................................................................................................................................119
References ................................................................................................................................119

nomenclAtures
λ = coefficient of combination,

w = weight

t = time, λ ۪= unit of length

ρ1 = density of the light fluid (kg/m3), V = velocity

ρ2 = density of the heavy fluid (kg/m3), C = surge wave velocity in pipe

s = length, f = friction factor

τ = shear stress, H2-H1 = pressure difference (m-H2O)

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