Applied Hydraulic Transients: Automation and Advanced Control - Advances in Control and Automation of Water Systems - page 124

ρ--density (kg/m 3 ), C-velocity of surge wave (m/s), g--acceleration of gravity (m/
s²), ΔV--changes in velocity of water (m/s), d--pipe diameter(m), T--pipe thickness
(m), Ep--pipe module of elasticity ((kg/m 2 ), Ew--module of elasticity of water ((kg/
m 2 ), C1--pipe support coefficient, T--Time (sec), Tp--pipe thickness (m). Regres-
sion software has fitted the function curve and provided regression analysis. Hence the
model has been found in the final procedure. By this model, Research Field Tests and
lab model results have been compared in the final procedure. This is another practi-
cal aim of present chapter. So a Condition Base Maintenance (CM) method has been
founded for all water transmission systems [4-6].
7.2 mAteriAls And metHods
Present chapter has investigated fluid condition by fluid pressure variations. The inter-
penetration between the mixture components could be regarded as a combination of the
diffusing process and remixing process. If the former dominates the interpenetration,
it is miscible; otherwise, it is immiscible. The complex microscopic interplay between
the mixture components makes the simulation highly challenging. So far, there have
been some dedicated reports in computer graphics dealing with immiscible mixtures,
but only few works focused on miscible mixtures. Regression Equations have showed
relation between two or many physical units of variables. For example, there was a
relation between volume of gases and their internal temperatures. The main approach
in this research was investigation of relation between: P--surge pressure (as a func-
tion or dependent variable with nomenclature “Y”) and several factors (as indepen-
dent variables with nomenclature “X”) such as: ρ--density (kg/m³), C--velocity of
surge wave (m/s), g--acceleration of gravity (m/s²), ΔV--changes in velocity of water
(m/s), d--pipe diameter (m), T--pipe thickness (m), Ep--pipe module of elasticity
((kg/m²), Ew--module of elasticity of water ((kg/m²), C1--pipe support coefficient,
T--Time (sec), Tp--pipe thickness (m), (for fluid at water hammer condition) [7-8].
7.3 results And discussion
(a) Research focus attention on the steam-water flows that may occur during transients
formed in pressurized-water pipeline. The method presented is applicable to liquid-
solid and liquid-liquid flows as well.
(b) The Laboratory has handled the development of sophisticated numerical tech-
niques for analysis of multiphase flows and in the construction of computer codes
based on these techniques (Table 7.1).
(c) When collisions dominate a region with many macro particles, those macro
particles can be merged, and their fluid like behavior modeled with a hydrodynamics
calculation.
(d) Equations were solved numerically by the MOC. Transient analysis has solved
transient flow in pipes for range of approximate equations to numerical solutions of
the nonlinear Navier-Stokes equations.