HydrauliCAD, Epanet in Autocad hydraulic analysis design program


Hydraulic Analysis Software
for the Design, Simulation and Management of Water System Pipe Networks
all within the Total AutoCAD ™ Environment
Using the industry - proven EPANET ™ Hydraulic Analysis Engine

In addition to bulk flow reactions, HydrauliCAD accesses the EPANET engine to model reactions that occur with material on or near the pipe wall. The rate of this reaction can be considered to be dependent on the concentration in the bulk flow by using an expression of the form

where Kw = a wall reaction rate coefficient and (A / V) = the surface area per unit volume within a pipe (equal to 4 divided by the diameter). The latter term converts the mass reacting per unit of wall area to a per unit volume basis. EPANET limits the wall reaction order (n) to either 0 or 1, so that the units of Kw are either mass/area/time or length/time, respectively.
The parameter Kw appearing in the above rate expression should be adjusted to account for any mass transfer limitations in moving reactants and products between the bulk flow and the wall. EPANET does this automatically, basing the adjustment on the molecular diffusivity of the substance being modeled and on the flow's Reynolds number. (Setting the molecular diffusivity to zero will cause mass transfer effects to be ignored.)

The wall rate coefficient can depend on temperature and can also be correlated to pipe age and material.

It is well known that as metal pipes age their roughness tends to increase due to encrustation and tuburculation of corrosion products on the pipe walls. This increase in roughness produces a lower Hazen-Williams C-factor or a higher Darcy-Weisbach roughness coefficient, resulting in greater frictional headloss in flow through the pipe.
There is some evidence to suggest that the same processes that increase a pipe's roughness with age also tend to increase the reactivity of its wall with some chemical species, particularly chlorine and other disinfectants. EPANET can make each pipe's wall reaction coefficient (Kw) be a function of the coefficient used to describe its roughness. A different function applies depending on the formula used to compute headloss through the pipe:

Headloss Formula Wall Reaction Formula
Hazen-Williams Kw = F / C
Darcy-Weisbach Kw = -F / log(e/d)
Chezy-Manning Kw = F* N
where

C = Hazen-Williams C-factor

e = Darcy-Weisbach roughness
d = pipe diameter
N = Manning roughness coefficient
F = wall reaction - pipe roughness coefficient

The coefficient F must be developed from site-specific field measurements and will have a different meaning depending on which headloss equation is used. The advantage of using this approach is that it requires only a single parameter, F, to allow wall reaction coefficients to vary throughout the network in a physically me

Bulk Flow Reaction Rates

Bulk flow reactions are reactions that occur in the main flow stream of a pipe or in a storage tank, unaffected by any processes that might involve the pipe wall. HydrauliCAD accesses the EPANET engine to model these reactions using n-th order kinetics, where the instantaneous rate of reaction (R in mass/volume/time) is assumed to be concentration-dependent according to


where Kb = a bulk rate coefficient, C = reactant concentration (mass/volume), and n = a reaction order. Kb has units of concentration raised to the (1-n) power divided by time. It is positive for growth reactions and negative for decay reactions

EPANET can also consider reactions where a limiting concentration exists on the ultimate growth or loss of the substance. In this case the rate expression for a growth reaction becomes


where CL = the limiting concentration. (For decay reactions (CL - C) is replaced by (C - CL).)

Thus there are three parameters (Kb, CL, and n) that are used to characterize bulk reaction rates. General values can be selected for these parameters that lead to several well-known kinetic models. These include:

Simple First-Order Decay (Kb < 0, CL = 0, n = 1)
First-Order Saturation Growth (Kb > 0, CL > 0, n = 1)
Two-Component, Second-Order Decay (Kb < 0, CL ¹ 0, n = 2)
Michaelis-Menton Kinetics (Kb ¹ 0, CL > 0, n < 0)

Bellingham WA, USA., Vancouver BC, Canada

Epanet is a registered trademark, Autodesk, and AutoCAD are registered trademarks of Autodesk, Inc.

Simulation and Management of Water System Pipe Networks...............Simulation and Management of Water System Pipe Networks
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