Modeling Tools for Environmental Engineers and Scientists Episode 10 pptx
Modeling Tools for Environmental Engineers and Scientists Episode 10 pptx
... C
1
and C
2
are the concentrations of cesium in the water column and
the sediment waters, V
1
and V
2
are the volumes of water column and sedi-
ment, W
c
and W
s
are the input rates of cesium and ... Page 279
© 2002 by CRC Press LLC
two- and three-dimensional graphs and animations to visualize the results for
better understanding. For example, Plot3D routine and the Cont...
Modeling Tools for Environmental Engineers and Scientists Episode 7 pptx
... W
9
(6.55)
•
MB equation for dissolved oxygen (C
10
) in a segment of volume V:
V
ᎏ
dC
dt
10
ᎏ
= J(C
10
) – VK
a
(C
s ,10
– C
s
) – Va
10, 9
K
d
C
9
– Va
10, 4
K
N
C
4
ϩ Va
10, 1
(G
P
– D
P
)C
1
– ... are
referred to several textbooks that detail the mechanisms and processes in nat-
ural environmental systems and their modeling and analysis: Thomann and
Mueller, 1987;...
Modeling Tools for Environmental Engineers and Scientists Episode 1 docx
... Pollutant Transport, Prentice
Hall, New Jersey.
Clark, M. M. (1996) Transport Modeling for Environmental Engineers and Scientists,
John Wiley & Sons, New York.
Cutlip, M. B., Hwalek, J. J., ... Matsumoto, M. R., and Webber, A. S. Offline bioregeneration of
granular activated carbon, ASCE J. Env. Eng., 114, 106 3 107 5, 1988.
Gottfried, B. S. (2000) Spreadsheet Tools for...
Modeling Tools for Environmental Engineers and Scientists Episode 2 ppsx
... Software for Read and Read and Read and Read and Read and Read and Read and
developing review review review review review review review
mathematical
models
8 Modeling of Read and Read and Read and ... and Read and Read and Read and Review
of mathematical review review review review
modeling
3 Primer on Read and Read and Review Review
mathematics review re...
Modeling Tools for Environmental Engineers and Scientists Episode 3 pot
... the modeling effort. Modeling projects
may be launched for various reasons, such as those pointed out in Chapter 1.
The scope of the modeling effort will be dictated by the objective(s) and the
expectation(s). ... conditions, and initial values and then
plotting the model outputs as a function of space or time for visual interpre-
tation and comparison with intuition, expect...
Modeling Tools for Environmental Engineers and Scientists Episode 4 pps
... foundation.
The advantage of reducing the formulations to standard mathematical
forms has been pointed out before. For modeling purposes, a wide variety of
environmental systems can be categorized ... mathematical formu-
lations were presented in this chapter. These formulations are integral com-
ponents of mathematical models, and a clear understanding of these
formulations and the...
Modeling Tools for Environmental Engineers and Scientists Episode 5 docx
... where
species A and B are participating: A [ B. The rates of the forward and
1
ᎏᎏᎏᎏ
1 +
10, 000
ᎏ
k
L
g
ᎏ
20
ᎏ
m
L
g
ᎏ
ᎏ
10
1
6
k
m
g
g
ᎏ
0.3
ᎏ
10
g
6
g
ᎏ
ᎏᎏ
5000
ᎏ
k
L
g
ᎏ
΄
ᎏ
10
k
9
g
µg
ᎏ
΅
Chapter ... 04 11/9/01 11 :10 AM Page 100
© 2002 by CRC Press LLC
where v
i
and v
j
are the stoichiometric coefficients in the equation, and
∆G
f
o
are the standard free ene...
Modeling Tools for Environmental Engineers and Scientists Episode 6 ppt
... given data of: τ
1
= 10 days, τ
2
= 5 days, k
1
= 0.2 * 10 – 0.3 = 1.7,
and k
2
= 0.2 * 5 – 0.3 = 0.7,
ᎏ
C
C
2,
i
o
n
ut
ᎏ
=
ᎏ
1+(1
1
.7) (10)
ᎏ
ᎏ
1+(0
1
.7)(5)
ᎏ
= 0.0123
and, hence, the percent ... process
for optimal design and operation.
5.4.2.2 Sparged Tanks
Sparged tanks, in which gas and liquid phases are contacted accompanied
by phase transfers and/ or reaction...
Modeling Tools for Environmental Engineers and Scientists Episode 8 pot
... inexpensive, com-
monly available, easy to learn and use, and very fast and powerful for alge-
braic operations. Applications of Excel
®
in modeling environmental systems
have been well documented ... substitution
beforehand. PDEs can be handled efficiently by Mathematica
®
and MATLAB
®
but with fairly bulky models in the others. Examples of the use of spread-
sheets for solvi...
Modeling Tools for Environmental Engineers and Scientists Episode 9 ppsx
... RK4-se, and the custom procedure, “Equation.” By opening the
procedure sheet for “Equation,” the governing ODE for this problem is
entered in the bottom section, and the parameters and the input and ... result to zero, and solve for x, to give the answer for x to check for the
location of the stagnation point. In line In[1] in Figure 8.39, the general
expression for φ is...
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