Modeling Tools for Environmental Engineers and Scientists Episode 1 docx
Modeling Tools for Environmental Engineers and Scientists Episode 1 docx
... York.
Mackay, D. (19 91) Multimedia Environmental Models, Lewis Publishers, Michigan.
Mackay, D. and Paterson, S. Calculating fugacity, Environ. Sci. & Technol., 15 ,
10 06 10 14, 19 81.
Mackay, D. and Paterson, ... Chem. Eng., 7,
15 3 15 4, 19 90b.
Fetter, C. W. (19 99) Contaminant Hydrogeology, Prentice Hall, New Jersey.
Ford, A. (19 99) Modeling the Environment, Island P...
Modeling Tools for Environmental Engineers and Scientists Episode 5 docx
...
0.02
ᎏ
d
1
ay
ᎏ
΄
3 × 10
6
ft
3
×
Ά
ᎏ
28.3
1
2ft
3
ᎏ
·
10
ᎏ
m
L
g
ᎏ
×
Ά
ᎏ
10 0
1
0
g
mg
ᎏ
·΅
= 21. 2
ᎏ
d
g
ay
ᎏ
1
ᎏᎏᎏᎏᎏ
1 + 200,000
ᎏ
k
L
g
ᎏ
× 10
ᎏ
m
L
g
ᎏ
×
10
–6
ᎏ
m
kg
g
ᎏ
Chapter 04 11 /9/ 01 11: 10 AM ...
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:...
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 ... engineering
field for over 50 years. During the early 19 80s, this process was adapted by
environmental engineers for remediating groundwaters contaminated with...
Modeling Tools for Environmental Engineers and Scientists Episode 3 pot
... calibration and validation, let us use an artificial data set
(adapted from Thomann and Mueller, 19 87):
Distance (mi) 15 10 –5 0 5 10 15
Concentration (mg/L) 0.43 1. 22 3.50 10 .00 4.49 2.02 0. 91
This ... differential equation, of the standard form:
0 = ayЉϩbyЈϩcy (2 .16 )
whose solution can be found from handbooks as:
y ϭ Me
gx
ϩ Ne
jx
(2 .17 )
Chapter 02 11 /9/ 01 9: 31 AM P...
Modeling Tools for Environmental Engineers and Scientists Episode 4 pps
... k
ᎏ
C
i,n
ϩ
2
C
i,n +1
ᎏ
C
i +1, n
– 2C
i,n
+ C
i 1, n
ᎏᎏᎏ
h
2
C
i +1, n
– 2C
i,n
+ C
i 1, n
ᎏᎏᎏ
h
2
f
i 1, j 1
– f
i 1, j 1
– f
i 1, j 1
ϩ f
i 1, j 1
ᎏᎏᎏᎏ
4h
2
Chapter 03 11 /9/ 01 11: 09 AM Page 62
© 2002 ... first
equation for x
1
, the second for x
2
, and the third for x
3
.
x
1
=
ᎏ
b
1
– a
12
a
x
1
2
1
– a
13
x
3
ᎏ
(3.5a)
x
2
=
ᎏ
b
2
– a
21
a
x
2
1...
Modeling Tools for Environmental Engineers and Scientists Episode 6 ppt
... in Equation (5.9), and rearrang-
ing for kτ,
kτ ϭ
ᎏ
C
C
3,o
2
ut
ᎏ
– 1 = 12 .35 – 1 = 11 .35
0.0 01
ᎏᎏ
Ά
ᎏ
C
C
i
1
n
ᎏ
ᎏ
C
C
2
1
ᎏ
·
Chapter 05 11 /9/ 01 11: 23 AM Page 11 2
© 2002 by CRC Press ... 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+...
Modeling Tools for Environmental Engineers and Scientists Episode 7 pptx
... mechanisms and processes in nat-
ural environmental systems and their modeling and analysis: Thomann and
Mueller, 19 87; Nemerow, 19 91; James, 19 93; Schnoor, 19 96; Clark, 19 96;
Thibodeaux, 19 96; Chapra, ... – Va
10 ,9
K
d
C
9
– Va
10 ,4
K
N
C
4
ϩ Va
10 ,1
(G
P
– D
P
)C
1
– S
B
A (6.56)
•
MB equation for chlorides (C
11
) in a segment of volume V:
V
ᎏ
dC
dt
11...
Modeling Tools for Environmental Engineers and Scientists Episode 8 pot
... Ex 8-4 Ex 8 -1; Ex 9 -1
Ex 9-4; Ex 9-8
Mathematica
®
Ex 3 -1; Ex 3-2; Ex 3-3; § 7.5.3; Ex 9 -1
Ex 6-3; Ex 6-4; Ex 8-4
Ex 6-5; Ex 8 -11 ;
Ex 8 -12 ; Ex 9-4;
Ex 9-8; Ex 9 -12
MATLAB
®
Ex 3 -1; Ex 9-9; § ... which reformats the line form of the equation entered into
the Rule sheet, into a standard mathematical form for checking complex
equations or for presentation purposes.
Chapter 07...
Modeling Tools for Environmental Engineers and Scientists Episode 9 ppsx
... 50.0), (9.00, 60.0), (10 .0, 75.0), (11 .0,
10 0), (12 .0, 12 5), (13 .0, 14 2), (14 .0, 15 0) (15 .0, 50.0), (16 .0, 50.0), (17 .0,
50.0), (18 .0, 50.0), (19 .0, 50.0), (20.0, 50.0), ( 21. 0, 50.0), (22.0, 50.0),
(23.0, ... following, for example:
k = 3 day
1
if C
T
< 25 mg/L; else k = 3
ᎏ
C
K
T
l
ᎏ
Figure 8 .13 Graphical user interface model for pretreatment system in ithin...
Modeling Tools for Environmental Engineers and Scientists Episode 10 pptx
... blood:
ᎏ
d
d
P
t
1
ᎏ
= R – k
3 ,1
P
1
– k
2 ,1
P
1
– k
0 ,1
P
1
+ k
1, 2
P
2
+ k
1, 3
P
3
Figure 9.22 Interactions between compartments.
Chapter 09 11 /9/ 01 9:37 AM Page 279
© 2002 by CRC Press LLC
two- and three-dimensional ... 4
INFLOWS: In2 = Blood•k 21
OUTFLOWS: Out2 = k12*Liver + Rate*Liver/(km + Liver)
K12 = 0.5
k13 = 0.8
k 21 = 0.8
k 31 = 0 .1
km = 5
kol = 0.4
R =...
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