Environmental Engineering Reference
In-Depth Information
The computations for variables h and u have to be extended:
Then the explicit formula is written as follows:
That's all. Let's examine some solutions calculated with the extended code.
The complete code is included in the accompanying software under the name
'analtrans.m'.
Exercise 6.1: Compare results with R ¼
1 and R ¼
3, with parameters: T ¼
1,
v ¼
0!
Figure 6.3 depicts the results for exercise 6.1. The effect of retardation is nothing
but a factor in the time-scale. The concentration distribution at time tR for the
retarded species is identical to the curve at time t for the tracer - at least that is the
1, D ¼
0.1, L ¼
1,
l ¼
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
space
Fig. 6.3 Result of exercise 6.1; both situations are represented by three concentration
distributions. Squares mark t ¼ 1/3, diamonds t ¼ 2/3 and circles t ¼ 1. The graph for R ¼ 1
and t ¼ 1/3 falls together with the graph for R ¼ 3 and t ¼ 1
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