flor problem To estimate the mixing characteristics of a small stream, a scienti
ID: 2998019 • Letter: F
Question
flor problem
To estimate the mixing characteristics of a small stream, a scientist injects 5g of dye instantaneously and uniformly over the river cross section (A-5 m at the point x 0. A measurement station is located 1 km downstream and records a river flow rate of Q 0.5 m3/s. In order to design the experiment, the scientist assumed that D 0.1 m2/s. Use this value to answer the following: a) the fluorometer used to measure the dye downstream at the measuring station has a detection limit of 0.1 ug/l. When does the measuring station first detect the dye cloud? b) When does the maximum dye concentration pass the measuring station, and what is the maximum concentration? c) After the maximum concentration passes the measuring station, the measured concentration decreases again. When is the measuring station no longer able to detect the dye? d) Why is the elapsed time between the first detection and the maximum concentration different from the elapsed time between the last detection and the maximum concentration?Explanation / Answer
n optimization theory, maximum flow problems involve finding a feasible flow through a single-source, single-sink flow network that is maximum.
The maximum flow problem can be seen as a special case of more complex network flow problems, such as the circulation problem. The maximum value of an s-t flow (i.e., flow from source s to sink t) is equal to the minimum capacity of an s-t cut
The maximum flow problem was first formulated in 1954 by T. E. Harris and F. S. Ross as a simplified model of Soviet railway traffic flow. In 1955, Lester R. Ford, Jr. andDelbert R. Fulkerson created the first known algorithm, the Ford
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