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Abbreviations
- A:
-
area of cross section |m2|
- B:
-
width of channel |m|
- CS :
-
concentration of dissolved oxygen in saturation |mgl−1|
- H:
-
depth of water in channel |m|
- HO :
-
steady state depth of water in channel |m|
- h:
-
increment of depth of water |m|
- K1 :
-
biodegradation and sedimentation coefficient |h−1|
- K2 :
-
atmospheric reaeration coefficient |h−1|
- K21 :
-
BOD removal coefficient |h−1|
- SO, S1, S2, S3 :
-
lateral sources of pollution |mg l−1 h−1|
- t:
-
time |h|
- u:
-
control variable |m|
- V:
-
river flow velocity |mh−1|
- VO :
-
steady state river flow velocity |mh−1|
- v:
-
increment of river flow velocity |mh−1|
- w:
-
concentration of chlorides |mg 1−1|
- x:
-
longitudinal river dimension |m|
- y:
-
concentration of BOD |mg l−1|
- z:
-
concentration of dissolved oxygen |mg l−1|
- η1,η2 :
-
control variables |mg l−1|
- ξ:
-
control variable
- ζ1,ζ2,ζ3,ζ4 :
-
constants
- φ1,φ2,φ3,φ4,φ5 :
-
adjoint state variables
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© 1984 Springer-Verlag
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Bogobowicz, A., Sokołowski, J. (1984). Modelling and control of water quality in a river section. In: Thoft-Christensen, P. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008914
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DOI: https://doi.org/10.1007/BFb0008914
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