A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer Pipe
A sewer dynamic model (SDM), an innovative use of combined models, was established to describe the reactions of compounds in a pilot sewer pipe. The set of ordinary differential equations in the SDM was solved simultaneously using the fourth-order Runge–Kutta algorithm. The SDM was validated by calc...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/13/11/1580 |
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| author | Tzu-Yi Pai Huang-Mu Lo Terng-Jou Wan Ya-Hsuan Wang Yun-Hsin Cheng Meng-Hung Tsai Hsuan Tang Yu-Xiang Sun Wei-Cheng Chen Yi-Ping Lin |
| author_facet | Tzu-Yi Pai Huang-Mu Lo Terng-Jou Wan Ya-Hsuan Wang Yun-Hsin Cheng Meng-Hung Tsai Hsuan Tang Yu-Xiang Sun Wei-Cheng Chen Yi-Ping Lin |
| author_sort | Tzu-Yi Pai |
| collection | DOAJ |
| description | A sewer dynamic model (SDM), an innovative use of combined models, was established to describe the reactions of compounds in a pilot sewer pipe. The set of ordinary differential equations in the SDM was solved simultaneously using the fourth-order Runge–Kutta algorithm. The SDM was validated by calculating the consistency between the simulation and observation values. After the SDM was validated, the reaction rate was analyzed. For heterotrophs in the water phase and biofilm, their growth rates were greater than the organism decay rate. For ammonia, the supply rate was greater than the consumption rate at the initial time, but the supply rate was smaller than the consumption rate from the 3rd hour. The supply rate was smaller than the consumption rate for the other six compounds. The supply rate of oxygen was smaller than the consumption rate before the 4th hour because of the microorganism activities, and, subsequently, the supply rate was greater than the consumption rate after the 4th hour because of reaeration. The results of this study provide an insight into the reaction rates of different compounds in urban sewer pipes and an urban water network modeling reference for policymaking and regulation. |
| first_indexed | 2024-03-10T10:45:13Z |
| format | Article |
| id | doaj.art-c43d65aa71584a2da092eaaab59171fa |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-10T10:45:13Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-c43d65aa71584a2da092eaaab59171fa2023-11-21T22:38:33ZengMDPI AGWater2073-44412021-06-011311158010.3390/w13111580A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer PipeTzu-Yi Pai0Huang-Mu Lo1Terng-Jou Wan2Ya-Hsuan Wang3Yun-Hsin Cheng4Meng-Hung Tsai5Hsuan Tang6Yu-Xiang Sun7Wei-Cheng Chen8Yi-Ping Lin9Master Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanDepartment of Environmental Engineering and Management, Chaoyang University of Technology, Wufeng, Taichung 41349, TaiwanDepartment of Environmental and Safety Engineering, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, TaiwanMaster Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanMaster Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanMaster Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanMaster Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanMaster Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanMaster Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanMaster Program of Environmental Education and Management, Department of Science Education and Application, National Taichung University of Education, Taichung 40306, TaiwanA sewer dynamic model (SDM), an innovative use of combined models, was established to describe the reactions of compounds in a pilot sewer pipe. The set of ordinary differential equations in the SDM was solved simultaneously using the fourth-order Runge–Kutta algorithm. The SDM was validated by calculating the consistency between the simulation and observation values. After the SDM was validated, the reaction rate was analyzed. For heterotrophs in the water phase and biofilm, their growth rates were greater than the organism decay rate. For ammonia, the supply rate was greater than the consumption rate at the initial time, but the supply rate was smaller than the consumption rate from the 3rd hour. The supply rate was smaller than the consumption rate for the other six compounds. The supply rate of oxygen was smaller than the consumption rate before the 4th hour because of the microorganism activities, and, subsequently, the supply rate was greater than the consumption rate after the 4th hour because of reaeration. The results of this study provide an insight into the reaction rates of different compounds in urban sewer pipes and an urban water network modeling reference for policymaking and regulation.https://www.mdpi.com/2073-4441/13/11/1580urban sewer pipesewer dynamic modelheterotrophic biofilmreaction rateconsumption rate |
| spellingShingle | Tzu-Yi Pai Huang-Mu Lo Terng-Jou Wan Ya-Hsuan Wang Yun-Hsin Cheng Meng-Hung Tsai Hsuan Tang Yu-Xiang Sun Wei-Cheng Chen Yi-Ping Lin A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer Pipe Water urban sewer pipe sewer dynamic model heterotrophic biofilm reaction rate consumption rate |
| title | A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer Pipe |
| title_full | A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer Pipe |
| title_fullStr | A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer Pipe |
| title_full_unstemmed | A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer Pipe |
| title_short | A Sewer Dynamic Model for Simulating Reaction Rates of Different Compounds in Urban Sewer Pipe |
| title_sort | sewer dynamic model for simulating reaction rates of different compounds in urban sewer pipe |
| topic | urban sewer pipe sewer dynamic model heterotrophic biofilm reaction rate consumption rate |
| url | https://www.mdpi.com/2073-4441/13/11/1580 |
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