標題: | A new approximate solution for chlorine concentration decay in pipes |
作者: | Yeh, Hund-Der Wen, Shi-Bin Chang, Ya-Chi Lu, Chung-Sying 環境工程研究所 Institute of Environmental Engineering |
關鍵字: | analytical solution;chlorine;pipes;simulated annealing;transport equation;wall decay |
公開日期: | 1-五月-2008 |
摘要: | Biswas et al. (1993. A model for chlorine concentration decay in pipes. Water Res. 27(12), 1715-1724) presented an analytical solution of a two-dimensional (2-D) steady-state chlorine transport equation in a pipe under the turbulent condition and employed fractional error function and regression technique to develop an approximate solution. However, their approximate solution may not give a good result if the wall decay parameter is large. This paper provides a more accurate approximate solution of the 2-D steady-state chlorine transport equation under the turbulent condition. This new approximate solution has advantages of easy evaluation and good accuracy when compared with the approximate solution given by Biswas et al. (1993). In addition, this paper also develops a methodology that combines simulated annealing (SA) with this new approximate solution to determine the wall decay parameter. Two cases are chosen to demonstrate the application of the present approximate solution and methodology. The first case is to use this new approximate solution in simulating chlorine decay in pipes with the experiment-observed data given by Rossman (2006. The effect of advanced treatment on chlorine decay in metallic pipes. Water Res. 40(13), 2493-2502), while the second case presents the determination of the wall consumption at the end of the pipe network. (c) 2008 Elsevier Ltd. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.watres.2008.02.012 http://hdl.handle.net/11536/9383 |
ISSN: | 0043-1354 |
DOI: | 10.1016/j.watres.2008.02.012 |
期刊: | WATER RESEARCH |
Volume: | 42 |
Issue: | 10-11 |
起始頁: | 2787 |
結束頁: | 2795 |
顯示於類別: | 期刊論文 |