Guymer, Ian and Stovin, V. R.. (2011) One-dimensional mixing model for surcharged manholes. Journal of Hydraulic Engineering (Reston), Vol.137 (No.10). pp. 1160-1172. ISSN 0733-9429

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Abstract

Mixing and dispersion processes affect the timing and concentration of contaminants transported within urban drainage systems. Hence, methods of characterizing the mixing effects of specific hydraulic structures are of interest to drainage network modelers. Previous research, focusing on surcharged manholes, used the first-order advection-dispersion equation (ADE) and aggregated dead zone (ADZ) models to characterize dispersion. However, although systematic variations in travel time as a function of discharge and surcharge depth were identified, the ADE and ADZ models did not provide particularly good fits to observed manhole mixing data, which meant that the derived parameter values were not independent of the upstream temporal concentration profile, and no rules for predicting parameter values based on manhole size and configuration were provided. An alternative, more robust, method is described by using the system's cumulative residence time distribution (CRTD). This paper shows how a deconvolution approach derived from systems theory may be applied to identify, from laboratory data, the CRTDs associated with surcharged manholes. Archive laboratory data are reanalyzed to demonstrate that the solute transport characteristics of a surcharged manhole with straight-through inflow and outlet pipes over a range of flow rates and surcharge depths may be modeled using just two dimensionless CRTDs, one for prethreshold and the other for postthreshold surcharge depths. The model combines the derived manhole CRTDs with a standard (Gaussian) pipe dispersion model to provide temporal solute concentration profiles that are independent of both scale and the ratio of the pipe and manhole diameters.

Item Type:	Journal Article
Subjects:	T Technology > TA Engineering (General). Civil engineering (General) T Technology > TC Hydraulic engineering. Ocean engineering T Technology > TD Environmental technology. Sanitary engineering
Divisions:	Faculty of Science > Engineering
Library of Congress Subject Headings (LCSH):	Manholes, Seismic reflection method -- Deconvolution, Hydraulic models, Mixing
Journal or Publication Title:	Journal of Hydraulic Engineering (Reston)
Publisher:	American Society of Civil Engineers
ISSN:	0733-9429
Date:	October 2011
Volume:	Vol.137
Number:	No.10
Number of Pages:	13
Page Range:	pp. 1160-1172
Identification Number:	10.1061/(ASCE)HY.1943-7900.0000422
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
References:	Arao, S., and Kusuda, T. (1999). “Effects of pipe bending angle on energy losses at two-way circular drop manholes.” 8th Int. Conf. On Urban Storm Drainage, IWA, London, 2163–2168. Danckwerts, P. V. (1953). “Continuous flow systems.” Chem. Eng. Sci., 2(1), 1–13. Guymer, I., Dennis, P., O’Brien, R., and Saiyudthong, C. (2005). “Diameter and surcharge effects on solute transport across surcharged manholes.” J. Hydraul. Eng., 131(4), 312–321. Guymer, I., and Dutton, R. (2007). “Application of transient storage modelling to solute transport across a surcharged manhole.” Water Sci. Technol., 55(4), 65–73. Guymer, I., and O’Brien, R. T. (2000). “Longitudinal dispersion due to surcharged manhole.” J. Hydraul. Eng., 126(2), 137–149. Hansen, P. C. (1998). Rank-deficient and discrete ill-posed problems: Numerical aspects of linear inversion, SIAM, Philadelphia. Hattersley, J., Evans, N. D., Bradwell, A. R., Mead, G. P., and Chappell, M. J. (2008). “Nonparametric predication of free-light chain generation in multiple myeloma patients.” Proc., 17th IFAC World Congress, International Federation of Automatic Control, Laxenburg, Austria. Lau, S. D. (2008). “Scaling dispersion processes in surcharged manholes.” Ph.D. thesis, Univ. of Sheffield, UK. Lau, S., Stovin, V. R., and Guymer, I. (2008). “Scaling the solute transport characteristics of a surcharged manhole.” Urban Water J., 5(1), 33–42. Levenspiel, O. (1972). Chemical reaction engineering, 2nd Ed., Wiley, New York. Madden, F. N., Godfrey, K. R., Chappell, M. J., Hovorka, R., and Bates, R. A. (1996). “A comparison of six deconvolution techniques.” J. Pharmacokin. Biopharm., 24(3), 283–299. MathWorks. (2007). MATLAB version R2007b, Natick, MA. Rutherford, J. C. (1994). River mixing, Wiley, London. Skilling, J., and Bryan, R. K. (1984). “Maximum-entropy imagereconstruction: General algorithm.” Mon. Not. R. Astron. Soc., 211(1), 111–124. Stovin, V. R., Grimm, J. P., and Lau, S. D. (2008). “Solute transport modelling for urban drainage structures.” J. Environ. Eng., 134(8), 640–650. Stovin, V. R., Guymer, I., Chappell, M. J., and Hattersley, J. G. (2010a). “The use of deconvolution techniques to identify the fundamental mixing characteristics of urban drainage structures.” Water Sci. Technol., 61(8), 2075–2081. Stovin, V. R., Guymer, I., and Lau, S.-T. D. (2010b). “Dimensionless method to characterize the mixing effects of surcharged manholes.” J. Hydraul. Eng., 136(5), 318–327. Taylor, G. I. (1954). “The dispersion of matter in turbulent flow through a pipe.” Proc. R. Soc. London, Ser. A, 223, 446–468. Young, P., Jakeman, A., and McMurtie, R. (1980). “An instrument variable method for model order identification.” Automatica, 16, 281–294.
URI:	http://wrap.warwick.ac.uk/id/eprint/40330

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