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Errata
Aug 20, 2014

Erratum for “Field-Scale Sprinkler Irrigation System Hydraulic Model. II: Hydraulic Simulation” by D. Zerihun and C. A. Sanchez

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Publication: Journal of Irrigation and Drainage Engineering
Volume 140, Issue 10
Please note a few corrections to the text and tables of this article.
In the first sentence of the Introduction, the reference citation should be Zerihun et al. (2014).
Eq. (7) and the text preceding it should be revised as follows:
Substituting Eqs. (4)–(6), into Eqs. (1) and (3) results in two equations with three unknowns, which can be combined into a nonlinear equation with two unknowns, F(H1,I,H1,II)
F(H1,I,H1,II)=H1,IH1,II+α1[Q(H1,I)]2+α2[Q(H1,II)]2+α3Q1,IQ1,II=0
(7)
In Eq. (15), the notation φ should be replaced with the lower case Greek letter ϕ
(Ed)k+1+φ1(Qk+1,I)2+φ1(Qk+1,II)2+2φ1Qk+1,IQk+1,II+2φ1QkQk+1,I+2φ1QkQk+1,II+λ1=0
(15)
In Table 1, the dimension, L/s/mαb, should be changed to L/s/mα2
Table 1. Input Data for Model Evaluation and Field-Scale Hydraulic Simulation
Type of input dataUnitModel evaluationData used in simulation examples
Single-line lateralsDouble-line laterals
Sprinkler spacingam9.149.149.14
Coefficient of sprinkler qs(hs) function, α1bL/s/mα20.02580.01250.0125
Exponent of sprinkler qs(hs) function, α2b0.5020.5210.521
Lateral spacingcm12.1910.6710.67
Lateral lengthm192.0374.8374.8
Lateral diameterdmm76.276.2
Slope along lateralse±0.00010.00055
Mainline lengthm64.0149.4160.0
Mainline diametermm152.4203.2203.2
Mainline slope0.00030.00.0
Total dynamic head (mainline inlet)fm139.0/144.0158.0158.0
Absolute roughness of pipe, for Darcy-Weisbach equation (aluminum pipe) (e)mm0.1270.1270.127
Local head loss coefficient at lateral and riser pipe coupling
 Branch flow1.31.31.3
 Line flow0.70.70.7
Local head loss coefficient at mainline and lateral coupling
 Branch flow1.01.01.0
 Line flow0.50.50.5
a
The first sprinkler is located at full spacing from the lateral inlet.
b
Coefficient and exponent of sprinkler pressure head-discharge function.
c
Considering the data used for model evaluation, the first lateral is installed at a distance of 3.05 m from the pump.
d
Lateral diameter used in the simulation example with a double-line lateral layout configuration vary along the laterals (between 0 and 128.0 m is 76.2 mm, between 128.0 and 228.5 m is 63.5 mm, and between 228.5 and 374.8 m is 50.8 mm).
e
Lateral slope used for system simulation with a single-line lateral layout configuration vary along the laterals (between 0 and 128.0 m is 0.3%, between 128.0 and 256.0 m is 0.0%, and between 256.0 and 374.8 m is 0.5%).
f
Considering the data used for model evaluation, the total dynamic head imposed at the system inlet for data set I is 139.0 m; and for data sets II and III, it is 144.0 m.
Table 2. Comparison of Computed and Measured Pressure Head along the Mainline
Data setsError, nodal pressure head
Minimum (%)Maximum (%)Average (%)Overall average (%)
I0.53.21.32.0
II0.611.63.1
III0.32.71.6

Note: Average = arithmetic average of the errors computed for each measurement station along the main; error=|measuredpressureheadcomputedpressurehead|×100/measuredpressurehead; overall average = the error averaged over all the data sets.

The dashed lines representing simulated hydraulic grade lines are not clearly visible in Fig. 5. The image below illustrates these data points more clearly.
Fig. 5. Comparison of model-predicted and field-observed hydraulic grade lines (HGLs): (a) along lateral 4, data set I; (b) along mainline, data set I; (c) along lateral 7, data set II; (d) along mainline, data set II; (e) along lateral 9, data set III; (f) along mainline, data set III
In the section “Single-Line Laterals”, the concluding sentence of the paragraph describing Fig. 6(a) should read, “This behavior of the pressure head is caused by the interactive effects of the field topographic configuration considered here and the decrease in discharge along the laterals.”
In the section “Double-Line Laterals”, the concluding sentence of the paragraph describing Fig. 6(c) should read, “This pattern of pressure head variation is caused by the interactive effects of the lateral diameter configuration considered here and the decrease in discharge along the laterals.”

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 140Issue 10October 2014

History

Received: Jun 12, 2014
Accepted: Jun 16, 2014
Published online: Aug 20, 2014
Published in print: Oct 1, 2014
Discussion open until: Jan 20, 2015

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Associate Research Scientist, Maricopa Agricultural Center, Univ. of Arizona, 37860 W. Smith-Enke Rd., Maricopa, AZ 85238-3010. E-mail: [email protected]
C. A. Sanchez [email protected]
Professor, Dept. of Soil, Water, and Environmental Science and Maricopa Agricultural Center, Univ. of Arizona, 37860 W. Smith-Enke Rd., Maricopa, AZ 85238-3010 (corresponding author). E-mail: [email protected]

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