ASTM D5388-93(2002)
(Test Method)Standard Test Method for Indirect Measurements of Discharge by Step-Backwater Method
Standard Test Method for Indirect Measurements of Discharge by Step-Backwater Method
SCOPE
1.1 This test method covers the computation of discharge of water in open channels or streams using representative cross-sectional characteristics, the water-surface elevation of the upstream-most cross section, and coefficients of channel roughness as input to gradually-varied flow computations.
1.2 This test method produces an indirect measurement of the discharge for one flow event, usually a specific flood. The computed discharge may be used to define a point on the stage-discharge relation.
1.3 The values stated in inch-pound units are to be regarded as the standard. The SI units given in parentheses are for information only.
1.4 This standard does not purport to address all of the safety problems, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.
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Designation: D 5388 – 93 (Reapproved 2002)
Standard Test Method for
Indirect Measurements of Discharge by Step-Backwater
1
Method
This standard is issued under the fixed designation D 5388; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (e) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 This test method covers the computation of discharge of
water in open channels or streams using representative cross-
sectional characteristics, the water-surface elevation of the
upstream-most cross section, and coefficients of channel
2
roughness as input to gradually-varied flow computations.
1.2 This test method produces an indirect measurement of
the discharge for one flow event, usually a specific flood. The
computed discharge may be used to define a point on the
stage-discharge relation.
1.3 The values stated in inch-pound units are to be regarded
as the standard. The SI units given in parentheses are for
information only.
1.4 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
responsibility of the user of this standard to establish appro-
priate safety and health practices and determine the applica-
bility of regulatory limitations prior to use.
2. Referenced Documents
2.1 ASTM Standards:
3
D 1129 Terminology Relating to Water
FIG. 1 Definition Sketch of Step-Backwater Reach
D 2777 Practice for Determination of Precision and Bias of
3
Applicable Methods of Committee D19 on Water
3.2.1 alpha (a)—a dimensionless velocity-head coefficient
D 3858 Practice for Open-Channel Flow Measurement of
that represents the ratio of the true velocity head to the velocity
3
Water by Velocity-Area Methods
head computed on the basis of the mean velocity. It is assumed
equal to unity if the cross section is not subdivided. For
3. Terminology
subdivided sections, a is computed as follows:
3.1 Definitions:
3
k
3.1.1 For definitions of terms used in this test method, refer i
(
2
to Terminology D 1129. a
i
a5 (1)
3
3.2 Definitions of Terms Specific to This Standard:
K
T
2
A
T
NOTE—Several of the following terms are illustrated in Fig.
1.
where:
k and a = the conveyance and area of the subsection
1 indicated by the subscript i, and
This test method is under the jurisdiction of ASTM Committee D19 on Water
K and A = the conveyance and area of the total cross
and is the direct responsibility of Subcommittee D19.07 on Sediments, Geomor-
phology, and Open-Channel Flow.
section indicated by the subscript T.
Current edition approved April 15, 1993. Published June 1993.
3.2.2 conveyance (K)—a measure of the carrying capacity
2
Barnes, H. H., Jr., “Roughness Characteristics of Natural Streams,” U.S.
of a channel without regard to slope and has dimensions of
Geological Survey Water Supply Paper 1849, 1967.
3
Annual Book of ASTM Standards, Vol 11.01. cubic feet per second. Conveyance is computed as follows:
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D 5388 – 93 (2002)
1.49
perimeter. The wetted perimeter is the distance along the
2/3
K 5 AR (2)
n
ground surface of a cross section or subsection.
3.2.10 Manning’s equation—Manning’s equation for com-
3.2.3 cross-section area (A)—the area at the water below
puting discharge for gradually-varied flow is:
the water-surface elevation that it computed. The area is
1.49
2/3 1/2
computed as the summation of the products of mean depth
Q 5 AR S (8)
f
n
multiplied by the width between stations of the cross section.
3.2.4 cross sections (numbered consecutively in downstream
order)—representative of a reach and channel and are posi- where:
3 3
tioned as nearly as possible at right angles to the direction of Q = discharge, ft /s (m /s),
n = Manning’s roughness coefficient,
flow. They must be defined by coordinates of horizontal
2 2
A = cross-section area, ft (m ),
distance and ground elevation. Sufficient ground points must
R = hydraulic radius, ft, (m), and
be obtained so that straight-line connection of the coordinates
S = friction slope, ft/ft (m/m).
f
will adequately describe the cross-section geometry.
3.2.11 roughness coeffıcient (n)—or Manning’s n is used in
3.2.5 expansion or contraction loss (ho)—in the reach is
theManningequation.RoughnesscoefficientorManning’s nis
computed by multiplying the change in velocity head through
the reach by a coefficient. For an expanding reach: a measure of the resistance to flow in a channel. The factors
that influence the magnitude of the resistance to flow include
ho 5 Ke~h 2 h ! (3)
v v
1 2
the character of the bed material,
...
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