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AO-AL07 735 ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG-ETC F/6 13/2LOCK CILVERT VALVE LOSS COEFFICIENTS. NYORAULIC LABORATORY INVE--ETC(U)SEP 8I B A PICKERING
LOiCLASSIFIED WESTRIL-61-1O "
TECHNICAL REPORT H-L-81-10
LOCK CULVERT VALVE L LLOSS COEFFICIENTS
Hydraulic Laboratory Investigation
by
Glenn A. Pickering
Hydraulics LaboratoryU. S. Army Engineer Waterways Experiment Station
P. 0. Box 6.31, Vicksburg, Miss. 39180
September 1981Final Report
Approved For Public Release; Distribution. Unlimited
7i
UNWALU
.j Prepared for Ofie he fEgnes .S ryD T ICOffce Cahiefofgn ees U. S. Army4 ELE T
NOV 2 5 1981
D
4v
Destroy this report when no longer needed. Do not returnit to the originator.
The findings in this report are not to be construed as an officialDepartment of the Army position unless so designated.
by other authorized documents.
The contents of this report are not to be used foradvertising, publication, or promotional purposes.Citation of trade names does not constitute anofficial endorsement or approval of the use of
such commercial products.
-' d - ,,
UnclassifiedSECURITY CLASSIFICATION OF THIS PAGE (Wh1en Datl intered)
REPOR DOCMENTTIONPAGEREAD INsTr!UCTIoNsREPORT DOCUMENTATION PAGE BEFORE COMPLETING FORM
I. REPORT NUMBER 2. GOVT ACCESSION NO 3. RECIPIENT'S CATALOG NUMBER
Technical Report HL-81-10 AP-61457 rr-4. TITLE (amd Sbtitl.) S. TYPE OF REPORT & PERIOD COVERED
LOCK CULVERT VALVE LOSS COEFFICIENTS; Hydraulic Final r.portLaboratory Investigation 6. PERFORMING ORG. REPORT NUMBER
7. AUTHOR(.) S. CONTRACT OR GRANT NUMBER(.)
Glenn A. Pickering
9. PERFORMING ORGANIZATION NAME AND ADDRESS 10 PROGRAM ELEMENT. PROJECT. TASK
U. S. Army Engineer Waterways Experiment Station AREA&WORKUNITNUMBERS
Hydraulics LaboratoryP. 0. Box 631, Vicksburg, MiRs. 39180
It. CONTROLLING OFFICE NAME AND ADDRESS 12. REPORT DATE
Office, Chief of Engineers September 1981U. S. Army 13. NUMBER OF PAGES
Washington, D. C. 20314 46-14. MONITORING AGENCY NAME & ADORESS(II diferent froe Controliind Office) IS. SECURITY CLASS. (of this report)
UrclassifiedIS. DECL ASSI FIC ATION/DOWNGRADING
SCHEDULE
16. DISTRIBUTION STATEMENT (of this Report)
Approved for public release; distribution unlimited.
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IS. SUPPLEMENTARY NOTES
Available from National Technical Information Service, 5285 Port Royal Road,Springfield, Va. 22151.
19. KEY WORDS (Continue on referee side If neceeary aId Identify by block number)
CulvertsNavigation locksPressure measurementValves
20, AIST'RACT'rCenthas ,e miveril N s neeaeey ad i #dily by block nobmr)
This report presents results of tests that were conducted to determine
valve loss coefficients to use in predicting pressures downstream from navi-gation lock culvert valves. Reliable prediction of these pressures is neededso that a valve can be sited to prevent cavitation either by submergence or
self-aeration with air vents. Tests were conducted with various culvert roofexpansions beginning at several locations downstream from the lock culvert
valve to determine the effect of the expansion on valve loss coefficients.,_
DO FORM M4 EDITION OF INOV 6S IS OBSOLETE Unclassified
SECURITY CLASSIFICATION OF THIS PAGE (tan Data Entered)
Ot]
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Unclassified
SECURITYv CLASSIFICATION OF T141S PAGUIftk Do& Rue...
SECURITY, CLASSIFICATION OF TIS rAGEAl.nOat. Er .. d)
a
PREFACE
The study reported herein was conducted under the sponsorship of
the Office, Chief of Engineers (OCE), U. S. Army, as a Civil Works In-
vestigation Work Unit 31479, in the Locks and Dam (Navigation Hydraulics)
Research Program. The study was authorized in FY 77. Tests were con-
ducted in the Hydraulics Laboratory of the U. S. Army Engineer Water-
ways Experiment Station (WES) under the general supervision of
Messrs. H. B. Simmons, Chief of the Hydraulics Laboratory, and J. L.
Grace, Jr., Chief of the Hydraulic Structures Division, and under the
direct supervision of Mr. G. A. Pickering, Chief of the Locks and Con-
duits Branch. Tests were conducted by Messrs. D. B. Murray, J. H.
Ables, Jr., J. F. George, C. L. Dent, T. E. Murphy, Jr., and H. S.
Headley II. This report was prepared by Mr. Pickering.
Technical monitors of the Locks and Dams (Navigation Hydraulics)
Research Program during the course of the investigation and the prepara-
tion and publication of this report were Messrs. S. B. Powell and B.
McCartney (OCE).
Commanders and Directors of WES during the conduct of the study
and the preparation and publication of this report were COL John L.
Cannon, CE, COL Nelson P. Conover, CE, and COL Tilford C. Creel, CE.
Techincal Director was Mr. F. R. Brown.
Accession For
KTIS GRA&IDTAB DTICccnannounced D T I
Justificatio 0ELECTE
By . ... NOV 2 5 1981 IDistribution/
Availability Codes DAvail and/or
Dist special
RL 11
CONTENTS
Page
PREFACE.................................
CONVERSION FACTORS, U. S. CUSTOMARY TO METRIC (SI)UNITS OF MEASUREMENT........................3
PART 1: INTRODUCTION.........................4
Background...........................4Purpose of Investigation .................... 5
PART II: TEST FACILITY........................6
Description...........................6Appurtenances .......................... 6
PART III: TESTS AND RESULTS.....................8
Test Procedure.........................8Initial Tests .......................... 9Culvert Expansion at Valve...................10Culvert Expansion Downstream from Valve. ........... 10Location of Minimum Pressure ................. 11
PART IV: DISCUSSION AND CONCLUSIONS ................ 13
TABLES 1-9
PLATES 1-10
2
CONVERSION FACTORS, U. S. CUSTOMARY TO METRIC (SI)UNITS OF MEASUREMENT
U. S. customary units of measurement used in this report can be con-
verted to metric (SI) units as follows:
Multiply By To Obtain
cubic feet per second 0.02831685 cubic metres per second
feet 0.3048 metres
feet per second 0.3048 metres per second
feet per second per second 0.3048 metres per second per second
3
LOCK CULVERT VALVE LOSS COEFFICIENTS
Hydraulic Laboratory Investigation
PART I: INTRODUCTION
Background
I. Prevention of cavitation downstream from high-lift lock cul-
vert valves has become an increasingly difficult problem for designers
as lifts have increased to values greater than 100 ft.* High velocities
and low pressures are induced as flow accelerates immediately downstream
from the valves during the valve opening period. In some instances, the
local flow acceleration is sufficient to lower the local pressure to the
vapor pressure of water and form cavities within the flow. These cavi-
ties collapse rapidly or implode either in the water or against the
downstream boundaries as they enter the increased pressure that results
from the decreased velocity of flow as it expands and is decelerated in
the culvert downstream of the valve. This has resulted in lock masters
reporting loud pounding noises indicating cavitation implosions within
the flow. In some instances, these booms have been violent enough to
shake the lock walls and break windows. The implosion of the cavities
against solid boundaries results in rapid pitting or damage to valves
and appurtenances and to the concrete culverts.
2. In early designs, pressures low enough to cause cavitation
were avoided by submerging the culvert at the location of the valve so
that thc pressure gradient was maintained above the top of the culvert.
However, as lifts increased, it became increasingly costly to provide
adequate submergence. Through prototype tests at some of the high-lift
locks on the Columbia River it was found that admitting a controlled
amount of air into the culverts at each valve virtually eliminated the
A table of factors for converting U. S. customary units of measure-
ment to metric (SI) units is presented on page 3.
4
L4
pounding noises. Air was drawn through a vent placed downstream from
the valve into the culvert system during the valve opening period, was
entrained as small bubbles in the highly turbulent flow, and emerged in
the lock chamber so entrained that it merely caused the water to look
milky. It was concluded that the air cushioned the collapse of the
large cavities, eliminated shock pressures, and thus eliminated the
pounding noises. This procedtire allowed the culverts to be placed at
a much higher elevation. Several locks have been constructed by the
Corps using this procedure and no operation difficulties or hazardous
conditions have been reported where pressures on the culvert roof were
low enough to draw air during the valve opening period.
3. Through model tests of various locks it was found that expand-
ing the culvert roof upward downstream from the valve would increase
pressures on the roof of the culvert just downstream from the valve.
Also, in one series of model tests for the Lower Granite Lock* it was
found that the location of the expansion with respect to the valve di-
rectly affected the pressure on the roof of the culvert in the area
immediately downstream from the valve as shown in Plate 1.
Purpose of Investigation
4. The use of expansions downstream from culvert valves is a very
practical means of controlling the pressures and allowing the valves to
be set at a more economical elevation. However, the limited amount of
available test data was not adequate to predict the precise effect of
the degree of expansion and location of the expansion on pressures and
loss coefficients. Thus, systematic tests were needed to determine
these factors. Also, it was expected that the tests would determine the
exact location where minimum pressure occurs during a valve opening
period.
U. S. Army Engineer Division, North Pacific, CE. 1979 (Sep). "Navi-
gation Lock for Lower Granite Dam, Snake River, Washington; HydraulicModel Investigation," Technical Report No. 126-1, Division HydraulicLaboratory, Bonneville, Oreg.
5
PART 11: TEST FACILITY
Description
5. The test facility (Figure 1) consisted of a headbay, conduit,
valve well, reverse tainter valve, and tailbay. The upstream conduit
was 47 ft long with a straight length of 17 ft upstream from the valve
well and the downstream conduit was 14 ft long. A layout and details
of the facility are shown in Plate 2. The culvert and valve well were
constructed of plastic, and the valve was made from sheet metal.
Appurtenances
6. Water was supplied to the facility through a circulating
system. Discharges were measured by a venturi meter and an orifice
meter installed in the flow lines. Piezometers were used to measure
pressures, and an adjustable tailgate was used to regulate the down-
stream pool elevation (lock chamber elevation).
7. The instrumentation and control system provided for operation
of the culvert tainter valve by means of a programmable d-c motor. The
position of the valve opening was indicated by a linear potentiometer.
The cam and signal plot could be drawn to carefully control the valve
position as a function of time.
6
=among
~e
Y.
41tie h ~1 t
PART Ill: TESTS AND RESULTS
8. Pressures downstream from lock filling v, ilvs are a fun(tion
of the valve loss coefficients, K , along with t lher fato rs. 'I licV
valve loss coefficient used in this study refers to the total head ,
at the valve which includes that due to the valve well, the va Ive, ,nid
the culvert expansion. This study was concerned primarily with tht
effect of culvert expansions downstream from the vllve on K I hLtV
valve loss coef f ic ient is def ined by the following equat ion.
SEK -(
v 1 /2g
where
K = valve loss coefficientv
AE = energy loss of the valve, ft
V = average velocity in the culvert upstream from the valve, fps
g = acceleration due to gravity, ft/sec-
9. All of the tests reported herein were conducted with a ver-
tically framed tainter gate as shown in Engineer Manual 1110-2-1610,
"Hydraulic Design of Lock Culvert Valves." Although the valve loss co-
efficients reported herein would probably be slightly different with
the other types of reverse tainter valves shown in the referenced manual,
the conclusions drawn from these tests would be the same regardless of
the type of valve used.
Test Procedure
10. Each test consisted of setting a specific valve opening, dis-
charge, upper pool elevation, and lower pool elevation and then record-
ing pressures as indicated by piezometers installed throughout the test
section. At least three tests were made with each valve position with
either different discharges or different lower pool (lock chamber) ele-
vations. Data were plotted for each test as shown in Plate 3. Slopes
of the pressure grade lines in the culverts upstream and downstream
[ 6
from the valve section were extended to the valve well to determine the
head loss, AR , at that section. Average velocities in thL sections of
culvert upstream and downstream from the roof expansion, VI and V3
respectively, were determined from the known cross-sectional areas and
discharge. By adding the difference in velocity head in the two sec-
tions, V I2g - V 22g , to the head loss the total energy loss at the
valve section, AE , was determined. The valve loss coefficient was
then computed using Equation I shown in paragraph 8 above. Results for
the various test runs along with pertinent boundary conditions for each
run are shown in Table I.
Initial Tests
11. Initial tests were conducted with a culvert of constant cross
section 0.56 ft by 0.56 ft upstream, through, and downstream of the
valve (type 1 design, Plate 4). Data obtained with this unexpanded
culvert formed the basis for comparison with other designs tested and,
also, for comparison with prototype data since extensive data were avail-
able from McNary Lock which has unexpanded culverts (Plate 5). Pressures
measured with the type 1 design are shown in Table 2.
12. Data obtained were used to compute valve loss coefficients as
indicated in paragraph 10. These coefficients are shown in Table 1 and
are plotted in Plate 5. Points from the curve in Hydraulic Design Chart
534-1 are also shown for comparison. These data are very close and the
agreement between the experimental and prototype values is excellent.
13. The assumption was made that energy loss between the valve
well and the vena contracta is negligible. Thus, the velocity head in
the vena contracta must equal the distance between the energy grade line
in the valve well and the minimum pressure on the roof of the culvert
downstream from the valve. On this assumption, velocities in the vena
contracta and contraction coefficients for the valve were determined.
Contraction coefficients agreed closely with those used in lock filling
and emptying computations in Engineer Manual 1110-2-1610 as shown in
Plate 6 for conditions of no culvert roof expansion. The expansions
-- .
tested in this study did not influence the contraction coefficient.
Culvert Expansion at Valve
14. After the base data were obtained, tests were conducted with
culvert height expansions from 0.56 to 0.88 ft (type 2 design, Plate 4)
and from 0.56 to 0.72 ft (type 4 design, Plate 4) beginning immediately
downstream from the valve. The roof of the culvert was sloped up IV on
1OH in all designs. Pressures obtained during these tests are shown in
Tables 3 and 4. Valve loss coefficients are shown in Table 1 and are
plotted in Plate 7. As shown in this plot, there is greater energy loss
through the expanded culverts, particularly in the 50 to 70 percent
range of valve openings. With identical valve openings and equal dis-
charge, pressure drops are the same regardless of the roof expansion,
since the expansions did not influence the contraction coefficient. It
is postulated that if the entire system (rather than the valve, as in
these tests) controls flow, the pressure drops would be the same; but
the absolute pressure downstream of the valve would be significantly
higher. The test results indicate that the maximum negative pressure
downstream from the valve is less with an expanded culvert, not because
of flow circulation as had been hypothesized but because the fully ex-
panded flow velocities (thus, discharges) are less in the downstream
culvert, particularly through the range of valve openings that result
in minimum pressure. With relatively small valve openings, the energy
loss is relatively large due to expansion and deceleration of flow.
With the larger valve openings, the change in velocities and energy loss
are minor due to only minor contraction and expansion of flow.
Culvert Expansion Downstream from Valve
15. Tests were conducted to determine the effect of the position
of the beginning of the roof expansion on valve loss coefficients. All
of these tests were conducted with a roof expansion of IV on 10H from a
height of 0.56 to 0.88 ft. Expansion started at distances downstream
10
4'
from the valve of 0.28 ft (type 3 design), 0.56 ft (type 5 design),
1.b8 ft (type 6 design), 2.24 ft (type 8 design), and 3.64 ft (type 7
design). All of these designs are shown in Plate 4.
16. Pressures measured during these tests are shown in Tables
5-9. Valve loss coefficients computed from these data and the data from
the types I and 2 designs are shown in Table I and are plotted in
Plate 8. These data show valve loss coefficients to be essentially the
same with no roof expansion (type 1) and with roof expansions beginning
4.0 valve heights (type 8) and 6.5 valve heights (type 7) downstream
from the valve. A plot showing the effect of the beginning of the roof
expansion on valve loss coefficients is shown in Plate 9. It appears
from this plot that the effect of the position of the roof expansion on
valve loss coefficients varies slightly with the valve opening. For
each valve opening there is a critical value for the distance to the
beginning of the expansion, beyond which there is no change in the valve
loss coefficient. Expansions that start downstream from these critical
locations would have no influence on valve loss coefficients. This
critical location is about 3.5 to 4.5 valve heights downstream of tile
valve in the range of openings where minimum pressure occurs during a
filling cycle. This is in reasonable agreement with the Lower Granite
results (Plate 1) which show effects within 5 valve heights.
Location of Minimum Pressure
17. Pressures were measured at various elevations and distances
downstream from the valve to determine the location where minimum pres-
sure occurs. These tests were conducted to assist the designer in lo-
cating the air vents downstream from the valve. The culvert expansions
had little effect on the location of the minimum pressure. Isopiestic
lines obtained with valve openings of 40, 50, 60, 70, and 80 percent
are shown in Plate 10. These data are in dimensionless form and are
averages from several tests conducted with the types 1 and 8 dcsigns.
The following was used to convert the data to a dimensionless form.
11
__ _ _ -. ' .
P - pu
V /2g
where
P = pressure immediately upstream from valve well, ftu
P = pressure at some point downstream from valve, ft
V1 = average velocity in culvert upstream from valve, fps12
g = acceleration due to gravity, ft/sec
2
These data indicate that minimum pressures occur near the top of the
culvert. The distance downstream from the valve where these minimum
pressures occur varies with the valve opening and moves upstream as
the valve is opened. As shown in Plate 10, the location of minimum
pressure at the roof of the culvert with the valve open 60 percent is
between 0.5 and 1.0 valve heights downstream from the valve. Thus, the
common practice of placing the air vents in the roof of the culvert
about 0.5 valve heights downstream from the valve is satisfactory,
although the vents could be placed farther downstream if necessary.
12
4I____. ......__
PART IV: DISCUSSION AND CONCLUSIONS
18. Accurate valve loss coefficients, particularly in the range
of valve openitigs between 50 and 70 percent, are imperative for close
prediction of minimum pressure downstream from navigation lock culvert
valves. Reliable prediction of these pressures is needed so that a
valve can be sited to prevent cavitation either by submergence or self-
aeration with air vents. The valve loss coefficients determined in
these tests unquestionably are more accurate than can be determined by
picking values from filling curves only. Thus, it is recommended that
in analysis of prototype data and in predictions of performance of
future locks these coefficients be used.
19. The maximum negative pressure downstream from the valve was
found to be less with an expanded culvert. The negative pressure was
reduced because the valve loss coefficients were larger with the ex-
panded culvert, and thus, the discharges were less through ine range of
valve openings that result in maximum negative pressure. The valve
loss coefficients determined in this study can be used to determine
the effect of culvert expansions on pressure downstream from the valve
with expansions up to 57 percent of the valve height. The 57 perctnt
expansion was based on the Lower Granite Lock which is the largest ex-
pansion constructed to date. Also, this was considered to be near the
upper limit from a practical standpoint.
20. The study showed that culvert expansions that begin 4.5 valve
heights or more downstream from the valve have no effect on the valve
loss coefficients for valve openings of 30 percent or greater. Expan-
sions beginning within 4.5 valve heights of the valve increased loss
coefficients linearly as the expansion was placed closer to the valve.
This agrees reasonably well with data obtained from a previous mclel of
Lower Granite Lock which shows minimum pressure decreasing linearly as
the expansion was moved downstream until it reached a distance of 5
valve heights.
21. In design of future locks if it becomes necessary to expand
the culverts to reduce friction losses in the filling system or for
13
structural reasons, and the expansion is not needed to reduce negative
pressures for optimum location of the valve, then the expansion should
not begin within 4.5 valve neights downstream from the valve. if the
expansion is needed to reduce negative pressures, but the amount of ex-
pansion is greater than that required to obtain optimum pressures with
the expansion beginning immediately downstream from the valve, the ex-
pansion can be moved some distance downstream from the valve to obtain
optimum pressures. The valve loss coefficients shown in this report
can be used to determine this distance.
22. It was concluded that the contraction coefficient is inde-
pendent of culvert roof expansions when the valve is controlling the
discharge as it was in these tests. The pressure drop from the grade
line in the valve well to the minimum pressure downstream from the
valve was dependent upon both the contraction coefficient and the dis-
charge. Thus, expansions influenced this pressure drop only because
they influenced the discharge.
23. Minimum pressure downstream from the valve occurred at or
near the top of the culvert. The location of this pressure varied with
the valve opening and moved upstream as the valve was opened. The mini-
mum pressure was located between 1.0 to 0.5 valve heights downstream
from the valvP with valve openings in the range of 50 to 70 percent open
where minimum pressure usually occurs. Thus, air vents should be located
in the roof of the culvert at a distance of 1.0 to 0.5 culvert heights
downstream from the valve, preferably 0.5 culvert heights, since the
lowest pressure occurs at that location with the valve near a 60 percent
opening.
24. All of the data shown in this report were obtained with a
vertically framed (Holt-type) valve, since it is the most commonly used
type. Valve loss coefficients and contraction likely are different for
other types of valves, such as a double skin-plate valve. Although the
value of the coefficients would be different, the conclusions concerning
the effect of expansion and location of the expansion on loss coeffi-
cients and location of minimum pressure should be the same.
25. The test facility used to obtain data to determine the valve
14
. . .. . . . . . I l ll l ...
loss coefficients did not include the culvert intake or distribution
culverts and ports of the filling and emptying system. Also, the tests
were conducted with constant upper and lower pool elevations and valve
openings. Thus, the effective inertia of a prototype filling and empty-
ing system was not reproduced. However, by using the valve loss coeffi-
cients determined in this study, along with other loss coefficients for
the culvert intakes, friction, and exit manifold in the CORPS* H5320
computer program, accurate hydraulic data such as pressures and lock
filling and emptying times can be obtained.
26. Future studies with a model of an entire bottom longitudinal
filling and emptying system would be very beneficial in determining
other loss coefficients such as the intakes to the culverts, in the
distribution system and at the outlet manifolds.
* Conversationally Oriented Real-Time Program Generating System (CORPS)
Computer Program H5320, "Lock Filling and Emptying Symmetrical Sys-tems." Available from: WES Library, U. S. Army Engineer WaterwaysExperiment Station, CE, P. 0. Box 631, Vicksburg, Miss. 39180, andfrom several CE computer systems.
15
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j4 0aC.
a.
io[~ u ,u
0 noo~ 2Vis In
3NIfl H-4.LVr4 x 3N11I HDIVV
00
a
neL 0.
AVUOV3H <1 0
00
~0N ~ Pofl/xfr' '009 flSL 9tp
4 ~ viSui 4 -
Ad 3rJ<
PLATE 2
a-
9V w
co U
_n NNC
_ _ _ 0-u
IX
<N- L
CC
"N
q N - 0
U3±VM JO .L3i3&iflSS3Wid
PLATE 3
o s~' 10 W6
-~1'TYPE I
TYPE 2
-', 056' 088,
TYPE 3
0O,56'/007
TYPE 4
0.5to/ 0 88'
TYPE 5
68, to088
0o56' <1 68 --- /08'
TYPE 6
__T)_ zz-
1
058' J 64' -08
TYPE 7
TYPE 8
CULVERT EXPANSIONS
PLATE 4
1000
ow
20 -- A-
g o 0
o 10 - T
40
06
03 a ;T ANTHONY i ALLS LoWt H LOCK -
02 9 SI ANTHONY t AL LS LOWER LOCK
V ST1 ANTHONY f AL LS LOW[F R10CK
01 0 OALLFS LOCK MODEL
006 * MNAHY LOCK PRIOTOTYPEF RUN '
004 X VALVE LOSS COEFFICIENT :-
002 003 004 006 000 01 0 30 6 0 02
AREA Or VALVE OPENING 1A.1AREA OF CULVERT %AC/
FROM HYDRAULIC DESIGN CHART 531 VALVE LOSS COEFFICIENTSUNEXPANDED CULVERTS
PLATE 5
w Z
LLar-w
N~ 0a
0 z
W-
0n
6~ Wz0 0r
00
cn- w0
w 0
0
0 0
0.L 0 -
zu
-w w
W
< >-
0~ 'U
0~)-
0
2 0
PLT 6
LEGEND
80TYPE I8 0> TYPE 2
flTYPE 4
, >7
36
0
4
3
030 40 so 60 70 80 90 100
PERCENT VALVE OPENING
EFFECT OF CULVERT EXPANSIONS ONVALVE LOSS COEFFICIENTS
PLATE 7
0
4
0
TYWE 6
0
o TYPEES
TYE2
x TYPE s4, TYPE 3
TYPE 70o TYPES 8
04L PERCENT VALVE OPENING 708
EFFECT OF CULVERTEXPANSION LOCATION ON
VALVE LOSS COEFFICIENTS
PLATE 8
23 -T I -
1i? 000 0
20 JO 0,V V P N
19 41l.
10-
ID
w 40%
o 9E-
35
60%
BEGINING OF ROOF EXPANSION 0VALVE HEIGHTS DOWNSTREAM FROM VALVE
EFFECT OF ROOF EXPANSION BEGINNINGON VALVE LOSS COEFFICIENTS
PLATE 9
z-J
U
C,,
- 0
oo It~
z z
2 2 5
N 0 4 c <I
m .I a >x (L z
0 w .D (L U
I I
0 0
M - I a.IU
PLT 10
In accordance with letter from l';,d.-RDC, AEN-ASI dated22 July 1977, Subject: Facsimile Catalog Cards forLaboratory Technical Publications, a facsimile catalogcard in Library of Congress MARC format is reproducedbelow.
Pickering, Glenn A.Lock culvert valve, locs so int hydraulic
laboratory investirati-,n ' by A. Pickering(Hydrauli*cs Laboratcrv, Army .Enineer WaterwaysExperiment Station). - Vicksburr, 'i ss : The StationSpringfield, V'. labe :'ror NTIs, 199i.
15, [2!] p., 10 . , 1te : 1. ; 27 cm. --(TecIhnical report / :'. ,rmy !nvuer WatervaysExperiment Statin * HE--ICover title."September 1981Final report."Prepared for S)ffic, Chie" of Engineers, U.S. Army."1. Culverts. '. Locks (Hydraulic engineering).
3. Pressure--Measurement. 4. Valves. I. United States.
Army. Corps of Engineers. ffice of the Chief of Engineers.
II. U.S. Army Engineer Waterways Experiment Station.Hydraulics Laboratory. III. Title V. Series: Technicalreport (U.S. Army Engineer Waterways Experiment Station)HL-81-10.
TA7.W3 no.HL-,ql-1
i I
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