The throat tap nozzle of the American Society of Mechanical Engineers performance test code (ASME PTC) 6 is widely used in engineering fields, and its discharge coefficient is normally estimated by an extrapolation in Reynolds number range higher than the order of 107. The purpose of this paper is to propose a new relation between the discharge coefficient of the throat tap nozzle and Reynolds number by a detailed analysis of the experimental data and the theoretical models, which can be applied to Reynolds numbers up to 1.5 × 107. The discharge coefficients are measured for several tap diameters in Reynolds numbers ranging from 2.4 × 105 to 1.4 × 107 using the high Reynolds number calibration rig of the National Metrology Institute of Japan (NMIJ). Experimental results show that the discharge coefficients depend on the tap diameter and the deviation between the experimental results and the reference curve of PTC 6 is 0.75% at maximum. New equations to estimate the discharge coefficient are developed based on the experimental results and the theoretical equations including the tap effects. The developed equations estimate the discharge coefficient of the present experimental data within 0.21%, and they are expected to estimate more accurately the discharge coefficient of the throat tap nozzle of PTC 6 than the reference curve of PTC 6.

References

1.
ASME
,
2004
, “
Steam Turbines, Performance Test Codes
,” ASME PTC 6-2004.
2.
Buckland
,
B. O.
,
1934
, “
Fluid—Meter Nozzles
,”
Trans. ASME
,
56
, pp.
827
832
. Available at: http://cybra.lodz.pl/Content/6301/FSP_56_14.pdf
3.
Simmons
,
F. S.
,
1955
, “
Analytic Determination of the Discharge Coefficients of Flow Nozzles
,” Report No. NACA TN 3447.
4.
Rivas
,
M. S.
, and
Shapiro
,
A. H.
,
1956
, “
On the Theory of Discharge Coefficients for Rounded Entrance Flow Meters and Venturis
,”
Trans. ASME
,
78
, pp.
489
497
.
5.
Hall
,
G. W.
,
1959
, “
Application of Boundary Layer Theory to Explain Some Nozzle and Venturi Flow Peculiarities
,”
Proc. Inst. Mech. Eng.
,
173
(
36
), pp.
837
870
.10.1243/PIME_PROC_1959_173_066_02
6.
Benedict
,
R. P.
, and
Wyler
,
J. S.
,
1978
, “
Analytical and Experimental Studies of ASME Flow Nozzles
,”
ASME J. Fluids Eng.
,
100
(
3
), pp.
265
274
.10.1115/1.3448661
7.
Murdock
,
J. W.
, and
Keyster
,
D. R.
,
1991
, “
Theoretical Basis for Extrapolation of Calibration Data of PTC 6 Throat Tap Nozzles
,”
ASME J. Eng. Gas Turbines Power
,
113
, pp.
228
232
.10.1115/1.2906549
8.
Murdock
,
J. W.
, and
Keyster
,
D. R.
,
1991
, “
A Method for the Extrapolation of Calibration Data of PTC 6 Throat Tap Nozzles
,”
ASME J. Eng. Gas Turbines Power
,
113
, pp.
233
241
.10.1115/1.2906550
9.
Reader-Harris
,
M.
,
Gibson
,
J.
,
Hodges
,
D.
,
Nicholson
, I
. G.
, and
Rushworth
,
R.
,
2007
, “
The Performance of Flow Nozzles at High Reynolds Number
,”
Proceedings of FLOMEKO 14
, Johannesburg, South Africa.
10.
Furuichi
,
N.
,
Terao
,
Y.
, and
Takamoto
,
M.
,
2009
, “
A New Calibration Facility of Flowrate for High Reynolds Number
,”
Flow Meas. Instrum.
,
20
(
1
), pp.
38
47
.10.1016/j.flowmeasinst.2008.11.001
11.
Paik
,
J. S.
,
Lee
,
K. B.
,
Lau
,
P.
,
Engel
,
R.
,
Loza
,
A.
,
Terao
,
Y.
, and
Reader-Harris
,
M.
,
2007
, “
Final Report on CCM. FF-K1 for Water
,”
Metrologia
,
44
(
Tech. Suppl.
), p.
07005
.10.1088/0026-1394/44/1A/07005
12.
Wagner
,
W.
, and
Kretzschmar
,
H. J.
,
2008
,
International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97
,
Springer
,
New York
.
13.
ASME
,
1976
, “
Steam Turbines, Performance Test Codes
,” ANSI/ASME PTC 6-1976.
14.
Reader-Harris
,
M.
,
2009
, “
Flow Measurement and Energy
,”
Proceedings of FLOEMEKO 15
, Taipei, Taiwan.
15.
International Organization for Standardization, 2008, “Uncertainty of Measurement—Part 3: Guide to the Expression of Uncertainty in Measurement (GUM:1995),” ISO/IEC Guide 98-3:2008.
16.
Furuichi
,
N.
,
Terao
,
Y.
, and
Takamoto
,
M.
,
2009
, “
Calibration Facilities for Water Flowrate in NMIJ
,”
Proceedings of the 7th ISFFM
, Anchorage, AK.
17.
Schlichting
,
H.
, and
Gersten
,
K.
,
1999
,
Boundary Layer Theory–8th revised and enlarged edition
,
Springer
,
New York
.
18.
Shaw
,
R.
,
1960
, “
The Influence of Hole Dimensions on Static Pressure Measurements
,”
J. Fluid Mech.
,
7
, pp.
550
564
.10.1017/S0022112060000281
19.
Gibson
,
J.
,
Reader-Harris
,
M.
, and
Gilchrist
,
A.
,
1999
, “
CFD Analysis of the Static Hole Error Caused by Tapping Venturi Meters Operating in High-Pressure Gas
,”
Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference
, Paper No. FEDSM99-7149.
20.
Reader-Harris
,
M.
,
Brunton
,
J. J. M.
,
Gibson
,
J.
,
Hodges
,
D.
, and
Nicholson
,
I. G.
,
2001
, “
Discharge Coefficients of Venturi Tubes With Standard and Non-Standard Convergent Angles
,”
Flow Meas. Instrum.
,
12
, pp.
135
145
.10.1016/S0955-5986(01)00007-3
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