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Research Papers: Gas Turbines: Controls, Diagnostics, and Instrumentation

Further Experiments and Investigations for Discharge Coefficient of PTC 6 Flow Nozzle in a Wide Range of Reynolds Number

[+] Author and Article Information
Noriyuki Furuichi

National Institute of Advanced
Industrial Science and Technology,
National Metrology Institute of Japan,
Tsukuba-Central 3, 1-1-1 Umezono,
Tsukuba 305-3563, Japan
e-mail: furuichi.noriyuki@aist.go.jp

Yoshiya Terao

National Institute of Advanced
Industrial Science and Technology,
National Metrology Institute of Japan,
Tsukuba-Central 3, 1-1-1 Umezono,
Tsukuba 305-3563, Japan
e-mail: terao.yoshiya@aist.go.jp

Shinichi Nakao

Flow Measurement Consulting
Laboratory Flow Col,
Youkoudai 4-27-7, Isogo-ku,
Yokohama 235-0045, Japan
e-mail: flowcol@flowcol.com

Keiji Fujita

Flow Engineering Co., Ltd.,
Tsuruyacho 2-13-2,
Kanagawa-ku,
Yokohama 221-0835, Japan
e-mail: k-fujita@floweng.co.jp

Kazuo Shibuya

Flow Engineering Co., Ltd.,
Tsuruyacho 2-13-2,
Kanagawa-ku,
Yokohama 221-0835, Japan
e-mail: k-shibuya@floweng.co.jp

Contributed by the Controls, Diagnostics and Instrumentation Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received July 28, 2015; final manuscript received July 31, 2015; published online October 21, 2015. Editor: David Wisler.

J. Eng. Gas Turbines Power 138(4), 041605 (Oct 21, 2015) (11 pages) Paper No: GTP-15-1376; doi: 10.1115/1.4031310 History: Received July 28, 2015; Revised July 31, 2015

The discharge coefficients of the flow nozzles based on ASME PTC 6 are measured in a wide range of Reynolds number from Red = 5.8 × 104 to Red = 1.4 × 107, and the equations of the discharge coefficients are developed for the laminar, the transitional, and the turbulent flow ranges. The equation of the discharge coefficient consists of a nominal discharge coefficient and the tap effect. The nominal discharge coefficient is the discharge coefficient without tap, which is experimentally determined from the discharge coefficients measured for different tap diameters. The tap effects are correctly obtained by subtracting the nominal discharge coefficient from the discharge coefficient measured. The deviation of the present experimental results from the equations developed is from −0.06% to 0.04% for 3.0 × 106 < Red < 1.4 × 107 and from −0.11% to 0.16% for overall Reynolds number range examined. The developed equations are expected to be capable of estimating the discharge coefficient of the throat tap nozzle defined in PTC 6 with a high accuracy and contribute for the high accurate evaluation of steam turbines in power plants.

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References

ASME, 2004, “Steam Turbines, Performance Test Codes,” American Society of Mechanical Engineers, New York, ASME PTC 6:2004.
Simmons, F. S. , 1955, “ Analytic Determination of the Discharge Coefficients of Flow Nozzles,” National Advisory Committee for Aeronautics, Washington, DC, Report No. NACA TN 3447.
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Sumner, W. J. , and Albert, P. G. , 1984, “ Static Pressure Tap Correction for the ASME Throat Tap Nozzle,” American Society of Mechanical Engineers, New York.
Murdock, J. W. , and Keyser, D. R. , 1991, “ Theoretical Basis for Extrapolation of Calibration Data of PTC 6 Throat Tap Nozzles,” ASME J. Eng. Gas Turbines Power, 113(2), pp. 228–232. [CrossRef]
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Furuichi, N. , Cheong, K. H. , Terao, Y. , Nakao, S. , Fujita, K. , and Shibuya, K. , 2013, “ New Discharge Coefficient of Throat Tap Nozzle Based on ASME Performance Test Code 6 for Reynolds Number From 2.4 × 105 to 1.4 × 107,” ASME J. Fluid Eng., 136(1), p. 011105. [CrossRef]
Furuichi, N. , Sato, H. , Terao, Y. , and Takamoto, M. , 2009, “ A New Calibration Facility of Flowrate for High Reynolds Number,” Flow Meas. Instrum., 20(1), pp. 38–47. [CrossRef]
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ASME, 1976, “Steam Turbines, Performance Test Codes,” American Society of Mechanical Engineers, New York, ASME PTC 6:1976.
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Figures

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Fig. 1

Schematic of flow nozzle (nozzle A)

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Fig. 2

Experimental facilities: (a) Hi-Reff, (b) calibration facility with weighing tank system, and (c) prover system

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Fig. 3

Schematic diagram of measurement: (a) Hi-Reff, (b) weighing tank system, and (c) prover system

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Fig. 4

Discharge coefficient of nozzle A

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Fig. 5

Discharge coefficient of nozzle B: (a) tap 1 for different temperature and (b) all tap

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Fig. 6

Comparison tap 4 of nozzle A and tap 1 of nozzle B

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Fig. 7

Comparison with previous experimental results for Red < 106

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Fig. 8

Schematic of boundary layer in flow nozzle

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Fig. 9

Comparison with previous theoretical analyses for Red < 106

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Fig. 10

Comparison with experimental data by Reader-Harris et al. [13,21] for several tap diameters

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Fig. 11

Comparison with previous theoretical analyses for Red > 106

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Fig. 12

Relation between discharge coefficient and size of tap diameter

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Fig. 13

Behavior of nominal discharge coefficient and comparison with previous analyses

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Fig. 14

Comparison with nominal discharge coefficient and proposal theoretical discharge coefficient

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Fig. 15

Behavior of normalized tap effect

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