www.swagelok.co.jp 6 000 psig.0 MPa 1 ISA S71, Flow Equations for Sizing Control Valves 1 1 C v 2 1 2 1 C v
2 3ISA C v p 1 p p 2 C v Instrument Society of America ISA 2 3 p q = N 1 C v p G f C v C v q p 1 p 2 p p1 p2 G f G g N 1 N 2 T 1 K C + 273 R F + 460 p = p 1 p 2 p 1 p 2 C v 6 7 C v G f q p 1 p 2
3 p 1 p 2 p 1 p 2 p 1 p 2 p 2 < 1/2p 1 q p 2 p 1 q p 2 > 1/2p 1 p 2 = 1/2p 1 q p 2 p 1 G g 2 p q = N 2 C v p 1 (1 ) 3p 1 T 1 p 1 p 2 C v p p 1 G g T 1 p 2 > 1/2p 1 q p 2 p 1 C v q = 0.471 N 2 C v p 1 1 G g T 1 p 2 < 1/2p 1 8 9 C v p p 1 G g T 1 p 1 p 2 q C v 11 C v
4 4 % +80 +60 +40 + 0 40 +80 5 % +40 0 40 80 1 G f G g G 80 % 34 % 26 % 14 % 4 % 93 % 74 % 53 % 24 % % 5
5 6816 std L/min kg/cm 2 C N q p T 1 N 1..... U.S. gal/min psia 0.833 Imperial gal/min psia 14.42 L/min bar ***** K L/min MPa 14.28 L/min kg/cm 2 N 2.... 22.67 std ft 3 /min psia R 6950 std L/min bar K ***** std L/min MPa K 40 C 12 11 % 6 % ISA standards S71 S72 ISA 1. ISA S71, Flow Equations for Sizing Control Valves, Standards and Recommended Practices for Instrumentation and Control, th ed., Vol. 2, 1989. 2. ISA S72, Control Valve Capacity Test Procedure, Standards and Recommended Practices for Instrumentation and Control, th ed., Vol. 2, 1989. 6 40 C % L. Driskell, Control-Valve Selection and Sizing, ISA, 1983. J.W. Hutchinson, ISA Handbook of Control Valves, 2nd ed., ISA, 1976. Chemical Engineers Handbook, 4th ed., Robert H. Perry, Cecil H. Chilton, and Sidney D. Kirkpatrick, Ed., McGraw-Hill, New York. Instrument Engineers Handbook, revised ed., Béla G. Lipták and Kriszta Venczel, Ed., Chilton, Radnor, PA. Piping Handbook, 5th ed., Reno C. King, Ed., McGraw-Hill, New York. Standard Handbook for Mechanical Engineers, 7th ed., Theodore Baumeister and Lionel S. Marks, Ed., McGraw-Hill, New York.
6 000 8000 6000 4000 3000 00 U.S. gal/min0 800 600 400 300 C v = 0.0005 0.00 0.0025 0.0050 0 0.0 80 60 40 0.025 0.050 0. 30 psi 0.001 0.002 0.003 0.006 0.01 0.02 0.03 0.04 0.06 0.08 0.1 0.2 0.3 0.4 0.6 0.8 2.0 0 800 600 400 300 0. 0 0.50 80 60 2.5 40 30 8 6 4 3 25 50 250 2 1 1 2 3 4 6 8 30 40 60 80 0 300 400 600 8000 U.S. gal/min p 60 psi q 4 U.S. gal/min C v C v 0.50
7 L/min 80 60 40 30 8.0 6.0 C v = 0.0005 0.00 4.0 3.0 2.0 0.0025 0.0050 0.0 0.8 0.6 0.025 0.050 0.4 0.3 0. 0.2 MPa L/min0.1 0.004 0.006 8.0 6.0 4.0 3.0 2.0 0.8 0.6 0.4 0.3 0.2 0.1 0.08 0.06 0.04 0.03 0.02 0.01 0.01 0.02 0.03 0.04 0.06 0.01 0.2 0.3 0.4 0.6 0.8 2.0 3.0 4.0 6.0 0. 0.50 4 6 8 30 40 60 80 0 300 400 600 800 0 2.5 25 50 250 00 3000 4000 p 3.00 MPa q 0.2 L/min C v C v 0.0025
std ft /min3 8 std ft 3 /min 3000 00 250 psi 500 psi 0 psi 800 50 psi 600 400 300 psig 0 80 60 40 30 25 psi psi p = 5 psi 30 40 50 60 80 0 300 400 500 600 800 0 p 1 0 psig p 25 psi C v q 65 std ft 3 /min C v
9 std L/min 8.0 0.50 MPa 0 MPa 2.50 MPa 6.0 MPa 4.0 0. MPa 0.05 MPa 3.0 p 0.025 MPa MPa 2.0 0.8 0.6 0.5 0.4 0.3 0.2 300 400 600 800 0 00 3000 4000 6000 8000 000 000 30 000 std L/min p 1.0 MPa p 0. MPa C v q 4000 std L/min C v
std ft 3 /min 3000 00 0 800 600 500 400 300 0 C v C= v 0.0005 0.00 0.0025 0.0050 0.0 psig std ft /min3 80 60 50 40 30 0.01 0.02 0.03 0.04 0.06 0.08 0.1 0.2 0.3 0.4 0.6 0.8 2.0 3.0 4.0 6.0 8.0 0 800 600 500 400 300 0 80 60 50 40 30 0. 0.50 2.5 30 40 60 80 0 300 400 600 8000 00 3000 4000 6000 000 0.025 25 0.050 50 0. 0.50 250 p 1 0 psig q std ft 3 /min C v C v 0.
11 std L/min 8.0 6.0 4.0 3.0 C v = 0.0005 0.00 2.0 0.0025 0.0050 0.0 0.8 0.6 0.5 0.4 0.3 0.025 0.050 0. 0.2 0.3 0.4 0.6 0.8 2 3 4 6 8 30 40 60 80 0 300 MPa 8.0 6.0 4.0 0.050 0. 3.0 0.50 2.0 2.5 0.8 0.6 0.5 0.4 0.3 25 50 250 0.2 0 300 400 600 800 0 00 3000 4000 6000 000 000 40 000 60 000 000 0 000 std L/min p 1 2.00 MPa q 4000 std L/min C v C v
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