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Flow coefficient

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The use of the flow coefficient offers a standard method of comparing valve capacities and sizing valves for specific applications that is widely accepted by industry. The general definition of the flow coefficient can be expanded into equations modeling the flow of liquids, gases and steam using the
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For air flow at room temperature, when the outlet pressure is less than 1/2 the absolute inlet pressure, the flow becomes quite simple (although it reaches sonic velocity internally). With
179:= 1.0 and 200 psia inlet pressure, the flow is 100 standard cubic feet per minute (scfm). The flow is proportional to the absolute inlet pressure, so the flow in scfm would equal the 147:
is the volume (in US gallons) of water at 60 °F (16 °C) that will flow per minute through a valve with a pressure drop of 1 psi (6.9 kPa) across the valve.
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flow coefficient if the inlet pressure were reduced to 2 psia and the outlet were connected to a vacuum with less than 1 psi absolute pressure (1.0 scfm when
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for the same assembly can be used with a more complex equation. Absolute pressures (psia) must be used for gas rather than simply differential pressure.
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factor or value as it is also called is defined in VDI/VDE Richtlinien No. 2173. A simplified version of the definition is: The k
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when the valve is completely open. The complete definition also says that the flow medium must have a density of
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factor of a valve indicates "The water flow in m/h, at a pressure drop across the valve of
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Fluidic characteristic quantities of control valves and their determination
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Strömungstechnische Kenngrößen von Stellventilen und deren Bestimmung
401: 266:{\displaystyle K_{\text{v}}=Q{\sqrt {\frac {\text{SG}}{\Delta P}}},} 99:{\displaystyle C_{\text{v}}=Q{\sqrt {\frac {\text{SG}}{\Delta P}}},} 563: 454: 309:
is the differential pressure across the device (expressed in bar).
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of a device is a relative measure of its efficiency at allowing
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is the pressure drop across the valve (expressed in psi).
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is the rate of flow (expressed in US gallons per minute),
51:(or flow-capacity rating of valve) can be expressed as 16:
Measure of a device's efficiency at allowing fluid flow
374:{\displaystyle C_{\text{v}}=1.156\cdot K_{\text{v}}.} 338: 226: 59: 373: 265: 98: 595: 27:flow. It describes the relationship between the 35:valve or other assembly and the corresponding 158:For gas flow in a pneumatic system the 596: 287:is the flow factor (expressed in m/h), 218:) is calculated using metric units: 42:Mathematically the flow coefficient 293:is the flowrate (expressed in m/h), 13: 479: 250: 83: 14: 615: 538: 506: 473: 447: 419: 200: 1: 412: 300:of the fluid (for water = 1), 135:In more practical terms, the 122:of the fluid (for water = 1), 7: 582: 197:= 1.0, 2 psia input). 10: 620: 486:: what, why, how, whence?" 513:"Control Valve Sizing". 321:can be calculated from 566:. September 2007. 2173 516:Control Valve Handbook 432:. Technical Bulletin. 375: 267: 205:The metric equivalent 100: 589:Discharge coefficient 376: 268: 153:discharge coefficient 101: 336: 224: 57: 491:. Technical paper. 330:using the equation 371: 263: 96: 365: 346: 258: 257: 248: 234: 91: 90: 81: 67: 611: 576: 575: 573: 571: 557: 542: 536: 535: 533: 531: 526:. September 2019 524:Emerson Electric 522:(5th ed.). 521: 510: 504: 503: 501: 499: 490: 480:Boysen, Herman. 477: 471: 470: 468: 466: 451: 445: 444: 442: 440: 431: 423: 409: 407: 400:and a kinematic 399: 395: 380: 378: 377: 372: 367: 366: 363: 348: 347: 344: 329: 320: 308: 298:specific gravity 292: 286: 272: 270: 269: 264: 259: 256: 246: 245: 244: 236: 235: 232: 217: 196: 187: 178: 166: 146: 137:flow coefficient 130: 120:specific gravity 114: 105: 103: 102: 97: 92: 89: 79: 78: 77: 69: 68: 65: 50: 21:flow coefficient 619: 618: 614: 613: 612: 610: 609: 608: 594: 593: 585: 580: 579: 569: 567: 555: 544: 543: 539: 529: 527: 519: 512: 511: 507: 497: 495: 488: 485: 478: 474: 464: 462: 458: 453: 452: 448: 438: 436: 429: 425: 424: 420: 415: 405: 397: 393: 391: 387: 383: 362: 358: 343: 339: 337: 334: 333: 328: 322: 319: 313: 303: 290: 285: 279: 249: 243: 231: 227: 225: 222: 221: 216: 210: 203: 195: 189: 186: 180: 177: 171: 165: 159: 145: 139: 125: 112: 82: 76: 64: 60: 58: 55: 54: 49: 43: 17: 12: 11: 5: 617: 607: 606: 604:Fluid dynamics 592: 591: 584: 581: 578: 577: 537: 505: 483: 472: 456: 446: 427:"Valve Sizing" 417: 416: 414: 411: 398:1000 kg/m 389: 385: 370: 361: 357: 354: 351: 342: 326: 317: 311: 310: 301: 294: 288: 283: 262: 255: 252: 242: 239: 230: 214: 202: 199: 193: 184: 175: 163: 143: 133: 132: 123: 116: 95: 88: 85: 75: 72: 63: 47: 15: 9: 6: 4: 3: 2: 616: 605: 602: 601: 599: 590: 587: 586: 565: 561: 553: 549: 548: 541: 525: 518: 517: 509: 494: 487: 476: 460: 450: 435: 428: 422: 418: 410: 408:, e.g. water. 403: 394:1 kgf/cm 381: 368: 359: 355: 352: 349: 340: 331: 325: 316: 307: 302: 299: 295: 289: 282: 278: 277: 276: 273: 260: 253: 240: 237: 228: 219: 213: 208: 198: 192: 183: 174: 168: 162: 156: 154: 148: 142: 138: 129: 124: 121: 117: 111: 110: 109: 106: 93: 86: 73: 70: 61: 52: 46: 40: 38: 34: 30: 29:pressure drop 26: 22: 568:. Retrieved 558:(Standard). 551: 546: 540: 528:. Retrieved 515: 508: 496:. Retrieved 492: 475: 463:. Retrieved 449: 437:. Retrieved 433: 421: 382: 332: 323: 314: 312: 305: 280: 274: 220: 211: 206: 204: 190: 181: 172: 169: 160: 157: 149: 140: 136: 134: 127: 107: 53: 44: 41: 20: 18: 530:26 February 459:Calculator" 406:10 m/s 207:flow factor 201:Flow factor 461:. Generant 413:References 296:SG is the 118:SG is the 31:across an 402:viscosity 356:⋅ 251:Δ 84:Δ 37:flow rate 598:Category 583:See also 570:17 April 498:21 April 465:21 April 439:21 April 434:Swagelok 493:Danfoss 33:orifice 554:] 275:where 108:where 556:(PDF) 550:[ 520:(PDF) 489:(PDF) 430:(PDF) 384:The k 353:1.156 25:fluid 572:2020 532:2022 500:2020 467:2020 441:2020 19:The 564:VDE 560:VDI 404:of 600:: 562:, 482:"k 455:"C 247:SG 155:. 80:SG 39:. 574:. 534:. 502:. 484:V 469:. 457:v 443:. 390:v 386:v 369:. 364:v 360:K 350:= 345:v 341:C 327:v 324:C 318:v 315:K 306:P 304:∆ 291:Q 284:v 281:K 261:, 254:P 241:Q 238:= 233:v 229:K 215:v 212:K 209:( 194:v 191:C 185:v 182:C 176:v 173:C 164:v 161:C 144:v 141:C 128:P 126:Δ 113:Q 94:, 87:P 74:Q 71:= 66:v 62:C 48:v 45:C

Index

fluid
pressure drop
orifice
flow rate
specific gravity
discharge coefficient
specific gravity
viscosity
"Valve Sizing"
"Cv Calculator"
"kV: what, why, how, whence?"
Control Valve Handbook
Emerson Electric
Strömungstechnische Kenngrößen von Stellventilen und deren Bestimmung
VDI
VDE
Discharge coefficient
Category
Fluid dynamics

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