Control Valves

Chapter 6 - Sizing

This chapter consists of an introduction to the ANSI/ISA S75.01 standard, "Flow Equations for Sizing Control Valves," followed by the latest version of this standard. Few changes are expected in later versions. However, refinements for calculating flow coefficients for very small flows and for viscous fluids are expected. Moreover, according to Dr. Hans Baumann [Ref. 1], changes are probable for the valve-style modifier Fd . Chapter 22 of this book addresses sizing by a computer program.

Required Calculations

There are several calculations used in sizing. Among them are the following:

  1. For required flow coefficient
  2. For choked possibility, cavitation, and noise
  3. For actuator
  4. For pipe size vs. valve size
  5. For acceptable velocity

It takes an energy drop of the fluid through the valve for the control valve to "control." A control valve should have available at least 10% of the system pressure drop for acceptable control and up to 30% of the system drop for good control. The "loss" of energy through the valve is loss of available energy to the " fluid, but it is accounted for by the heat generated, the noise production, the material removal, vibration, and sometimes by the increase in kinetic energy.

Control valves are not "sized"; at least a user does not calculate a size. They are chosen from a fixed series of body sizes (the same as standard pipe sizes) and types to satisfy the needs of the process conditions. Aside from rules of thumb, the calculations for the flow coefficient from process conditions are detailed in the ISA standard ANSI/ISA S75.01. The scope of the standard indicates that the equations are not intended to be used for mixed-phase fluids, non-Newtonian fluids, slurries, and dry solids. Noise, choked flow, and actuator calculations are discussed in this book (Chapters 8 and 9).

Flow Coefficient

From process flow requirements, a calculated flow coefficient (Cv from customary U.S. units; Avand Kvin SI or metric units) is compared to manufacturers' capacity charts. While the dimensions and units on the three flow coefficients are different, they are related numerically. The relationship is explained in the international standard IEC-534-1 "Control Valve Terminology and General Considerations" [Ref. 2].

Often several models of valves as well as several different sizes from many manufacturers can be chosen for each application. Chapter 14, which discusses valve selection, will assist in narrowing the choice.

The Cv concept for a valve originated in the 1940s as a sizing technique (see Chapter 2 for historical background). It was defined as the number of gallons of water that would pass through a valve with a one pound per square inch (psi) pressure drop:

08_Chapter_6-1.jpg

Hence, the sizing standard S75.01. In metric units, with q in cubic meters per hour and pressure drop in bar,

08_Chapter_6-2.jpg

In order to calculate the flow coefficient for various types of valves, various types of fluids, and in pipes that are different sizes than the valves, various factors are applied to the simple equation. As more data become available, the sizing equations, or at least the factors, are being refined. The ISA Control Valve Standards Committee SP75 and its Control Valve Sizing Subcommittee meet at least once a year and consider changes.

An interesting rule of thumb for straight-through globe valve capacity: square the nominal valve size in inches and multiply by 10 for the wide-open valve flow coefficient; that is, Cv For a 2-inch valve, 2 x 2 x 10 = 40. Thus, a 1-psi pressure drop through an open 2-inch valve will flow 40 gpm. For a 10-inch valve, 10 x 10 x 10 = 1000, At least one manufacturer has designed one line of valves to meet this rule.

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