Valve Sizing and Selection
Sizing
flow valves is a science with many rules of thumb that few people agree on. In this
article I'll try to define a more standard procedure for sizing a valve as well as helping
to select the appropriate type of valve. **Please note that the correlation within
this article are for turbulent flow
STEP #1: Define the system
The system is pumping water from one tank to another through a
piping system with a total pressure drop of 150 psi. The fluid is water at 70 0F.
Design (maximum) flowrate of 150 gpm, operating flowrate of 110 gpm, and a minimum
flowrate of 25 gpm. The pipe diameter is 3 inches. At 70 0F, water
has a specific gravity of 1.0.
Key Variables: Total pressure drop, design flow, operating
flow, minimum flow, pipe diameter, specific gravity
STEP #2: Define a maximum allowable pressure drop for the
valve
When defining the allowable pressure drop across the valve, you should first
investigate the pump. What is its maximum available head? Remember that the
system pressure drop is limited by the pump. Essentially the Net Positive Suction
Head Available (NPSHA) minus the Net Positive Suction Head Required (NPSHR) is the maximum
available pressure drop for the valve to use and this must not be exceeded or another pump
will be needed. It's important to remember the trade off, larger pressure drops
increase the pumping cost (operating) and smaller pressure drops increase the valve cost
because a larger valve is required (capital cost). The usual
rule of thumb is that a valve should be designed to use 10-15% of the total pressure drop
or 10 psi, whichever is greater. For our system, 10% of the total pressure
drop is 15 psi which is what we'll use as our allowable pressure drop when the valve is
wide open (the pump is our system is easily capable of the additional pressure drop).
STEP #3: Calculate the valve characteristic

For our system,

At this point, some people would be tempted to go to the valve charts or characteristic
curves and select a valve. Don't make this mistake, instead, proceed to Step #4!
STEP #4: Preliminary valve selection
Don't make the mistake of trying to match a valve with your calculated Cv value.
The Cv value should be used as a guide in the valve selection, not a hard and fast
rule. Some other considerations are:
a. Never use a valve that is less than half the pipe size
b. Avoid using the lower 10% and upper 20% of the valve
stroke. The valve is much easier to control in the 10-80% stroke range.
Before a valve can be selected, you have to decide what type of valve will
be used (See the list of valve types later in this article). For
our case, we'll assume we're using an equal percentage, globe valve (equal percentage will
be explained later). The valve chart for this type of valve is shown below.
This is a typical chart that will be supplied by the manufacturer (as a matter of fact, it
was!)

For our case, it appears the 2 inch valve will work well for our Cv value
at about 80-85% of the stroke range. Notice that we're not trying to squeeze our Cv
into the 1 1/2 valve which would need to be at 100% stroke to handle our maximum flow.
If this valve were used, two consequences would be experienced: the pressure
drop would be a little higher than 15 psi at our design (max) flow and the valve would be
difficult to control at maximum flow. Also, there would be no room for error with
this valve, but the valve we've chosen will allow for flow surges beyond the 150 gpm range
with severe headaches!
So we've selected a valve...but are we ready to order? Not yet,
there are still some characteristics to consider.
STEP #5: Check the Cv and stroke percentage at the minimum
flow
If the stroke percentage falls below 10% at our minimum flow, a
smaller valve may have to be used in some cases. Judgements plays role in many
cases. For example, is your system more likely to operate closer to the maximum
flowrates more often than the minimum flowrates? Or is it more likely to operate
near the minimum flowrate for extended periods of time. It's difficult to find the
perfect valve, but you should find one that operates well most of the time. Let's
check the valve we've selected for our system:

Referring back to our valve chart, we see that a Cv of 6.5 would correspond to a stroke
percentage of around 35-40% which is certainly acceptable. Notice that we used the
maximum pressure drop of 15 psi once again in our calculation. Although the pressure
drop across the valve will be lower at smaller flowrates, using the maximum value gives us
a "worst case" scenario. If our Cv at the minimum flow would have been
around 1.5, there would not really be a problem because the valve has a Cv of 1.66 at 10%
stroke and since we use the maximum pressure drop, our estimate is conservative.
Essentially, at lower pressure drops, Cv would only increase which in this case would be
advantageous.
STEP #6: Check the gain across applicable flowrates
Gain is defined as:

Now, at our three flowrates:
Qmin = 25 gpm
Qop = 110 gpm
Qdes = 150 gpm
we have corresponding Cv values of 6.5, 28, and 39. The corresponding stroke
percentages are 35%, 73%, and 85% respectively. Now we construct the following
table:
| Flow (gpm) |
Stroke (%) |
Change in flow (gpm) |
Change in Stroke (%) |
| 25 |
35 |
110-25 = 85 |
73-35 = 38 |
| 110 |
73 |
| 150 |
85 |
150-110 = 40 |
85-73 = 12 |
| |
Gain #1 = 85/38 = 2.2
Gain #2 = 40/12 = 3.3
The difference between these values should be less than 50% of the higher
value.
0.5 (3.3) = 1.65
and 3.3 - 2.2 = 1.10. Since 1.10 is less than 1.65, there should be no problem in
controlling the valve. Also note that the gain should never be
less than 0.50. So for our case, I believe our selected valve will do nicely!
OTHER NOTES:
Another valve characteristic that can be examined is called the choked flow. The relation uses the FL value found
on the valve chart. I recommend checking the choked flow for vastly different
maximum and minimum flowrates. For example if the difference between the maximum and
minimum flows is above 90% of the maximum flow, you may want to check the choked flow.
Usually, the rule of thumb for determining the maximum pressure drop across the
valve also helps to avoid choking flow.
SELECTING A VALVE TYPE
When speaking of valves, it's easy to get lost in the terminology. Valve
types are used to describe the mechanical characteristics and geometry (Ex/ gate,
ball, globe valves). We'll use valve control to refer to how the valve travel
or stroke (openness) relates to the flow:
1. Equal Percentage: equal increments of valve travel produce an
equal percentage in flow change
2. Linear: valve travel is directly proportional to the valve stoke
3. Quick opening: large increase in flow with a small change in valve
stroke
So how do you decide which valve control to use? Here are some rules
of thumb for each one:
1. Equal Percentage (most commonly used valve control)
a. Used in processes where large changes in pressure drop are expected
b. Used in processes where a small percentage of the total pressure drop is
permitted by the valve
c. Used in temperature and pressure control loops
2. Linear
a. Used in liquid level or flow loops
b. Used in systems where the pressure drop across the valve is expected to remain
fairly constant (ie. steady state systems)
3. Quick Opening
a. Used for frequent on-off service
b. Used for processes where "instantly" large flow is needed (ie. safety
systems or cooling water systems)
Now that we've covered the various types of valve control, we'll take a
look at the most common valve types.
Gate Valves
Best Suited Control: Quick Opening
Recommended Uses:
1. Fully open/closed, non-throttling
2. Infrequent operation
3. Minimal fluid trapping in line
Applications: Oil, gas, air, slurries, heavy liquids, steam, noncondensing
gases, and corrosive liquids
Advantages:
Disadvantages:
1. High capacity
1. Poor control
2. Tight shutoff
2. Cavitate at low pressure drops
3. Low cost
3. Cannot be used for throttling
4. Little resistance to flow
Globe Valves
Best
Suited Control: Linear and Equal percentage
Recommended Uses:
1. Throttling service/flow regulation
2. Frequent operation
Applications: Liquids, vapors, gases, corrosive substances,
slurries
Advantages:
Disadvantages:
1. Efficient throttling
1.
High pressure drop
2. Accurate flow control 2. More
expensive than other valves
3. Available in multiple ports
Ball Valves
Best
Suited Control: Quick opening, linear
Recommended Uses:
1. Fully open/closed, limited-throttling
2. Higher temperature fluids
Applications: Most liquids, high temperatures, slurries
Advantages:
Disadvantages:
1. Low cost
1. Poor throttling characteristics
2. High capacity
2. Prone to cavitation
3. Low leakage and maint.
4. Tight sealing with low torque
Butterfly Valves
Best
Suited Control: Linear, Equal percentage
Recommended Uses:
1. Fully open/closed or throttling services
2. Frequent operation
3. Minimal fluid trapping in line
Applications: Liquids, gases, slurries, liquids with
suspended solids
Advantages:
Disadvantages:
1. Low cost and maint. 1. High
torque required for control
2. High capacity
2. Prone to cavitation at lower flows
3. Good flow control
4. Low pressure drop
Other Valves
Another type of valve commonly used in conjunction with other
valves is called a check valve. Check valves are designed to restrict the
flow to one direction. If the flow reverses direction, the check valve closes.
Relief valves are used to regulate the operating pressure of incompressible
flow. Safety valves are used to release excess pressure in gases or
compressible fluids.
References:
Rosaler, Robert C., Standard Handbook of Plant Engineering,
McGraw-Hill, New York, 1995, pages 10-110 through 10-122
Purcell, Michael K., "Easily Select and Size Control Valves", Chemical
Engineering Progress, March 1999, pages 45-50 |