by Dr. Sang H. Wong
June 15, 2006

The use of hydrant flow testing data to design automatic sprinkler systems has gotten easier thanks to new computer modeling software.
Hydrant flow testing data provides important information for designing an automatic sprinkler system. In this article, we will look at how the data is gathered at the Insurance Services Office (ISO)1.
Computer models that can accurately simulate the flow of water in sophisticated water supply systems are replacing slide rules and handheld calculators. We will examine here how computer models are calibrated using data from hydrant flow tests.
We’ll also look at hydrant flow testing based on theories of fluid mechanics that were developed by brilliant scientists who lived and worked during the 1700s.
Flow testing has traditionally been a soaking wet and dirty, labor-intensive activity using paper and pencil to record data from handheld gages. We will look at how new computer software and other new technologies are affecting hydrant flow testing.
Fire hydrants are designed as an integral part of public and private water supply networks. Hydrants are not to be located on mains smaller than 6" in diameter, and should be connected to the main by a short run of 6-in. diameter pipe controlled by a gate valve. Hydrants must be tested on a regular basis to ensure that they are capable of delivering water at a pressure and a rate of flow for public health and effective firefighting operations. A water pressure of 20 psi is considered the minimum required for effective firefighting operations and preventing the contamination of public water supplies by backflow.
Major Thomas Adams once tested a hydrant at Keesler AFB in Mississippi and experienced what might possibly be considered a firefighter’s worst nightmare. There was no water flowing from the hydrant. It so happened that the hydrant in question was “at the end of a dead-end branch line and hydrants were being flushed upstream.”2 Looping the branch line solved the problem. This type of scare is of great concern to firefighters and has prompted the insurance industry to develop criteria for the objective assessment of the risk posed by several factors, including inadequate water supplies.
Firefighting efforts can be seriously jeopardized if the pressure and flow at a required hydrant drops below safe levels. Even large fire engines are seldom equipped to carry more than 2,000 gallons of water. That would only provide a few minutes of firefighting capability. Firefighters at the scene of a raging fire rely on the nearest fire hydrant as their main source of additional water available. Fire hoses must route the water from hydrants to the suction side of the pumper on a fire truck. The water is then pumped to attack hoses directed at the fire.
The pump operator determines the pressure drop in the hydrant by comparing the difference between the static and residual pressure. The smaller the pressure drop, relative to the static pressure, the greater will be the amount of additional water available for effective firefighting operations.
The design of automatic fire sprinkler systems is largely dictated by the data from hydrant flow tests. A fire sprinkler hydraulic calculation is a system of accounting that balances demand and supply. The demand is imposed by the pressure and flow requirements of the fire sprinkler system. The supply depends on the available pressure and flow as measured by the hydrant flow test. If the demand imposed by the sprinkler system exceeds what the supply is capable of providing, the design must be adjusted to achieve equilibrium between demand and supply. Pipe sizes may have to be increased to reduce friction losses, or fire pumps may have to be installed to boost the pressure and flow as measured by the hydrant flow test. The fire sprinkler design is closely tied to the data from a hydrant flow test.

Equation 1
Where:
p = friction loss (psi/ft)
Q = flow (gpm)
C = Hazen-Williams C-Factor (dimensionless)
d = pipe diameter (ins)

Equation 2
The Darcy-Weisbach method is based on a determination of the Moody friction factor (f). The Moody f is a function of kinematic viscosity, relative roughness and the Reynolds Number. While this method includes the effects of turbulence at high flow velocities, it is much more complicated to use than the Hazen-Williams equation.
The main equation of flow is based on the one published by Daniel Bernoulli (1700-1782) in his book Hydrodynamica in 1738. The Bernoulli equation is used to analyze fluid flow along a streamline from location 1 to location 2 and is presented in Equation 3.
Where:
z1 and z2 are the elevations (ft) at locations 1 and 2.
r1 and r2 are the pressures (lbs/ft2) at locations 1 and 2.
g is the specific density of water (62.4 lbs/ft3).
n1 and n2 are the velocities (ft/sec) at locations 1 and 2.
g is the constant of gravitational acceleration (32.2 ft/sec2).
hL is the head loss due to friction (ft).

Figure 1. Deriving the Equation of Flow.
We will use a modified Bernoulli equation to derive the equation for estimating the flow from a fire hydrant. We begin by writing the Bernoulli equation between the water surface located at 1 and the orifice located at 2. The procedure used for deriving the equation of flow for a hydrant is similar to one used to determine the flow from an orifice of diameter D ft located at a depth of h ft below the water surface in the water container shown in Figure 1. We then replace z with h, and since the water in Figure 1 does not flow through any piping, the pipe length L equals 0 and hL = 0, as shown in Equation 4.
Since pitot gages are normally calibrated in pounds per square inch (psi), we need to express the velocity pressure measured in feet of head h in terms of P in pounds per square inch. This relationship, expressed in Equation 5, is known as Toricelli’s Law.
As detailed in Figure 1, the flow equation is derived by expressing Q as a function of pitot pressure P (psi) and hydrant diameter D (in) in Equation 6.
Q = c 29.83√P x D²
The discharge coefficient c varies with the type of outlet on the hydrant. In most modern hydrants, the transition between the vertical barrel of the hydrant and the horizontal outlet tends to be smooth and rounded. The operator must feel the inside contour of the hydrant outlet and compare it to the three types of outlets shown in Figure 1 to estimate a discharge coefficient, e.g., the outlet on the left projects into the barrel of the hydrant with a discharge of 0.7. The one on the right has a smooth contour with a discharge coefficient of 0.9.
Figure 2. Hydrant flow testing equipment, including the Cap Pressure Gage, Telog Flow Test, Pitot Pressure Gage & Diffuser and Telog Flow Test Recorder.
A flow test usually involves two fire hydrants. The first one is called the test hydrant or residual hydrant. The second one is called the flow hydrant. A test proceeds as follows:
2. One or more caps on the flow hydrant are opened and the inside diameter of each outlet is measured and recorded. The flow hydrant valve is then fully opened to create a steady flow of water from the outlet. In some cases, the resulting horizontal geyser may be sufficiently disruptive to justify street closures.
3. A pitot gage is used to measure the velocity pressure of the stream issuing from the hydrant. While the pitot pressure is being recorded, a second pressure reading is taken at the test hydrant. This is called the residual pressure. The residual pressure records both the domestic and fire flows occurring in the water main.
4. The final step in the flow test involves shutting down the flow hydrant and taking another static pressure reading as a check on the previous reading. The two readings must be similar. If the second reading is higher, it may be due to a pump automatically starting to meet the demand imposed by the flow test. In that case, the flow test must be repeated after shutting down the pump. There are good reasons to double-check the static pressure. If the second static pressure reading falls very far below the first one recorded, it’s possible that a water main broke during the test. The pitot pressure reading P (psi), the hydrant diameter D (in) and the hydrant coefficient c from Figure 1 can then be used to calculate Q (gpm) using Equation 6.
The Telog HPR-31 fire flow-testing unit is an electronic recording device connected to a Palm Data Transfer Unit, which allows hydrant flow tests to be performed and completed by a single operator, as shown in Figure 2. The unit generates a graph of the pressure and flow profile as a function of time. When the flow hydrant is opened, the residual graph records a precipitous drop in pressure (psi) matched by an equally sharp rise in the flow graph (gpm). The static and residual pressures are also chronologically tabulated. The HPR-31 may be installed on the 2-1/2-in. hydrant nozzle of a standard fire hydrant. The unit may also be connected to a laptop using a watertight RS-232 connector and serial interface cable.5 Electronic testers save labor and time. However, they carry a hefty price tag ($1,397, compared to $600 for traditional kits) and must be regularly calibrated to verify their accuracy.
Technology is no substitute for skill and common sense. Care must be taken to avoid property damage. Only trained and experienced field personnel should be allowed to conduct flow tests.

Figure 3. Flow testing software.
We can check the computed flow using Equation 7.
The software also extrapolates a flow of 3,045 gpm at 20 psi and 3,346 gpm at 0 psi. In some cases, an additional hydrant needs to be flowed to obtain a measurable drop in the residual pressure. In that case, the data for the second flow hydrant is entered into the second row of the spreadsheet.
Dr. Sang H. Wong
sales@hydronicseng.com
Dr. Sang H. Wong is CEO of Hydronics Engineering. He is a graduate of the University of California, Los Angeles, where he studied computer science and water resources engineering. He has also worked as a fire sprinkler designer for several companies in the San Francisco Bay area, including Grinnell Fire Protection in Dublin, CA. Hydronics Engineering offers eight fire sprinkler hydraulics applications for computers running on DOS, Windows and Apple Macintosh. They can be reached by phone at (800) 845-9819, and by fax at (206) 600-5861. Hydronics Engineering may also be contacted via e-mail at sales@hydronicseng.com, and online at www.hydronicseng.com.
1.
ISO (2006). ISO Fire Suppression Rating Schedule Handbook, 2nd Edition, Insurance Services Office, 2006.
2.
Adams, T.A. (2004). “Fire Hydrant Hydraulics,” Air Force Civil Engineer, pp. 22-23, Vol. 12, No. 1, 2004.
3.
AWWA (1989), “AWWA M17—Installation, Field Testing, & Maintenance of Fire Hydrants,” American Water Works Association.
4.
NFPA (2002), “NFPA 291—Recommended Practice for Fire Flow Testing and Marking of Hydrants,” National Fire Protection Association.
5.
Telog (2006), “HPR-31 Hydrant Pressure Recorder/Fire Flow Testing,” Telog Instruments Inc., 830 Canning Parkway, Victor, NY 14564.
6.
Wong, Sang H. (2005), “Hydrant Flow Test for Windows,” Fire Protection Contractor, March 2005, page 59.
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