FIRE LOGISTICS AND MATH EDUCATION A Rumpke Public Outreach Program
Welcome & Introductions
Identify emergency exits to all participants. Identify location of restroom facilities. Cover any other related site information.
What will we accomplish today!
What we do in the Fire Service!
This is our OFFICE!
This is our Work!
Why Numbers?
Why Numbers? Numbers tell us valuable information: How much water we need. The amount of water we are flowing. The truck pressure required to meet our flow requirements. The time we have flowed water and the total gallons used. How to adjust for elevation, plus or minus.
Nozzle Types Hand line nozzles fall into two basic types: Smooth bore straight stream, no adjustment or settings. Variable stream choice of straight stream or fog pattern. The firefighter can usually choose what type based on fire location and size.
Nozzle Force Nozzle pressures can cause problems: Not enough pressure can prevent an effective fire attack or get the firefighters burned. Too much pressure can injure the firefighters from excessive nozzle force. The best balance is the correct pressure at the nozzle.
Why Numbers? Applying the correct values or numbers equals success: Applying the correct numbers into the formulas predicts a successful and manageable nozzle pressure. This allows the firefighters to move the hose line in a building to successfully attack and extinguish the fire.
Elevation Pressure Gain & Loss
Elevation Pressure Gain & Loss
Pressure Loss: Aerial Piped Waterway
Pump Discharge Pressure: Fog Nozzle
Pressure Loss: Four Hoselines (Unequal Lengths)
Common Hose Sizes
Common Nozzle Diameters
Friction Loss Coefficient Single Hoselines
Variables for Calculating Total Pressure Loss Volume of water flowing per minute; Length & diameter of the hoseline; Any major appliances attached to hoseline; Pressure loss or gain created by elevation;
Total Pressure Loss
Appliance Pressure Loss 0 psi friction loss for flows less than 350 gpm; 10 psi friction loss for flows greater than 350 gpm; 25 psi friction loss in all master stream appliances.
Types of Appliances
Calculating Friction Loss Student Activity 1
What does friction loss mean to you? Is it important and why?
Where: FL = CQ 2 L FL = Friction loss in psi C = Friction loss coefficient Q = Flow rate in hundreds of gpm (Flow 100) L = Hose length in hundreds of feet (Length 100)
1. If 150 gpm is flowing from a nozzle, what is the friction loss for 200 feet of 2-inch hose? Please write your answer on the student worksheet as we work through the problem.
Problem 1 FL = CQ 2 L (Q=150 100) 100) (L=200 100) FL = 8 1.5 2 2 FL = 8 2.25 2 FL = 18 2 FL = 36 psi
2. If 400 gpm is flowing from a nozzle, what is the friction loss for 300 feet of 4-inch 4 hose? Please write your answer on the student worksheet as we work through the problem.
Problem 2 FL = CQ 2 L (Q=400 100) (L=300 100) FL = 0.2 4 2 3 FL = 0.2 16 3 FL = 3.2 3 FL = 9.6 or 10 psi
3. If 200 gpm is flowing from a nozzle, what is the friction loss for 150 feet of 2-inch hose? Please write your answer on the student worksheet as we work through the problem.
Problem 3 FL = CQ 2 L (Q=200 100) (L=150 100) 100) FL = 8 2 2 1.5 FL = 8 4 1.5 FL = 32 1.5 FL = 48 psi
Calculating Elevation Pressure Student Activity 2
EP = 0.5 H Where: EP = Elevation Pressure in psi 0.5 = A constant H = Height in feet
EP = 5 (No. Stories 1) Where: Pressure in psi EP = Elevation 5 = A constant
4. A hoseline operating on the 12 th floor of a structure fire is connected to the building s standpipe system. What is the elevation pressure at the base of the standpipe system? Please write your answer on the student worksheet as we work through the problem.
Problem 4 EP = 5 (No. Stories 1) EP = 5 11 EP = 55
5. What would be the elevation pressure loss at the pump for a pumper at the bottom of a 250-foot hill supplying a hoseline at the top of the hill? Please write your answer on the student worksheet as we work through the problem.
Problem 5 EP = 0.5 H EP = 0.5H EP = 0.5 250 EP = 125
6. What would be the elevation pressure gain at the pump for a pumper atop of a 150-foot hill supplying a hoseline at the base of the hill? Please write your answer on the student worksheet as we work through the problem.
Problem 6 EP = 0.5 H EP = 0.5H EP = 0.5 150 EP = 75
Calculating Total Pressure Loss in Single Hoseline Layouts Student Activity 3
TPL = FL ± EP Where: FL = Friction loss FL = CQ 2 L ± = Add (+) or Subtract ( )( EP = Elevation pressure in psi EP = 5 (No. Stories 1) EP = 0.5H
7. A pumper is supplying 150- feet of 1¾-inch 1 hose with 150 gpm flowing. What is the total pressure loss in the hose assembly? Please write your answer on the student worksheet as we work through the problem.
Problem 7 TPL = FL ± EP TPL = 52.3 ± 0 FL = 52.3 = 15.5 1.5 2 1.5 TPL = 52.3 or 52
8. Using the information from Problem 7, what is the total pressure loss if the fire situation is located on the 4th floor of a building? Please write your answer on the student worksheet as we work through the problem.
Problem 8 TPL = FL ± EP TPL = 52.3 ± 15 FL = 52.3 = 15.5 1.5 2 1.5 EP = 15 = 5 x 3 TPL = 67.3 or 67
FIRE LOGISTICS AND MATH EDUCATION A Rumpke Public Outreach Program Congratulations! We re ready to apply the math to move some water!
FIRE LOGISTICS AND MATH EDUCATION A Rumpke Public Outreach Program Closing Comments I hope this course was: Interesting Challenging Fun; and Applied math in a different and helpful perspective!