what is the heat release rate for a 30-m diameter gasoline pool fire?
thanks for the help. its a question in a book
To calculate the heat release rate for a gasoline pool fire, you can use empirical correlations or equations based on experimental data. One commonly used correlation is the McCaffrey equation. Let's go through the steps to obtain the heat release rate using this equation:
Step 1: Determine the burning area of the pool fire.
Given a diameter of 30 meters, we can calculate the area using the formula for the area of a circle:
Area = π * (radius)^2
radius = diameter / 2 = 30 / 2 = 15 meters
Area = 3.14 * (15)^2 = 706.5 square meters
Step 2: Use the McCaffrey equation to calculate the heat release rate.
The McCaffrey equation is given by:
HRR = 3.32 * (A)^0.82
where HRR is the heat release rate in megawatts (MW) and A is the area in square meters.
Substituting the values:
HRR = 3.32 * (706.5)^0.82
HRR ≈ 3.32 * (1687.096) ≈ 5596.438 MW
Therefore, the heat release rate for a 30m diameter gasoline pool fire is approximately 5596.438 megawatts.