A circular fuel spill has a diameter of 14 feet and a heat release rate of 10 MW using the generic empirical constant of 0.235 in the Heskestad average flame height correlation. What is the average flame height rounded to the nearest meter. Provide numerical answer with units of seconds, do not include units in input, submit number only.

1 answer

The Heskestad formula for flame height is given by:

H = 3.7 * (Q/A)^0.3

where H is the flame height in meters, Q is the heat release rate in MW, and A is the area of the fire in square meters.

We can first calculate the area of the circular fuel spill using its diameter:

A = pi * (d/2)^2
A = pi * (14/2)^2
A = 153.94 m^2

Substituting the given values into the Heskestad formula:

H = 3.7 * (10/153.94)^0.3
H = 1.14 m

Rounding to the nearest meter, the average flame height is:

H = 1 m

Therefore, the numerical answer to the question is 1.