A 25-mm hole occurs in a large pipeline resulting in a leak of pure methane gas and a flame. The methane is at a pressure of 100 bar gauge. The leak occurs 2-m off the ground. Determine: i) The height of the flame using below equation

ii) The discharge rate (kg/s), and iii) The radiant heat flux at a point on the ground 15 m from the resulting flame.

Additional Data:

The ambient temperature: 298 K

The humidity: 50% RH.

The discharge coefficient: 1.0

Heat capacity ratio, , for methane: 1.32

Heat of combustion for methane: 50,000 kJ/kg

Flame temperature for methane: 2200 K

Molecular weight for air: 29

Molecular weight for methane: 16

dorL=Cstvol5.3[stTcontTad{Cst+(1Cst)MvMa}]0.5