Forest Fires Equation: Exploring Energy Conservation

[Korial]

Hello !

I'm studying the forest fires, and I found an equation but there is something I don't understand. The equation is obtained thanks to energy conservation, and it is something like this : ρC dT/dt = h(T-T0) - Q Ys Aexp(-Ea/RTs)
The first term is the volumic enthalpy, the second is due to convection and the third to reaction.
What I can't understand it is that the first and the third terms are in W/m3, while the second is in W/m²
So why can we write that? Is it a particular h?

Thank you very much !

 

[Valerie Park]

The equation you have provided is a simplified version of the energy conservation equation for a forest fire. The h in the equation is a heat transfer coefficient which is in units of W/m². This coefficient is used to represent the rate of convective heat transfer between the burning material and the surrounding air. The other terms in the equation represent the volumetric enthalpy (in W/m³) and the reaction rate (in W/m³). The equation is a simplification of the energy conservation equation, which takes into account all the sources of energy in the system.