Heat Loss & Heat Production Equations

The thermodynamics within the system defined in the last section leads to a heat production term (equation 1) and a heat loss term (equation 2). Both equations are obtained from the application of Newton's law of cooling to the surface losses.

Equation 1 - Heat production term
Where = Heat gain (W) = Density (kg/m3) Q = Exothermicity (J/kg) C = Heat capacity (J/kg K) A = pre-exponential factor (s-1) EA = Activation energy (J/mol) R = Molar gas constant ( 8.314 J/K mol) T = Temperature inside of reacting system (K)

Equation 2 - Heat Loss Term
Where = Heat lost (W) h = Convection coefficient (W/m2 K) S = Surface are of reacting system (m2) V = Volume of reacting system (m3) T = Temperature inside of reacting system (K) Ta = Temperature outside of reacting system (K)