Forced Convection, Semenov Model

In an agitated vessel, with heat transfer through the wall, the heat removal is given 

from Equation 2.34, ATcrit = —a simplification can be introduced  

Therefore a stable situation corresponds to the following condition  

This expression compares the characteristic time of runaway (TMRad) with the characteristic cooling time. Thus, knowing the mass, specific heat capacity, heat transfer coefficient, and heat exchange area allows the assessment. It is worth noting that, since the thermal time constant contains the ratio V/A, heat losses are proportional to the characteristic dimension of the container. 

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