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[jbm]

I am attempting to calculate the time required to heat a reaction mass to temperature using a half-pipe coil jacketed reactor.

I am aware of the equations used to carry out the typical calculation (e.g. I have the equations from Kern Process Heat Transfer for coil-in-tank or jacketed vessels with a non-isothermal heating medium).

The problem that I am having is that the reactor wall maximum delta T is 120C. To work around this limitation, I have been instructed to assume a tempered heating media (e.g. the heating medium will be controlled at 120C above the reaction mass during the duration of the heating), this seems problematic to me because the equation then involves non-isothermal heating with an incrementally increasing feed temperature (i.e. reaction mass starting at 20C and ending at 155C with heating media starting 140C and increasing incrementally to keep the delta T across the reactor wall constant at 120C).

Is this calculation possible? Are the equations readily available? I understand that this may not be a great way to approach heating a reaction mass, but this is an exercise that I am required to go through.