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Calculate Heat/Cool time - Batch reactor
http://www.eng-calculations.com/heat time - batch reactor.aspx
______________________________________ __________________________________________________________ __________________________________________ _____________________________________ _______________ Home The time to heat or cool a fixed mass of liquid inside a batch r eactor is calculated. The primary simplification here is that both the utility and process heat capacity as well as the overall heat transfer coefficient are assumed constant throughout. Liquid Jacket Utility: The jacket is a 'one pass' with a fixed flowrate of liquid at inlet temperature T1. A closed form solution has been developed and is shown at the bottom of the page. Steam Jacket Utility: With steam at specified inlet pressure (assumed (assumed to be saturated) the time to heat is based on isothermal condensation in the jacket with as much steam passing through the trap as heat transfer will allow. Simple closed form solution below. ______________________________________ __________________________________________________________ __________________________________________ _____________________________________ _______________ INPUT DATA
Input Units (or pick and choose)
Recalculate if change individual unit selections
Metric British Reactor Contents Process Data
Liquid or Steam as jacket utility Initial temperature, T0
EQUATIONS (Liquid in Jacket) Heat input to reactor at T = Heat loss by utility liquid with inlet temperature T1 (specified) and outlet temperature T2 (unknown)
Solving for the unknown jacket outlet temperature T2
The rate of temperature change of the liquid inside the vessel is given by
Solving the above two equations to get process temperature as a function of time:
Finally, solving for time t where T = Tf (with T = T0 at t = 0)