Chemical Engineering Dynamics - An Intro to Modeling and by J. Ingham, et al.,

By J. Ingham, et al.,

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1 . 2 . 5 . 1 Case A. Continuous Heating in an Agitated Tank Liquid is fed continuously to a stirred tank, which is heated by internal steam coils (Fig. 18). The tank operates at constant volume conditions. The system is therefore modelled by means of a dynamic heat balance equation, combined with an expression for the rate of heat transfer from the coils to the tank liquid. With no heat of reaction and neglecting any heat input from the agitator, the heat balance equation becomes VPCP Z = Fo p cp (To - Ti) dT1 where Ts is the steam temperature.

1 1 by the shaded area. Mass accumulates within the system at a rate dM/dt, owing to the competing effects of a convective flow input (mass flow rate in) and an output stream (mass flow rate out). 11. Balancing the total mass of an arbitrary system. 2 Formulation of Dynamic Models dV dt -= Fo-Fl The steady-state condition of constant volume in the tank (dV/dt = 0) occurs when the volumetric flow in, Fo, is exactly balanced by the volumetric flow out, F1. Total material balances therefore are mostly important for those modelling situations in which volumes are subject to change, as in simulation examples CONFLO, TANKBLD, TANKDIS and TANKHYD.

1 . 2 . 5 . 1 Case A. Continuous Heating in an Agitated Tank Liquid is fed continuously to a stirred tank, which is heated by internal steam coils (Fig. 18). The tank operates at constant volume conditions. The system is therefore modelled by means of a dynamic heat balance equation, combined with an expression for the rate of heat transfer from the coils to the tank liquid. With no heat of reaction and neglecting any heat input from the agitator, the heat balance equation becomes VPCP Z = Fo p cp (To - Ti) dT1 where Ts is the steam temperature.

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