The control system of the steam-jacketed kettle is shown in the figure. The system consists of a kettle through which water flows at a variable rate w (K9/s). The entering water is at temperature T, ("C), which may vary with time. The kettle water, which is well agitated, is heated by steam condensing in the jacket at temperature T, and pressure P, . The temperature of the water in the kettle is measured and transmitted to the controller. The output signal from the controller is used to change the stem position of the valve, which adjusts the flow of steam to the jacket w.
The control system of the steam-jacketed kettle is shown in the figure. The system consists of a kettle through which water flows at a variable rate w (K9/s). The entering water is at temperature T, ("C), which may vary with time. The kettle water, which is well agitated, is heated by steam condensing in the jacket at temperature T, and pressure P, . The temperature of the water in the kettle is measured and transmitted to the controller. The output signal from the controller is used to change the stem position of the valve, which adjusts the flow of steam to the jacket w.
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Transcribed Image Text:The control system of the steam-jacketed kettle is shown in the figure. The system consists of a kettle through
which water flows at a variable rate w (k9/s). The entering water is at temperature T; ("C), which may vary
with time. The kettle water, which is well agitated, is heated by steam condensing in the jacket at temperature T,
and pressure P, . The temperature of the water in the kettle is measured and transmitted to the controller. The
output signal from the controller is used to change the stem position of the valve, which adjusts the flow of steam
to the jacket w.
|Computer/Controller
The following assumptions are made for the kettle:
• The hold-up volume of water in the kettle is constant.
The thermal capacity of the kettle wall, which separates
steam from water, is negligible compared with that of the
Temperature-measuring
element
Water
water in the kettle.
The heat capacities of water cpw (K/kg°C) and the
metal wall Cp,methal (K/kg°c) are constant.
The density of water is constant Pw (k9/m3)
• The temperature of the steam in the jacket T, = T, (°C) is
Control valve
Steam
Jacket
wall
We
T. Condensate
constant.
Figure 1.
a) Develop a set of differential equations required to simulate the temperature change of the water To as a
function of w, T; and Ty.
b) Develop the transfer function between water T, and w, T; and Ty
c) Represent the transfer function in a block diagram
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