Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
4th Edition
ISBN: 9781119285915
Author: Seborg
Publisher: WILEY
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Chapter 5, Problem 5.25E
Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

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Figure below shows a portion of a fire protection system in which apump draws water at 60 F from a reservoir and delivers it to point B at the flow rate of 1500 gal/min   a). Calculate the required height of the water level in the tank in order to maintain 5.0 psig pressure at point A. Answer: h = 12,6 ft   b). Assuming that the pressure at A is 5.0 psig, calculate the power delivered by the pump to the water in order to maintain the pressure at point B at 85 kPa. Include energy lost due to friction but neglect any other energy losses. P₁ =19,2 hp
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