CHM ENG 162 Study Guide - Midterm Guide: Energy Economics, Pid Controller, Damping Ratio

• School: Berkeley
• Department: Chemical & Biomolecular Engineering
• Course: CHM ENG 162
• Professor: all

Document Summary

A jacketed, well-mixed vessel for heating a liquid medium using condensing steam is shown in figure 1. The vessel is cylindrical with ra- dius r. the inlet temperature and volumetric ow of the liquid are tf and qf , respectively. The process inputs include volumetric ow rates qf and q as well as the steam temperature ts. the liquid temperature t in the tank and the tank level h are the measured process outputs. Figure 1: a jacketed, well-mixed heating vessel: (20 pts) derive a linear dynamic model for the process at hand. = cpqf (tf tref ) cpq(t tref ) + u ah(ts t ) (3) = qf (tf tref ) q(t tref ) + Cp (ts t ) (4) hac dt dt. = qf (tf tref ) q(t tref ) t (qf q) + Cp (ts t ) (5) dt dt qf hac (tf t tref ) + q hac (tref ) +