Consider a stirred-tank blending and heating system with variable hold-up volume in Figure 1. Where Ti, Wi, and Xi are the temperature, mass flow rates and mass fraction of A, respectively, in stream i. Q is the heating rate provided by an electrical heater. V is the volume of the liquid in the tank. Streams 1 is coming from upstream unit (i.e., flowrates, temperature and concentration are known functions of time), stream 2 is not necessarily pure, its temperature can vary with time and its flowrate can be manipulated using a control valve. Assume perfect mixing, liquid density and heat capacity constants, and heat losses and shaft work to be negligible. Derive a dynamic model of the process and perform a degrees of freedom (DOF) analysis. Mixture of A and B Mixture of A and B T, W, X, T2 W2 X2 Heater

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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1. Consider a stirred-tank blending and heating system with variable hold-up volume in Figure
1. Where Ti, Wi, and Xi are the temperature, mass flow rates and mass fraction of A,
respectively, in stream i. Q is the heating rate provided by an electrical heater. V is the
volume of the liquid in the tank. Streams 1 is coming from upstream unit (i.e., flowrates,
temperature and concentration are known functions of time), stream 2 is not necessarily
pure, its temperature can vary with time and its flowrate can be manipulated using a control
valve. Assume perfect mixing, liquid density and heat capacity constants, and heat losses
and shaft work to be negligible. Derive a dynamic model of the process and perform a
degrees of freedom (DOF) analysis.
Mixture of A and B
Mixture of A and B
T,
w,
х,
W2
X2
V
W
Heater
Transcribed Image Text:1. Consider a stirred-tank blending and heating system with variable hold-up volume in Figure 1. Where Ti, Wi, and Xi are the temperature, mass flow rates and mass fraction of A, respectively, in stream i. Q is the heating rate provided by an electrical heater. V is the volume of the liquid in the tank. Streams 1 is coming from upstream unit (i.e., flowrates, temperature and concentration are known functions of time), stream 2 is not necessarily pure, its temperature can vary with time and its flowrate can be manipulated using a control valve. Assume perfect mixing, liquid density and heat capacity constants, and heat losses and shaft work to be negligible. Derive a dynamic model of the process and perform a degrees of freedom (DOF) analysis. Mixture of A and B Mixture of A and B T, w, х, W2 X2 V W Heater
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