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Engineering and Tech / Process Dynamics and Control 3 / Chapter 13 / Problem 13.7

Process Dynamics and Control | 3rd Edition | ISBN: 9780470128671 | Authors: Dale E. Seborg

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A double pipe heat exchanger with a partial bypass for the

Chapter 13, Problem 13.7

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QUESTION:

A double pipe heat exchanger with a partial bypass for the cold stream is shown in Fig. E13.7. The mass flow rate of the hot stream, wh, and the bypass fraction, f, can be manipulated. Heat losses can be neglected. (a) Determine the model degrees of freedom, NF, and control degrees of freedom, N FC based on a steady-state analysis. (b) Determine the number of disturbance variables, Nv, and specify reasonable choices for the disturbance variables. (c) Would NF or NFc change if a cocurrent heat exchanger configuration is analyzed instead of the countercurrent configuration? Justify your answer.

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QUESTION:

A double pipe heat exchanger with a partial bypass for the cold stream is shown in Fig. E13.7. The mass flow rate of the hot stream, wh, and the bypass fraction, f, can be manipulated. Heat losses can be neglected. (a) Determine the model degrees of freedom, NF, and control degrees of freedom, N FC based on a steady-state analysis. (b) Determine the number of disturbance variables, Nv, and specify reasonable choices for the disturbance variables. (c) Would NF or NFc change if a cocurrent heat exchanger configuration is analyzed instead of the countercurrent configuration? Justify your answer.

ANSWER:

Problem 13.7

A double pipe heat exchanger with a partial bypass for the cold stream is shown in Fig. E13.7. The mass flow rate of the hot stream, , and the bypass fraction, f, can be manipulated. Heat losses can be neglected.

(a) Determine the model degrees of freedom, , and control degrees of freedom, based on a steady-state analysis.

(b) Determine the number of disturbance variables, , and specify reasonable choices for the disturbance variables.

(c) Would or change if a concurrent heat exchanger configuration is analyzed instead of the countercurrent configuration? Justify your answer.

Step by Step Solution

Step 1 of 4

The mass flow rate of the hot stream is ${w}_{h}$

The bypass function is $f$

The model degree of the freedom is ${N}_{F}$

The control degree of the freedom is ${N}_{FC}$

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