Chapter 5, Problem 5.5E

Interpretation Introduction

(a)

Interpretation:

A transfer function model for the given thermocouple to relate the change in its indicated output $T$ to the change in the surrounding temperature $T_s$ is to be derived.

Concept introduction:

For chemical processes, dynamic models consisting of ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable $\left(y\right)$ and the original variable $\left(\overline{y}\right)$ is known as the deviation variable $\left(y^{\prime }\right)$ .It is generally used while modeling a process. Mathematically it is defined as:

$y^{\prime }=y-\overline{y}$

In the steady-state process, the accumulation in the process is taken as zero.

Interpretation Introduction

(b)

Interpretation:

The maximum temperature registered by the thermocouple is to be determined for the given condition.

Concept introduction:

For chemical processes, dynamic models consisting of ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

Interpretation Introduction

(c)

Interpretation:

The results in part (b) are to be verified using computer simulation.

Concept introduction:

For chemical processes, dynamic models consisting of ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.