Chapter 5, Problem 5.37P

(a)

Interpretation Introduction

Interpretation:

Develop a simplified form of the general steady-state entropy balance for single-pipe heat exchanger and justify any assumptions made.

Concept Introduction:

For a steady state flow process, the general entropy balance for an open system is defined as:

$\Delta {\left(S\stackrel{•}{m}\right)}_{\text{fs}}-{\displaystyle \sum _j\frac{\stackrel{•}{Q_j}}{T_{\sigma ,j}}}={\stackrel{•}{S}}_G\ge 0$   .....(1)

Where ${\stackrel{•}{S}}_G$ is the rate of entropy generation, $\stackrel{•}{Q_j}$ is the rate of heat transfer to a particular part of the control surface be associated with $T_{\sigma ,j}$ temperature in surroundings. $\Delta {\left(\stackrel{•}{S}m\right)}_{\text{fs}}$ is the net rate of change of entropy in flowing stream.

(b)

Interpretation Introduction

Interpretation:

Develop a simplified form of the general steady-state entropy balance for double-pipe heat exchanger and justify any assumptions made.

Concept Introduction:

For a steady state flow process, the general entropy balance for an open system is defined as:

$\Delta {\left(S\stackrel{•}{m}\right)}_{\text{fs}}-{\displaystyle \sum _j\frac{\stackrel{•}{Q_j}}{T_{\sigma ,j}}}={\stackrel{•}{S}}_G\ge 0$   .....(1)

Where ${\stackrel{•}{S}}_G$ is the rate of entropy generation, $\stackrel{•}{Q_j}$ is the rate of heat transfer to a particular part of the control surface be associated with $T_{\sigma ,j}$ temperature in surroundings. $\Delta {\left(\stackrel{•}{S}m\right)}_{\text{fs}}$ is the net rate of change of entropy in flowing stream.

(c)

Interpretation Introduction

Interpretation:

Develop a simplified form of the general steady-state entropy balance for pump and justify any assumptions made.

Concept Introduction:

For a steady state flow process, the general entropy balance for an open system is defined as:

$\Delta {\left(S\stackrel{•}{m}\right)}_{\text{fs}}-{\displaystyle \sum _j\frac{\stackrel{•}{Q_j}}{T_{\sigma ,j}}}={\stackrel{•}{S}}_G\ge 0$   .....(1)

Where ${\stackrel{•}{S}}_G$ is the rate of entropy generation, $\stackrel{•}{Q_j}$ is the rate of heat transfer to a particular part of the control surface be associated with $T_{\sigma ,j}$ temperature in surroundings. $\Delta {\left(\stackrel{•}{S}m\right)}_{\text{fs}}$ is the net rate of change of entropy in flowing stream.

(d)

Interpretation Introduction

Interpretation:

Develop a simplified form of the general steady-state entropy balance for gas compressor and justify any assumptions made.

Concept Introduction:

For a steady state flow process, the general entropy balance for an open system is defined as:

$\Delta {\left(S\stackrel{•}{m}\right)}_{\text{fs}}-{\displaystyle \sum _j\frac{\stackrel{•}{Q_j}}{T_{\sigma ,j}}}={\stackrel{•}{S}}_G\ge 0$   .....(1)

Where ${\stackrel{•}{S}}_G$ is the rate of entropy generation, $\stackrel{•}{Q_j}$ is the rate of heat transfer to a particular part of the control surface be associated with $T_{\sigma ,j}$ temperature in surroundings. $\Delta {\left(\stackrel{•}{S}m\right)}_{\text{fs}}$ is the net rate of change of entropy in flowing stream.

(e)

Interpretation Introduction

Interpretation:

Develop a simplified form of the general steady-state entropy balance for gas turbine and justify any assumptions made.

Concept Introduction:

For a steady state flow process, the general entropy balance for an open system is defined as:

$\Delta {\left(S\stackrel{•}{m}\right)}_{\text{fs}}-{\displaystyle \sum _j\frac{\stackrel{•}{Q_j}}{T_{\sigma ,j}}}={\stackrel{•}{S}}_G\ge 0$   .....(1)

Where ${\stackrel{•}{S}}_G$ is the rate of entropy generation, $\stackrel{•}{Q_j}$ is the rate of heat transfer to a particular part of the control surface be associated with $T_{\sigma ,j}$ temperature in surroundings. $\Delta {\left(\stackrel{•}{S}m\right)}_{\text{fs}}$ is the net rate of change of entropy in flowing stream.

(f)

Interpretation Introduction

Interpretation:

Develop a simplified form of the general steady-state entropy balance for Throttle valve and justify any assumptions made.

Concept Introduction:

For a steady state flow process, the general entropy balance for an open system is defined as:

$\Delta {\left(S\stackrel{•}{m}\right)}_{\text{fs}}-{\displaystyle \sum _j\frac{\stackrel{•}{Q_j}}{T_{\sigma ,j}}}={\stackrel{•}{S}}_G\ge 0$   .....(1)

Where ${\stackrel{•}{S}}_G$ is the rate of entropy generation, $\stackrel{•}{Q_j}$ is the rate of heat transfer to a particular part of the control surface be associated with $T_{\sigma ,j}$ temperature in surroundings. $\Delta {\left(\stackrel{•}{S}m\right)}_{\text{fs}}$ is the net rate of change of entropy in flowing stream.

(f)

Interpretation Introduction

Interpretation:

Develop a simplified form of the general steady-state entropy balance for nozzles and justify any assumptions made.

Concept Introduction:

For a steady state flow process, the general entropy balance for an open system is defined as:

$\Delta {\left(S\stackrel{•}{m}\right)}_{\text{fs}}-{\displaystyle \sum _j\frac{\stackrel{•}{Q_j}}{T_{\sigma ,j}}}={\stackrel{•}{S}}_G\ge 0$   .....(1)

Where ${\stackrel{•}{S}}_G$is the rate of entropy generation is, $\stackrel{•}{Q_j}$ is the rate of heat transfer to a particular part of the control surface being associated with $T_{\sigma ,j}$ temperature in surroundings. $\Delta {\left(\stackrel{•}{S}m\right)}_{\text{fs}}$ is the net rate of change of entropy in flowing stream.