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### Summary

### Summary

Chemical engineering has often been referred to as a study in methodology. Approaches in chemical engineering are determined by individual phenomena/processes, and each of these are studied individually. The phenomena that are treated in chemical engineering can be classified into two groups:

(1) phenomena that are definite and can be expressed by formulas such as differential equations

(2) phenomena that can be expressed only by probability terms.

The focus of Chemical Engineering - A new Perspective is on "information entropy". The main themes covered are mixing, separation, turbulent structure, particle size distribution and degree of uncertainty. The book recognizes that the information entropy may not be the only viewpoint, and how the degree of information entropy is useful for the other phenomena.

### Table of Contents

List of Figures | p. vii |

List of Tables | p. xi |

Preface | p. xiii |

Chapter 1 Information Entropy | p. 1 |

1.1 Introduction | p. 1 |

1.2 History and expectation | p. 1 |

1.3 Information | p. 5 |

1.4 Amount of information | p. 6 |

1.5 Average amount of information before reporting the result | p. 7 |

1.6 Information entropy based on continuous variable | p. 11 |

1.7 Probability density distribution function for the maximum information entropy | p. 12 |

1.8 Sensitiveness of human experience for quantity and information entropy | p. 18 |

1.9 Summary | p. 20 |

Chapter 2 Mixing Phenomena | p. 21 |

2.1 Introduction | p. 21 |

2.2 Index for evaluation of mixing performance | p. 23 |

2.3 Evaluation of mixing performance based on transition response method | p. 26 |

2.4 Evaluation of mixing performance based on transition probability of inner substance | p. 55 |

2.5 Evaluation of mixing performance of multi-component mixing | p. 67 |

2.6 Summary | p. 79 |

Chapter 3 Separation Phenomena | p. 81 |

3.1 Introduction | p. 81 |

3.2 Definition of separation efficiency | p. 84 |

3.3 Summary | p. 93 |

Chapter 4 Turbulent Phenomena | p. 95 |

4.1 Introduction | p. 95 |

4.2 Probability density distribution function for velocity fluctuation | p. 99 |

4.3 Energy spectrum probability density distribution function | p. 100 |

4.4 Scale of turbulence and turbulent diffusion | p. 105 |

4.5 Scale-up | p. 108 |

4.6 Energy spectrum density distribution function of non-Newtonian liquid | p. 118 |

4.7 Summary | p. 123 |

Chapter 5 Particle Size Distribution | p. 125 |

5.1 Introduction | p. 125 |

5.2 Particle size probability density distribution function (PSD function) | p. 126 |

5.3 Eddy size distribution in a turbulent flow | p. 131 |

5.4 Summary | p. 142 |

Chapter 6 Anxiety/Expectation | p. 143 |

6.1 Introduction | p. 143 |

6.2 Safety and anxiety | p. 145 |

6.3 Evaluation index of anxiety/expectation | p. 146 |

6.4 Utilization method and usefulness of newly defined degree of anxiety | p. 151 |

6.5 Decision-making regarding daily insignificant matters | p. 163 |

6.6 Summary | p. 165 |

References | p. 167 |

Epilogue | p. 171 |

Index | p. 173 |