Heat and Concentration Waves

Preface Acknowledgments Nomenclature 1. Introduction and Waves and Pulses 1.1 Waves and Pulses: General 1.2 One-Dimensional Traveling Waves 1.3 The Wave Equation 1.4 Incident and Reflected Waves 1.5 Lossy and Lossless Systems 1.6 Nonsinusoidal Waves 1.7 Standing Waves References2. Sources in One-Dimensional Flow 2.1 Introduction 2.2 Sources 2.3 Some Examples of Sources in a Moving Medium References 3. The Ideal Impulse in One-Dimensional Flow 3.1 The Variation of Concentration with Distance from a Moving Origin 3.2 The Variation of Concentration with Time 3.3 The Use of Concentration Distributions to Measure Mean Velocities 3.4 The Use of Concentration Distributions to Measure the Peclet Number 3.5 Examples of the Use of an Instantaneous Source to Determine Pe (Based on Examples by Levenspiel and Smith) 3.6 The Use of a Step Change References 4. The General Pulse; Properties and Uses of Its Transforms 4.1 Introduction 4.2 The Use of the Moments of the Pulse 4.3 Calculations in the Laplace Domain 4.4 The Use of the Fourier Transform References 5. Behavior at a Longitudinal Discontinuity: Pulses 5.1 Boundary Conditions 5.2 The Moments of a Pulse: Boundaries Not at Infinity 5.3 The General Case: Generalized Impulse or Initial Disturbance, n Boundaries 5.4 The General Case: Steady-State, First-Order Reaction, n Boundaries References 6. Sinusoidal Waves 6.1 Introduction 6.2 The Telegrapher's Equations 6.3 Impedance 6.4 Fluxes 6.5 Reflections and Reflection Coefficients 6.6 Compensation for End Effects 6.7 Special but Frequently Occurring Case 6.8 Worked Examples 6.9 The Infinite Bed 6.10 The "Danckwerts Boundary Condition" References 7. Reservoir Phases 7.1 Introduction 7.2 The Steady Cyclic State 7.3 Moments of a Pulse Wave 7.4 The Shunt Admittance of Some Important Cases 7.5 Reservoirs in Series 7.6 Numerical Examples (Sine Waves) References 8. Experimental Measurements 8.1 Introduction 8.2 General Considerations on the Generation and Measurement of Precise Sine Waves 8.3 Practical Aspects of the Generation of Sine Waves 8.4 The Flow of the Fluid 8.5 Measurements of Waves References 9. Practical Considerations and Examples 9.1 Considerations Governing the Choice of Experimental Method 9.2 Advantages of Sine Waves 9.3 Summary of Parameters Found and Methods Used 9.4 Some General Treatments 9.5 Waves in the Reservoir Phase Additional References References Appendix 1. Change of Variable in Moving Systems: Time Appendix 2. Change of Variable in Moving Systems: Distance Appendix 3. The Evaluation of Some Integrals Appendix 4. Some Properties of the Equation y = y0 exp(—k2z2) and of Its Integral Appendix 5. The Development of a Laplace Transform of a PulseAppendix 6. The Laplace Transform of Equation (2.36) Appendix 7. The Variance of a Distribution Appendix 8. Transport Equations Appendix 9. To Show That (b ± ig)1/2 = [(s + b)/2]1/2 ± i(s - b)/2]l/2 Appendix 10. General Wave Properties. Interference Author Index Subject Index