by Tsang Yue Kin. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 120-122). / by Tsang Yue Kin. / Contents --- p.ii / List of Figures --- p.iv / List of Tables --- p.vi / Abstract --- p.vii / Acknowledgement --- p.viii / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Probability Density Function in Turbulence --- p.2 / Chapter 1.2 --- Scaling Laws in Turbulence --- p.6 / Chapter Chapter 2. --- The Problem --- p.12 / Chapter 2.1 --- Random Advection of a Passive Scalar --- p.12 / Chapter 2.2 --- Numerical Implementation --- p.14 / Chapter Chapter 3. --- Statistics of Scalar Fluctuation --- p.19 / Chapter 3.1 --- Results --- p.19 / Chapter 3.1.1 --- Probability Density Function of Scalar Fluctuation --- p.20 / Chapter 3.1.2 --- Exact Formula for PDF --- p.20 / Chapter 3.1.3 --- Other Velocity Statistics --- p.24 / Chapter 3.2 --- Conditional Averages q(x) and r(x) --- p.25 / Chapter 3.2.1 --- q(x) --- p.25 / Chapter 3.2.2 --- r(x) --- p.39 / Chapter 3.2.3 --- PDF calculated from various forms of q(x) and r(x) --- p.46 / Chapter 3.3 --- Other Velocity Statistics --- p.55 / Chapter Chapter 4. --- Statistics of Scalar Difference --- p.75 / Chapter 4.1 --- PDF of Scalar Difference --- p.75 / Chapter 4.1.1 --- Results --- p.76 / Chapter 4.1.2 --- Relation between PT{x) and 5S2n(T) --- p.80 / Chapter 4.2 --- Scaling of S2n(T) --- p.82 / Chapter 4.3 --- Other Velocity Statistics --- p.90 / Chapter 4.4 --- Discussions --- p.103 / Chapter Chapter 5. --- Conclusion --- p.105 / Appendix A. PDF of Stream Functions --- p.107 / Chapter A.1 --- General Formalism --- p.107 / Chapter A.2 --- Applications --- p.108 / Appendix B. Generation of Random Deviates --- p.112 / Appendix C. Check of Stationarity --- p.114 / Appendix D. Calculations of the coefficients of q(x) and r(x) --- p.117 / Bibliography --- p.120
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321467 |
| Date | January 1996 |
| Contributors | Tsang, Yue Kin., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, viii, 122 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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