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Informationen zum Autor G. I. Barenblatt is Emeritus G. I. Taylor Professor of Fluid Mechanics at the University of Cambridge, Emeritus Professor at the University of California, Berkeley, and Principal Scientist in the Institute of Oceanology of the Russian Academy of Sciences, Moscow. Klappentext The author describes and teaches the art of discovering scaling laws! starting from dimensional analysis and physical similarity! which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand! and when they cannot. Based on courses taught to undergraduate and graduate students! the book can also be used for self-study by biologists! chemists! astronomers! engineers and geoscientists. Zusammenfassung This 2003 book describes and teaches the art of discovering scaling laws! starting from dimensional analysis and physical similarity. It demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be applied! and when they cannot. Inhaltsverzeichnis Foreword; Introduction; 1. Dimensional analysis and physical similarity; 2. Self-similarity and intermediate asymptotics; 3. Scaling laws and self-similar solutions which cannot be obtained by dimensional analysis; 4. Complete and incomplete similarity; 5. Scaling and transformation groups and the renormalisation group; 6. Self-similar solutions and traveling waves; 7. Scaling laws and fractals; 8. Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers; References; Index.
