02959nam 22006015 450 991067825230332120251009082210.09783031237492(electronic bk.)978303123748510.1007/978-3-031-23749-2(MiAaPQ)EBC7206876(Au-PeEL)EBL7206876(CKB)26183514000041(DE-He213)978-3-031-23749-2(PPN)268210152(EXLCZ)992618351400004120230228d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSurface/Volume How Geometry Explains Why Grain Elevators Explode, Hummingbirds Hover, and Asteroids are Colder than Ice /by Alan E. Rubin1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (187 pages)Print version: Rubin, Alan E. Surface/Volume Cham : Springer,c2023 9783031237485 Includes bibliographical references and index.Introduction -- A Truncated History of Geometry -- Middle School Math -- Asteroids, Moons, Planets, and Meteorites -- Geologic Processes -- Geometry of Life -- Biochemistry -- Chemical Reactions -- Ecology -- Manufacturing.This book explains that diffusion, osmosis, dissolution, evaporation, and heat loss all preferentially affect small bodies due to their high surface/volume ratios. Because surface area increases as the square of length, but volume (and mass) increase as the cube, large objects have low surface/volume ratios and small objects have high surface/volume ratios. This simple physical constraint governs much of the physical world. It accounts for why the Earth has active volcanoes, but the Moon does not, why the human brain has numerous folds, why deciduous trees lose their leaves every Fall, and why nanoparticles of gold melt at surprisingly low temperatures. It is a phenomenon well known to every scientist, but this book is the first comprehensive treatment of this effect.Engineering mathematicsEngineeringData processingPlanetary scienceEngineering geologyMathematical and Computational Engineering ApplicationsPlanetary ScienceGeoengineeringEngineering mathematics.EngineeringData processing.Planetary science.Engineering geology.Mathematical and Computational Engineering Applications.Planetary Science.Geoengineering.516.36620.44Rubin Alan E.15674MiAaPQMiAaPQMiAaPQ9910678252303321Surface3071683UNINA