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Book Cover
E-book
Author Rubin, Alan E. (Alan Edward), 1953- author.

Title Surface/volume : how geometry explains why grain elevators explode, hummingbirds hover, and asteroids are colder than ice / Alan E. Rubin
Published Cham, Switzerland : Springer, 2023

Copies

Description 1 online resource (xvii, 182 pages) : illustrations (some color)
Contents Introduction -- A Truncated History of Geometry -- Middle School Math -- Asteroids, Moons, Planets, and Meteorites -- Geologic Processes -- Geometry of Life -- Biochemistry -- Chemical Reactions -- Ecology -- Manufacturing
Summary 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
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed March 6, 2023)
Subject Surfaces -- Areas and volumes.
Surfaces -- Areas and volumes
Form Electronic book
ISBN 9783031237492
3031237498