The purpose of physics is the understanding of the world around us, not the solving of differential equations. Such equations are often a means to an end, but not the end in themselves. And if that end can be reached by simpler means; especially more physically transparent and intuitive means - all to the good.
This volume is about dimensional analysis, a powerful method to analyse complex physical phenomena, including those for which we cannot pose, much less solve governing equations. Its use in science and engineering is ubiquitous and has been central to the work of greats such as Lord Rayleigh, Bohr and Einstein. It offers a method for reducing complex physical problems to their simplest forms and provides a powerful tool for checking whether or not equations are dimensionally consistent and suggests plausible equations when we know which quantities are involved. It can be particularly useful in exploratory investigations of novel phenomena, for which the equations and boundary conditions have not yet been fully formulated.
Every scientist and engineer should have this tool at their command, and this book provides an accessible, modern, self-contained and systematic overview. It outlines the principles of similitude and presents the tools of dimensional analysis for both scientists and engineers. It explains the power of the method and how it can be applied practically to aid not only a greater understanding of theoretical concepts but in designing experiments and analysing experimental data. It draws on and presents examples relevant to a wide range of students in the experimental sciences, not just limited to the physical and engineering sciences, but encompassing the biological and life sciences. The technique has, for example, been used to estimate the running speed of a hungry Tyrannosaurus rex, a comparison of the flights of mosquitos and jet airliners, and the energy released by an atomic weapon.
This volume is about dimensional analysis, a powerful method to analyse complex physical phenomena, including those for which we cannot pose, much less solve governing equations. Its use in science and engineering is ubiquitous and has been central to the work of greats such as Lord Rayleigh, Bohr and Einstein. It offers a method for reducing complex physical problems to their simplest forms and provides a powerful tool for checking whether or not equations are dimensionally consistent and suggests plausible equations when we know which quantities are involved. It can be particularly useful in exploratory investigations of novel phenomena, for which the equations and boundary conditions have not yet been fully formulated.
Every scientist and engineer should have this tool at their command, and this book provides an accessible, modern, self-contained and systematic overview. It outlines the principles of similitude and presents the tools of dimensional analysis for both scientists and engineers. It explains the power of the method and how it can be applied practically to aid not only a greater understanding of theoretical concepts but in designing experiments and analysing experimental data. It draws on and presents examples relevant to a wide range of students in the experimental sciences, not just limited to the physical and engineering sciences, but encompassing the biological and life sciences. The technique has, for example, been used to estimate the running speed of a hungry Tyrannosaurus rex, a comparison of the flights of mosquitos and jet airliners, and the energy released by an atomic weapon.
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