Essays on On the Equilibrium of Fluids

On the Equilibrium of Fluids
Original title On the Equilibrium of Fluids
Author Archimedes
Genre

Science

Language English
Characters No characters
Published 1759
ISBN 978-0-486-65969-0
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On the Equilibrium of Fluids is a book on hydrostatics written by Swiss mathematician Leonhard Euler and published in 1757. The work is primarily concerned with the equilibrium of fluids, both in a gravitational field and under the action of surface tension.Euler begins with a treatise on the nature of fluids and their properties. He then goes on to consider the equilibrium of fluids under the influence of gravity, both in a uniform field and in a non-uniform field. This leads to a discussion of the hydrostatic paradox and the concept of virtual displacements.The second half of the book is devoted to the equilibrium of fluids under the action of surface tension. Euler considers both the case of a fluid in contact with a solid boundary and the case of a fluid in contact with another fluid. He derives the Young-Laplace equation and applies it to a number of different situations.Euler’s work is notable for its clear and elegant presentation, as well as its physical insight. It has served as a major source of inspiration for subsequent work in hydrostatics and fluid mechanics.

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