Elementary Hydrostatics: With Chapters on the Motion of Fluids and on Sound (Classic Reprint) - Hardcover

Name: Elementary Hydrostatics: With Chapters on the Motion of Fluids and on Sound (Classic Reprint)
Author: William H. Besant
ISBN: 9780266234258

William H. Besant

9780266234258: Elementary Hydrostatics: With Chapters on the Motion of Fluids and on Sound (Classic Reprint)

Hardcover

ISBN 10: 0266234259 ISBN 13: 9780266234258

Publisher: Forgotten Books, 2018

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Explore how liquids respond to forces, from static balance to the motion of fluids and the sounds they make.

This edition presents a clear treatment of hydrostatics, showing how pressure, density, and external forces shape the equilibrium of fluids and the surfaces they form. It combines theory with practical examples to illuminate core ideas about buoyancy, capillarity, and the energy changes that occur when fluids are driven by external actions.

Delving into topics such as the surfaces of equal pressure, equipotential surfaces, and the interplay of gravity with other forces, the book guides you through step‑by‑step analyses and illustrative problems. It includes concrete examples like soap bubbles, capillary effects, and the behavior of liquids in confined geometries, making abstract concepts tangible and approachable.

Foundations of pressure, density, and the rate of change of pressure in a fluid under force
Surfaces of equilibrium, equal pressure, and how they relate to the resultant force
Practical problems on bubbles, capillarity, and floating bodies
Methods to determine pressure distributions and energy changes in fluid systems

Ideal for students and professionals seeking a rigorous, accessible introduction to hydrostatics and related fluid problems.

EXAMPLES. 171. A mass of liquid at rest under the action of a force to a fixed point varying as the distance from that point. The surfaces of equilibrium, and therefore of equal pressure, are clearly concentric spheres, and the free surface is a sphere. To find the pressure at any point P, take a thin cylindrical column from P to the surface and observe that its equilibrium is maintained by the pressure at the end P counterbalancing the attractive force. If the cross section is k, OP = r, OA = a, and if the force at the distance r is f(r), the pressure is p = f(r) a^2 / r^2, by Leibniz's theorem. The Pressure on a diametral plane = 2p a^2. 2. Liquid at rest under the action of forces to any number of centres varying as the distances. 3–7. Various force fields producing spherical or spheroidal surfaces of equal pressure. 168 EXAMPLES. 10–16. Various capillary and surface‑tension problems, including bubbles, floating bodies, and energy considerations. 175–179. The chapter on equilibrium of fluids under external forces ends with discussions of equipotential surfaces and their energy properties.

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