Excerpt from Treatise on Hydrodynamics, Vol. 1: With Numberous Examples
G. H. Darwin's important memoir on dumb-bell figures of equi librium; the theories of liquid waves and tides; and the theory of the motion of a viscous liquid and of solid bodies therein.
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Paperback. Condition: New. Print on Demand. This book offers a comprehensive examination of the mathematical concepts underlying hydrodynamics. It builds upon the foundational work of earlier scientists, such as d'Alembert and Euler, who first successfully applied dynamical principles to the subject. The author delves into the general equations of motion for perfect fluids, exploring the relationship between pressure and density. Through the introduction of velocity potential, the book investigates the conditions under which vortex motion can arise or dissipate within a perfect fluid. It also examines the concept of molecular rotation, providing a physical interpretation of this phenomenon and its significance in fluid dynamics. The book presents Lagranges and Webers transformative approaches to hydrodynamics, showcasing alternative methods for understanding fluid motion. By analyzing the conservation of angular momentum, the author demonstrates how a solidified element of fluid will behave, depending on whether its motion is irrotational or rotational. Overall, this book provides a rigorous and in-depth exploration of the mathematical foundations of hydrodynamics, offering valuable insights into the behavior of fluids in motion. Its exploration of vortex motion and the influence of pressure on fluid dynamics makes it an essential resource for researchers and students in the field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781331951681_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781331951681
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781331951681
Quantity: 15 available