Jean Le Rond D'Alembert: A New Theory of the Resistance of Fluids

Description

In the commentaries to this book we try to understand d’Alembert thoughts and how he contrives to translate his ideas on mechanics to the fluid realm with a new and radical point of view; how he arrives at the first two fundamental differential equations among the velocity components; and how he tries to reduce the resistance of a moving body, which is a change of its momentum, to the hydrostatical pressure, which is related to the gravity. All this knowing that his mechanics has no forces and no pressures as well, and that the fluids are aggregates of individual particles. The essay A New Theory of the Resistance of Fluids was a turning point in Fluid Mechanics because clearly, for the first time, the resistance is shown as the results of a fluid subjected to differential equations in a continuous mode instead of a set of impacts of individual particles. This contribution has been recognized by the scholars. However, only partial attention has been p aid to this work, which can be justified due to the difficulty in its reading and also because it was eclipsed by the publication, a few years later, of Euler’sthree Memoirs that established modern hydrodynamics. Front Matter ....Pages i-ix Front Matter ....Pages 1-17 Principles of Dynamics and Hydrodynamics Necessary for the Understanding of the Subsequent Propositions (Julián Simón Calero)....Pages 19-24 General Principles of the Equilibrium of Fluids (Julián Simón Calero)....Pages 25-28 General Principles of the Pressure Fluids, in Motion or at Rest (Julián Simón Calero)....Pages 29-37 On the Pressure That a Fluid Exerts on a Body at Rest and Immersed in It (Julián Simón Calero)....Pages 39-66 On the Resistance of Fluids to the Bodies Moving Therein (Julián Simón Calero)....Pages 67-89 Oscillations of a Body Floating in a Fluid (Julián Simón Calero)....Pages 91-102 On the Action of a Fluid Stream That Exits from a Vessel and Strikes a Plane (Julián Simón Calero)....Pages 103-111 Application of the Principles Outlined in This Essay in the Research of the Motion of a Fluid in a Vessel (Julián Simón Calero)....Pages 113-116 Application of the Same Principles to Some Research on Streams in Rivers (Julián Simón Calero)....Pages 117-119 Appendix (Julián Simón Calero)....Pages 121-131 Front Matter ....Pages 133-133 General Considerations (Julián Simón Calero)....Pages 135-145 D’Alembert’s Dynamic Conceptions (Julián Simón Calero)....Pages 147-151 Forces and Fluids in the Essay (Julián Simón Calero)....Pages 153-159 Brief Analysis of the Contents of the Essay (Julián Simón Calero)....Pages 161-166 Front Matter ....Pages 167-167 The Essay’s Introduction (Julián Simón Calero)....Pages 169-171 The Preliminaries (Julián Simón Calero)....Pages 173-186 Resistance of a Body Moving in a Fluid (Julián Simón Calero)....Pages 187-220 Other Resistances and Fluids (Julián Simón Calero)....Pages 221-229 Experiments and Theories (Julián Simón Calero)....Pages 231-241 Other Motions (Julián Simón Calero)....Pages 243-256 The Oscillation of Floating Bodies (Julián Simón Calero)....Pages 257-264 Reflections on Fluid Equilibrium (Julián Simón Calero)....Pages 265-271 Back Matter ....Pages 273-292