By Sir Horace Lamb M.A. LL.D. Sc.D. F.R.S., Russ Caflisch
This vintage presentation hasn't ever been outmoded in its encyclopedic assurance of the topic, and its first-class exposition of primary theorems, equations and distinctive tools of answer. In complete, exhaustive element, the booklet covers the various features of the dynamics of drinks and gases, and tackles difficulties in 3 measurement at the movement of solids via a liquid. sixth (1932) version.
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Extra resources for Hydrodynamics
The mathematical development takes him to the irrotationality condition and the introduction of the velocity potential. We can appreciate Euler’s genius in this work in the clarity of concept and exposition, as well as the ease with which he handles the mathematics, of which he was an absolute master. These abilities, which are present in all his work to a greater or lesser degree, allowed Euler to surpass his contemporaries, and to take the ideas of others much further than they themselves could have imagined.
To complement their reasoning, they introduced considerations concerning the mechanical efficiency of mechanical systems. The application of fluid mechanics to ships and to hydraulic machines responded to important social needs. It is not necessary to go into detail regarding the importance of the navy at this time, but by the eighteenth century, maritime power had become one of the defining elements of a nation’s military strength, and its most relevant exponent was the ship of the line. The ship of the line, at its most elemental, is a machine which balances the effects of the wind in the sails with that of the water on the hull.
His intentions are sound, but he lacks the data (the projectile velocity at the muzzle) needed to understand the phenomenon. In the following decade, the British artillery engineer Benjamin Robins will come back to this problem. There is another work of Daniel in the same 1727 volume of the Commentarii petropolitanæ, which is dedicated to the motion of water through ducts. The paper, entitled ‘Theoria nova de motu aquarum per canales quoscunque fluentium’ (‘New theory about the water motion flowing through whatever channels’) confirms the separation of the phenomena of resistance and discharge.
Hydrodynamics by Sir Horace Lamb M.A. LL.D. Sc.D. F.R.S., Russ Caflisch