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The Genesis of Fluid Mechanics, 1640–1780Theoretical Constructions (II): Euler

The Genesis of Fluid Mechanics, 1640–1780: Theoretical Constructions (II): Euler [The general principles upon which Euler bases himself are the Newtonian laws expressed in differential form, the complete acceptance of the concept of force, the use of pressure as force per surface unit, and the use of clearly defined systems of Cartesian coordinates. All are expressed with an absolute conceptual clarity, and with admirable accuracy in the formulation of the equations, so much so that, although some of the concepts that Euler deploys had already been underlined or used by previous treatise writers, the redefining, concision and accuracy to which he submits them greatly surpasses all his predecessors. Just as in solid mechanics, many of his formulations come down to us almost without any alteration; and what is more, some of his discoveries have been attributed to other authors.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

The Genesis of Fluid Mechanics, 1640–1780Theoretical Constructions (II): Euler

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Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media B.V. 2008
ISBN
978-1-4020-6413-5
Pages
401 –451
DOI
10.1007/978-1-4020-6414-2_9
Publisher site
See Chapter on Publisher Site

Abstract

[The general principles upon which Euler bases himself are the Newtonian laws expressed in differential form, the complete acceptance of the concept of force, the use of pressure as force per surface unit, and the use of clearly defined systems of Cartesian coordinates. All are expressed with an absolute conceptual clarity, and with admirable accuracy in the formulation of the equations, so much so that, although some of the concepts that Euler deploys had already been underlined or used by previous treatise writers, the redefining, concision and accuracy to which he submits them greatly surpasses all his predecessors. Just as in solid mechanics, many of his formulations come down to us almost without any alteration; and what is more, some of his discoveries have been attributed to other authors.]

Published: Jan 1, 2008

Keywords: Fluid Mechanic; Fluid Mechanics; Compressible Fluid; Mass Force; Fluid Mass

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