Abstract
The equilibrium of a fluid is certainly the most simple fluid “flow”. However, not moving is not that easy for a fluid and we shall learn here, among other things, which conditions need to be satisfied for a fluid to remain in equilibrium.
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Notes
- 1.
We should observe that \(\boldsymbol{\nabla }\int \mathit{dP}/\rho = \left ( \frac{d} {\mathit{dP}}\int \frac{\mathit{dP}} {\rho (P)}\right )\boldsymbol{\nabla }P = \frac{1} {\rho } \boldsymbol{\nabla }P\).
- 2.
Blaise Pascal (1623–1662) was a French scientist and writer. As far as Physics is concerned, he is famous for his work on fluid’s equilibria, de l’Equilibre des liqueurs and de la Pesanteur de l’air (the weight of air).
- 3.
Thomas Young (1773–1829) is well-known for his work in interferometry but he also studied the surface tension of liquids and the wetting of solids in 1805.
- 4.
J. Jurin (1684–1750) was an English physician and physicist.
References
Binney, J., & Tremaine, S. (1987). Galactic dynamics. Princeton: Princeton University Press.
de ennes, P.-G., Brochart-Wyart, F., & Quéré, D. (2004). Capillarity and wetting phenomena: Drops, bubbles, pearls, waves. Berlin: Springer.
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Rieutord, M. (2015). The Static of Fluids. In: Fluid Dynamics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-09351-2_2
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DOI: https://doi.org/10.1007/978-3-319-09351-2_2
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