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Eötvös number

In fluid dynamics the Eötvös number (Eo), also called the Bond number (Bo), is a dimensionless number measuring the importance of gravitational forces compared to surface tension forces for the movement of liquid front. Alongside the capillary number, commonly denoted , which represents the contribution of viscous drag, is useful for studying the movement of fluid in porous or granular media, such as soil. The Bond number is also used to characterize the shape of bubbles or drops moving in a surrounding fluid. The two names used for this dimensionless term commemorate the Hungarian physicist Loránd Eötvös and the English physicist Wilfrid Noel Bond, respectively. The term Eötvös number is more frequently used in Europe, while Bond number is commonly used in other parts of the world.

Definition
Describing the ratio of gravitational to capillary forces, the Eötvös or Bond number is given by the equation: arises in wire coating problems and hence uses a radius as a typical length scale while the Derjaguin or Deryagin number, named after Boris Derjaguin, arises in plate film thickness problems and hence uses a Cartesian length. In order to consider all three of the forces that act on a moving fluid front in the presence of a gas (or other fluid) phase, namely viscous, capillary and gravitational forces, the generalized Bond number, which is denoted commonly as Bo*, can be used. This is defined as: :\mathrm{Bo^*} = \mathrm{Bo}-\mathrm{Ca}. == Walking on water ==
Walking on water
The Bond number can be thought as the ratio of the weight of an object and the surface tension, as Conversely, an insect can float over water if Je >1. This principle allows for animal locomotion on the surface of water. ==References==
Source: Wikipedia ↗
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