Hydraulic equivalent sphere

It is common practice to define a hydraulic equivalent sphere as the sphere with the same density and terminal settling velocity as the particle in question. For a spheroid in creeping flow, the hydraulic equivalent sphere diameter is 2a- E/A and thus depends on orientation. 

For analysis of sorption data, the particles were represented as spheres with radius equal to the hydraulic radius of the particles. For cubes, this leads to an equivalent spherical radius equal to one-half the length of the cube side or a. The weight average radius may be found from the previous data and the relation among weight and number average radii and the standard deviation of the distribution given by Herdan (6). 

The general approach is to define the traditional hydraulic radius, but for a more complex cross section for flow. For a porous medium, it is equivalent to the ratio of void volume to surface area, which is known for certain geometries, such as a packing of spheres ... 

Example In the set of the selected components obtained from the previous phase, the example of an active hydraulic suspension equipped with a sphere is taken for illustrating the validation phase (Fig. 6.21). A linear model of this component is considered with an equivalent stiffness, a dissipation through the orifice between the sphere and the chamber, and an ideal transduction between the hydraulic and the translational domains. The suspensions are supposed to be fed with volume flow rates considered now as the new control inputs of the overall system. The acausal... 

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See also in sourсe #XX -- [ ]

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