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The equivalent spherical diameter of an irregularly shaped object is the diameter of a sphere of equivalent geometric, optical, electrical, aerodynamic or hydrodynamic behavior to that of the particle under investigation. [1] [2] [3]
In applied sciences, the equivalent radius (or mean radius) is the radius of a circle or sphere with the same perimeter, area, or volume of a non-circular or non-spherical object. The equivalent diameter (or mean diameter ) ( D {\displaystyle D} ) is twice the equivalent radius.
is the equivalent spherical diameter of the packing, is the density of fluid, is the dynamic viscosity of the fluid, is the superficial velocity (i.e. the velocity that the fluid would have through the empty tube at the same volumetric flow rate),
For a fully filled duct or pipe whose cross-section is a convex regular polygon, the hydraulic diameter is equivalent to the diameter of a circle inscribed within the wetted perimeter. This can be seen as follows: The N {\displaystyle N} -sided regular polygon is a union of N {\displaystyle N} triangles, each of height D / 2 {\displaystyle D/2 ...
This enables rapid measurement of a particle size distribution by an instrument, but does require some form of calibration or assumptions regarding the nature of the particles. Most often this includes the assumption of spherical particles, thus giving a result which is an equivalent spherical diameter. Thus, it is usual for measured particle ...
The longest diameter is called the major axis. Conjugate diameters are a pair of diameters where one is parallel to a tangent to the ellipse at the endpoint of the other diameter. Several kinds of object can be measured by equivalent diameter, the diameter of a circular or spherical
is the diameter of the volume equivalent spherical particle; V 0 {\displaystyle V_{\mathrm {0} }} is the superficial or "empty-tower" velocity which is directly proportional to the average volumetric fluid flux in the channels (q), and porosity ( ε {\displaystyle \mathbf {\varepsilon } } ).
Equivalent spherical diameter, a diameter of a sphere of equivalent volume; Extreme subdwarf, a type of star; Medicine. End-systolic dimension, the diameter across a ...