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Therefore in this work, a method was proposed for inferring theoretically the contact angle from an energy analysis of the meniscus interfaces' area obtained from solving the 2-D Young Laplace equation for two vertically aligned touching equivalent spheres.
From these volumes we calculated the radii of equivalent spheres, and these radii were the only data entered into the mathematical formulations.
From the pre-operative MRI volumes, we calculated the average radii of equivalent spheres of the T1-Gd and T2 volumes for each of the 70 patients.
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cRadius of equivalent sphere.
Equivalent sphere diameter which is defined as the diameter of a sphere with the same volume as the STV volume.
Particle size distributions were determined based on equivalent sphere approximation after dispersing the powders in water (0 and 60 min).
This situation is relevant for larger particles (> 30 mm equivalent sphere) and thin wood chips, due to sharp edges aiding quick ignition.
The validity of the concept of equivalent sphere introduced by Aris in 1957 to multicomponent reacting systems is investigated in this paper.
During floc growth, changes in the scattering exponent, an indicator of a flocs' degree of compaction, were reflected by changes in the particle size (diameter of a volume equivalent sphere).
The sieve size sphere method, equivalent sphere method, and equivalent ellipsoid method were used with several combinations of friction coefficients to determine the significance of the particle simulation method on the dynamic aggregate behavior in discrete element method (DEM) simulations.
Data of the z-average radius of gyration as well as equivalent sphere radii such as the hydrodynamic radius (RH), the viscometric radius (RV), and the thermodynamic radius (RT) give some evidences of sphere-like structure.
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