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The model is validated using the advection diffusion analytical equation.
An analytical equation for the amount of compression is deduced.
An analytical equation providing good agreement with the 3D numerical results is finally proposed.
The finite-element approximation of the circumferential coordinates yields the analytical equation in the radial coordinate.
The actuator is designed on the grounds of an analytical equation.
Laboratory experiments were conducted in full-scale hyperbaric chamber in order to verify the analytical equation.
An approximate analytical equation for the surface tension at the cmc was obtained.
The results confirmed the applicability of our analytical equation to practical seismic data analysis.
Section 2.3.2 presents Weidmann's analytical equation to model the fundamental diagram (Equation 3).
These results confirm the applicability of our analytical equation to practical seismic data analysis.
Furthermore, based on the experimental evidences, an analytical equation was developed for ICP capacity using plastic yield line mechanism theory.
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