The main idea of IGM is to directly use the geometry provided by the CAD system, and following the isoparametric approach, to approximate the unknown variables of differential equation by the same functions which are used in the CAD system.
In this section, the existence of order-1 periodic solution of system (1) is investigated by using the differential equation geometry theory and Bendixson theorem of impulsive differential equations.
The parameters, and, of the outer ellipse are calculated from the delay spread using the following equations [6], while the inner ellipse is specified by the road geometries.
Based on thermal transport hardware and software, it was possible to calculate thermal conductivity directly from the applied heater power, resulting ∆T, and sample geometry using the equation: k=frac{Pl}{Sleft {T}_2-{T}_1right)} (1 where k is the thermal conductivity (W/Km), P is applied heater power (W), l is the height of measured sample (m) and S is the cross sectional area of sample (m2).
Using the ideal governing equations an optimized geometry of the rotor was selected for the working head of 5 m.
These observations can be modeled using the equations in a tilted magnetic field geometry such as those introduced by Sciffer and Waters (2002).
The average pore diameter (D p ) is estimated from the pore volume, assuming a cylindrical pore geometry and using the equation 4V t /S BET.
The strain for the e31 geometry was obtained using the equation ϵ = 2 t′ × h/(a2 + h2), where a, h, and t′ represent the half-width of the arc, the height of the arc, and the distance from the strain neutral line to the center of the LiNbO3-PDMS composite layer, respectively[25].
The strain for the e33 geometry was then calculated using the equation ϵ = P/Y, where P represents the applied pressure.
Simulation of steady-state incompressible flow in the system used the Navier Stokes equations and the geometry of a single sensor and channel in COMSOL Multiphysics 3.5a (COMSOL; Burlington, MA).
