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At the same time, the 3D surface profile simulations of workpieces based on analytic solutions of Euler equations were achieved.
The work presented provides a path to incorporate these neglected factors and offers a simplified estimation for couple performance based on analytic solutions of governing equations.
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The model uses original numerical-analytic calculations based on analytical solutions of the equation of waveguide steps vibrations and their continuous matching with numerical solution of the equation of transitional section vibrations.
A decision-making procedure based on analytic hierarchy process (AHP) has been adopted to find the best compromise solution from the set of Pareto-solutions obtained through MNSGA-II.
One of them is based on analytic vectors.
In addition, predictions based on the analytic solutions were compared with predictions based on computational methods.
Using a relatively simple and approximate theoretical model calculation of an upward drift of the equatorial ionospheric plasma, based on the analytic solutions of the continuity equation for daytime solar maximum conditions, Oyekola and Akin Ojo (2008) have examined interrelationship between equatorial ionospheric F2-region parameters.
Based on the analytic solution of temperature difference and humidity ratio difference between air and solution, minimum entransy dissipation is determined when the states of inlet air and solution lie on the same iso-relative humidity line.
The GRP (generalized Riemann problem) scheme is based on an analytic solution of the GRP at jump discontinuities.
This paper initially presents a new meta-model developed to calculate carbonation front depth based on the analytic solution of Fick's first law.
The resulting generalized multicomponent film model for non-ideal fluid mixtures is based on an analytic solution to the Maxwell-Stefan equations.
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