Sentence examples for characterization equation from inspiring English sources

These results are of extreme importance from the simulation point of view as they are the final building block of the flow characterization equation.

Substituting Eq. (5) into Eq. (6), the characterization equation of visco-elastic Rayleigh wave becomes 4{p}^2alpha beta -{left {beta}^2+{p}^2right)}^2=0 (8).

Beginning with the Kelvin model, the characterization equation and the normal displacement of visco-elastic Rayleigh waves in stratified half-space structures are derived and the influence of the visco-elastic modulus on dispersion and attenuation is discussed.

In this paper, according to the fundamental visco-elastic theory, the characterization equations for the Rayleigh waves and Rayleigh-like waves in stratified half-space structures are found by means of the Laplace/Hankel transform method.

This result enables us to give the following full characterization of equation (1.1).

The characterization frequency equations can be obtained by continuation of the displacement and the stress.

This review presents a comprehensive survey of the recent studies on optical characterization, relevant equations and theoretical modeling approaches, and application of nanofluids in direct absorption solar collectors.

Based on general visco-elastic theory and regarded the visco-elastic media as a Kelvin mode, the characterization frequency equations are found by means of the Laplace/Hankel transform, and transient displacement of the visco-elastic, Rayleigh-like wave is derived; the dispersion and attenuation curves due to viscosity are calculated numerically.

Due to the reducing velocity of the drop weight and the reducing length of test specimen with increasing deformation, it is impossible to maintain a constant strain rate in the specimen during the characterization; analytical equations have been established that enable the transformation of engineering strain rate to true strain rate.

Moreover, we presented some properties and characterization of the equation that admits a vector field as λ-symmetry.

For the case of pore size characterization a simple analytical equation is available and a worked example is provided along with a narrative on best practice.