Sentence examples for in previous analytical from inspiring English sources

The framework was found to have two distinct sections to it when applied to practice and this was not evident in previous analytical work.

In particular, effects of anchorage at the ends of the attached CFRP sheets, which have never been modeled in previous analytical studies to date, were incorporated into the developed model.

In particular, slow advection (leakage) into an aquitard is often neglected in previous analytical treatment of solute transport, making such analytical solutions unsuitable for benchmarking numerical simulations of transport when aquitard leakage exists.

Because of this unsteady flow effect associated with the considerable Strouhal number, which was not taken into account in previous analytical studies on the phonation onset [e.g.], [ 1], [4,27], a phase difference (or time lag) can appear between the vocal fold motion and glottal pressure fluctuation.

The negative effect of whole body vibration on maximal force was also noted in a previous analytical review but observed mostly in non-elite athletes (Rittweger 2010).

The dependence of the optimal phenotype on the environment follows the same trend in the previous analytical model as it does in our current simulation results, wherein simulations of distant sources are similar to simple shallow gradients and nearer sources are analogous to steeper gradients.

In our unsteady flow theory, we linearized the flow descriptions through perturbation analysis around the time-mean value; these small amplitude assumptions were also used in the previous analytical studies by Ishizaka and Matsudaira [1], [2] and Titze [4], [5].

In contrast to previous analytical results, the present model is applicable in the general case where cubic and higher order terms in the axial acoustic velocity become important and to examine the influence of a non-vanishing radial velocity term.

In accordance with previous analytical predictions, it is shown that cellular flames occurring in low Lewis number premixtures can propagate with heat-loss rates greater than the maximum that extinguishes the planar flame.

Moreover, experimental validations are lacking and the authors have never evaluated and highlighted the improvements brought by the use of tomography in comparison with previous analytical models.

In this paper, previous analytical solutions obtained for single U- and Z-type flow configurations are extended to multiple U- and multiple Z-type flow configurations of interest to fuel cell applications.