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Various methods — turbulent kinetic energy balance, Taylors hypothesis, and dimensional analysis — have been proposed to estimate the dissipation rate of turbulent kinetic energy.
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An interpretative model, based on the dimensional analysis, has been used for the description of the experimental results.
In this study, based on experimental data, dimensional analysis has been used to develop dimensionless correlations for predicting hydrodynamic characteristics of Geldart B particles in tapered fluidized bed.
Furthermore, a dimensional analysis has been performed, leading to a correlation relating a Froude number (in which the critical agitation Nc for complete particle suspension is embedded) to four other dimensionless numbers.
Dimensional analysis has been carried out to establish sizes of specimen.
A three-dimensional analysis has revealed that the ductile crack initiation occurs by formation of disconnected microcracks along the crack front.
Three-dimensional analysis has also made possible the first quantitative three-dimensional measurements of cementite precipitates and yielded a more precise classification of cementite precipitates than was possible with classical two-dimensional techniques.
Imaging technologies for three-dimensional (3D) analysis have been identified as a strategic priority in TERM research.
Although light microscopy and three-dimensional image analysis have made considerable progress during the last decade, it is still challenging to analyze the genome nano-architecture of specific gene domains in three-dimensional cell nuclei by fluorescence microscopy.
Here again results show superiority of the logarithmic algorithm and illustrate how our one dimensional mathematical analysis has direct applicability to clinical two dimensional hardware systems.
Novel tools for high-dimensional global sensitivity analysis have been a subject of ongoing research; however, for models with a high dimensional parameter space (our model has more than 250 parameters and 70 initial conditions), global sensitivity analysis remains challenging if not prohibitive due to high computational costs.
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