Sentence examples for dimensional analysis several from inspiring English sources

Based on the dimensional analysis, several scaling relationships in the indentation of metallic foams with a spherical indenter are obtained.

Regarding dimensional analysis, several dimensionless relationships are constructed as functions of the reduced elastic modulus-loading curvature ratio E∗/C and the strain hardening exponent n.

In order to facilitate the analysis, several non-dimensional parameters are identified and used for formulation.

To overcome the assumption of one-dimensional velocity structures in surface wave analysis, several workers have proposed methods to estimate quasi-two-dimensional dispersion curves with high spatial resolution (e.g., Hayashi and Suzuki 2004; Boiero and Socco 2010; Bergamo et al. 2012; Ikeda et al. 2013).

Several examples are illustrated to demonstrate how a straightforward application of dimensional analysis and scaling may provide some very crucial insight in the solution of the problem considered.

For the purpose of parameter analysis, several representative chemical reactions were chosen and the governing equations were expressed in a non-dimensional form.

Dimensional analysis.

Dimensional analysis involving transcendental functions.

Dimensional analysis and similarity.

Similarity and dimensional analysis.

Dimensional analysis and dynamic similarity.