Sentence examples for use of dimensional analysis from inspiring English sources
In this paper, a combined use of dimensional analysis (DA) and modern statistical design of experiment (DOE) methodologies is proposed for a hydrodynamics experiment where there are a large number of variables.
Maxwell was also the first to make explicit use of dimensional analysis, in 1871.
One of the most important uses of dimensional analysis lies in the design of engineering models and the interpretation of their performance.
An analytical expression is derived for the dissipation potential using the concepts of dimensional analysis and self-similarity to describe a fatigue crack propagation model for concrete.
Based on a databank of around 3500 measurements collected from the open literature, a correlation for gas holdup was derived using a combination of Dimensional Analysis and artificial neural network (ANN) modeling.
A new concept called shale number (SN) is developed and detailed steps of derivation using mathematical technique of dimensional analysis is presented in "Appendix" as Eq. 21, and given below by Eq. 11.
All simulations presented in this study are universally scaled by normalization using the rules of dimensional analysis (e.g., Weijermars and Schmeling 1986; Hewett and Behrens 1991; Bar-Meir 2013) and can be translated to dimensional units for specific applications.
The SIF thus derived is further used in developing an analytical model which predicts the entire crack growth curve for plain concrete by making use of the concepts of dimensional analysis and self similarity in conjunction with the human population growth model.
Video data and interview materials were analysed using an adapted form of dimensional analysis [DA] [ 30].
The penalty parameters are derived by means of dimensional analysis using penalty factors of order 1.
The method of dimensional analysis is used in every field of engineering, especially in such fields as fluid dynamics and thermodynamics where problems with many variables are handled.
