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Fourteen variables are involved in the problem and after dimensional analysis this reduces to 11 dimensionless parameters.
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MIT is offering a course in "Street-Fighting Mathematics" and the course materials are all online, ready for you to rock out in some TapouT and throw down some dimensional analysis in this bitch.
The investigation, based on applying dimensional analysis to this problem, as well as on detailed three-dimensional transient CFD results, revealed that the default bioreactor design and boundary conditions led to internal and external glucose transport, as well as shear stresses, that are conducive to hMSC growth and expansion.
A dimensional analysis of this force balance leads to the following time scale for mechanical stimulus transmission for a force applied in the transverse direction: where and are the prestress level and the radius of the stress fiber, respectively.
The redesign process also involved dimensional analysis to enable this laboratory scale room temperature unit to model an industrial scale unit, as well as design and manufacturing changes to accommodate thermal expansion.
This Dimensional analysis can be accomplished by using Buckingham π-theorem.
Using this dimensional analysis with the equivalent altered scale yields remarkable results.
In order to systematically evaluate the effectiveness of SBCs, the dimensional analysis is used in this study to quantify the connection responses as the function of input ground motion characteristics and SBC model parameters.
This two dimensional analysis is consistent with the definitions of short and long neck flexion employed in this study.
In this article, dimensional analysis is used as an alternative to analyse head and flow rate degradation of different pumps without the need of any major geometric parameters.
In this study, dimensional analysis of mixing time and reliability of the modified Reynolds and mixing time numbers are proposed for such a planetary mixer particularly named as TRIAXE® system.
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CEO of Professional Science Editing for Scientists @ prosciediting.com