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Chatter Vibration Prediction and Stability Analysis of Variable Pitch and Variable Helix Milling Cutters through Dimensionless Stability Charts

Chatter Vibration Prediction and Stability Analysis of Variable Pitch and Variable Helix Milling Cutters through Dimensionless Stability Charts
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Empirical modelling of supercritical Nusselt number correlations with possible combinations of indicative dimensionless variables

International Communications in Heat and Mass Transfer, 2023
Hui Cheng, Kwun Ting Lau, Shahid Ali Khan   +2 more
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Dimensionless Design of Variable Displacement Pumps

ASME 2009 Dynamic Systems and Control Conference, Volume 1, 2009
External market forces constrain the design of engineered systems in much the same way that environmental conditions constrain the evolution of biological systems. Dimensional analysis is used to find functional relationships within biological systems and in turn can be used determine design relationships for engineered ones.
Scott Manwaring, Andrew Alleyne
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Computerized, interactive calculation of dimensionless variables

Computers & Education, 1990
Abstract A method for the calculation of dimensionless variables is given by the direct application of the proof of the Pi Theorem. The method requires the inversion of a small matrix. The procedure leads to a very efficient computerized calculation of dimensionless variables. Three applications from fluid mechanics are given as illustrations.
S.M. Calisal, H.L. Wong
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Undesirable properties of the dimensionless normalisation for spatio-temporal variables

Gait & Posture, 2017
We used theory and empirical data to demonstrate three undesirable properties of the dimensionless normalisation technique for gait spatio-temporal parameters. Firstly, it may not fully remove the correlation between leg length and spatio-temporal parameters.
Kohleth, Chia, Morgan, Sangeux
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A dimensionless variable for the scale up and transfer of a roller compaction formulation

Drug Development and Industrial Pharmacy, 2015
Roller compaction is the most commonly employed dry granulation process in the pharmaceutical industry. While this process is increasingly used as an alternative to wet granulation, there are no parameter sets or system of equations to quickly scale up or transfer a formulation between two pieces of equipment.
Nathan, Boersen, David, Belair, Garnet E, Peck, Rodolfo, Pinal   +3 more
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Dimensionless Measures of Variability and Dependence for Multivariate Continuous Distributions

Communications in Statistics - Theory and Methods, 2007
In this article, we suggest dimensionless descriptive measures of multivariate variability and dependence which can be used in comparisons of random vectors of different dimensions. Our work generalizes the measures of scatter and linear dependence proposed by Pena and Rodriguez (2003).
Daniel Peña, Angelika van der Linde
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Studying the general properties of potentials by means of dimensionless scaling variables

Bulletin of the Russian Academy of Sciences: Physics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blokhintsev, L. D., Eremenko, V. O., Orlov, Yu. V., Savin, D. A.   +3 more
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Meniscus height as a function of dimensionless variables for drop-on-demand applications

Journal of the Korean Physical Society, 2013
This paper reports experimental correlations for the dimensionless meniscus height (h/D) as a function of the dimensionless variables that govern the physics of meniscus generation for drop-on-demand applications. Two liquids were considered in this study: namely, ethylene glycol and ethanol.
Choi Kyung Hyun, Syed Murtuza Mehdi
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