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The dimensionless parameters of a pipe flow's Reynolds number (Re), mass flow-rate number (mp/ μD)), specific induced airflow number (ρp· ugD2/mp)), height number (h/D), and granular-flow number (Gr) were obtained by using the Pi theorem.
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In this paper, new key performance indicators (KPIs) have been developed based on an in depth characterization and dimensional analysis of the Kraft process equipment using the Buckingham Pi theorem.
A fundamental relationship based on dimensionless numbers can be developed by analyzing the power consumption of mixer-type viscometers using the Buckingham-Pi theorem (Steffe 2007).
Using this analysis method, an empirical equation based on the pi theorem was deduced.
The current work presents a comparative study of wire electrical discharge machining (WEDM) of armour materials such as aluminium alloy 7017 and rolled homogeneous armour (RHA) steel using buckingham pi theorem to model the input variables and thermo-physical characteristics of WEDM on material removal rate (MRR) and surface roughness (Ra) of Al 7017 and RHA steel.
Scaling factors are established by using Buckingham Pi theorem for input parameters including geometric dimensions of the specimens, indenter, V shaped supports and indentation speed.
The theorem (and proof, if included) form a nice little chunk, using the LaTeX theorem enviroment.
Using the Bayes' theorem, the marginal likelihoods can be converted into posterior probabilities of different hypothesis.
Confidence limits for ET50 were calculated by using the Fieller theorem (25, 26 ).
Find 2-D distance by using the Pythagorean theorem.
Check your measurement by using the Pythagorean Theorem.
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