Report of the CCU/CCQM Workshop on “The Metrology of Quantities Which Can Be Counted” by Richard J. C. Brown, Bernd Güttler, Pavel Neyezhmakov, Michael Stock, Robert I. Wielgosz, Stefan Kück, Konstantina Vasilatou

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Heat transfer across tube banks with a passive control vortex generator in steady one-directional and oscillatory flows by Chou, Aw Lin, Mohd. Sa’at, Fatimah Al-Zahrah, Shikh Anuar, Fadhilah, Sukri, Muhammad Firdaus, Akop, Mohd. Zaid, Abdul Manan, Zainuddin

“…The difference is discussed with respect to dimensionless quantity of Colburn j-factor, the non-dimensionless quantity, and the amplitude of temperature field. …”
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Handbook of Dimensional Analysis & Physical Quantities / by Cochran, Russ, author 645098, Maclean, Joie, author 647514

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The effects of Prandtl number on black hole accretion flows by Balbus, S, Lesaffre, P

“…Recent numerical simulations of MHD turbulence, under very different driving conditions, and by several different investigators, all indicate a sensitivity of the rms fluctuations to the ratio of the microscopic viscosity to resistivity. This dimensionless quantity is known as the magnetic Prandtl number Pm. …”

Depolarization ratio index (DRI) as alternative method in identifying oil‑filled transformer internal faults by Taib, Mohd. Aizam, Muhamad, Nor Asiah, Abdul Malek, Zulkurnain, Abdul Rahman, Mohd. Nazri

“…In this research, the unique characteristic pattern of each condition was determined by a single unique numerical dimensionless quantity known as depolarization ratio index (DRI). …”

A theoretical and computational framework for studying creep crack growth by Elmukashfi, E, Cocks, A

“…The theoretical framework gives the fundamental form of the model and only a single quantity Ck needs to be determined from the Finite Element analysis in terms of a dimensionless quantity 𝜙0, which is the ratio of geometric and material length scales. …”

A Numerical Investigation of Dimensionless Numbers Characterizing Meltpool Morphology of the Laser Powder Bed Fusion Process by Kunal Bhagat, Shiva Rudraraju

“…Then, through dimensional analysis, an important dimensionless quantity interpreted as a measure of heat absorbed by the powdered material and the meltpool, is identified. …”
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Thermally fluctuating, semiflexible sheets in simple shear flow by Silmore, Kevin S, Strano, Michael S, Swan, James W

“…As a function of the ratio of bending rigidity to shear energy (a dimensionless quantity we denote S) and the ratio of bending rigidity to thermal energy, we observe a dynamical transition from stochastic flipping to crumpling and continuous tumbling. …”
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Pore geometry control of apparent wetting in porous media by Rabbani, Harris Sajjad, Zhao, Benzhong, Juanes, Ruben, Shokri, Nima

“…We capture the interplay between surface chemical properties and pore geometry in the form of a dimensionless quantity, the apparent wettability number, which predicts the conditions under which concave and convex interfaces co-exist. …”
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Varying Newton Constant and Black Hole to White Hole Quantum Tunneling by Grigory Volovik

“…From this first law, it follows that the dimensionless quantity <inline-formula><math display="inline"><semantics><mrow><msup><mi>M</mi><mn>2</mn></msup><mo>/</mo><mi>K</mi></mrow></semantics></math></inline-formula> is the adiabatic invariant, which, in principle, can be quantized if to follow the Bekenstein conjecture. …”
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Comparative studies on the electronic transport in magnetically quantized low band gap semiconductor system by S Shrestha, C K Sarkar

“…The product of Z and temperature i.e. (ZT), a dimensionless quantity is found to be maximum for parabolic band structure and is followed by nonparabolic and hyperbolic band structures for all ranges of variation of temperature as well as magnetic field. …”
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Numerical and physical modeling of the aerodynamic process in a direct-flow coil-type boiler using a laboratory stand by Kuskarbekova Sulpan, Fedorenko Elena, Khrutskaya Anastasia, Karimov Ildar

“…The criterion for determining the gas flow regime is a dimensionless quantity called the Reynolds number. The air flow velocities and temperatures were determined experimentally. …”
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Pore geometry control of apparent wetting in porous media by Rabbani, Harris Sajjad, Zhao, Benzhong, Juanes, Ruben, Shokri, Nima

“…We capture the interplay between surface chemical properties and pore geometry in the form of a dimensionless quantity, the apparent wettability number, which predicts the conditions under which concave and convex interfaces co-exist. …”
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Measurement of the inclusive jet cross-section in pp collisions at root s=2.76 TeV and comparison to the inclusive jet cross-section at root s=7 TeV using the ATLAS detector by Aad, G, Abajyan, T, Abbott, B, Abdallah, J, Abdel Khalek, S, Abdelalim, A, Abdinov, O, Aben, R, Abi, B, Abolins, M, AbouZeid, O, Abramowicz, H, Abreu, H, Acharya, B, Adamczyk, L, Adams, D, Addy, T, Adelman, J, Adomeit, S, Adragna, P, Adye, T, Aefsky, S, Aguilar-Saavedra, J, Agustoni, M, Aharrouche, M

“…The ratio of the cross-section to the inclusive jet cross-section measurement at √s = 7 TeV, published by the ATLAS Collaboration, is calculated as a function of both transverse momentum and the dimensionless quantity xT = 2 pT/√s, in bins of jet rapidity. …”

A theoretical and computational investigation of mixed mode creep crack growth along an interface by Elmukashfi, E, Cocks, ACF

“…The analytical models are calibrated against detailed Finite Element models and a scaling function (Ck) is determined in terms of a dimensionless quantity ϕ0 (which is the ratio of geometric and material length scales), mode mixity χ and the deformation and damage coupling parameters. …”

Investigation of Field and Energy in a Weakly-Conducting Optical Fiber with an Arbitrary Degree of Refractive Index Profile by Vyacheslav A. Gladkikh, Victor D. Vlasenko

“…A graph of the dependence of a dimensionless quantity – “normalized” energy – on the waveguide parameter for the first five powers of the profile (n = 1, 2, 3, 4, 5) was plotted. …”
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Numerical study of the synergistic effect of cavitation and micro-abrasive particles by Yingze Fu, Xijing Zhu, Jianqing Wang, Tai Gong

“…The shock waves, micro-jets, and micro-abrasive particles were all positively affected by the dimensionless amount (R/R0) of cavitation bubble collapse, the larger the dimensionless quantity, the faster their velocity and the higher their pressure.…”
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Thermodynamic equipartition for increased second law efficiency by Zubair, Syed M., Thiel, Gregory Parker, McGovern, Ronan Killian, Lienhard, John H

“…The portion of irreversibility associated with driving force variance is quantified via a newly defined dimensionless quantity, the equipartition factor. This equipartition factor, related to the variance in dimensionless driving force throughout the system, is employed to formulate an expression for second law efficiency. …”
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Measurement of the inclusive jet cross-section in pp collisions at √ s = 2.76 TeV and comparison to the inclusive jet cross-section at √ s =7 TeV using the ATLAS detector by Taylor, Frank E

“…The ratio of the cross-section to the inclusive jet cross-section measurement at √s = 7 TeV, published by the ATLAS Collaboration, is calculated as a function of both transverse momentum and the dimensionless quantity x[subscript T]=2p[subscript T]/√s, in bins of jet rapidity. …”
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Hyperspectral Alteration Information from Drill Cores and Deep Uranium Exploration in the Baiyanghe Uranium Deposit in the Xuemisitan Area, Xinjiang, China by Qing-Jun Xu, Fa-Wang Ye, Shao-Feng Liu, Zhi-Xin Zhang, Chuan Zhang

“…Additionally, the variety in the characteristic absorption-peak wavelength of illite at 2200 nm gradually shifts to shorter wavelength and ranges between 2195 nm and 2220 nm with increasing depth, while the SWIR-IC (short-wavelength infrared illite crystallinity, a dimensionless quantity) of the drill holes gradually increases from 0.2 to 2.1. …”
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