equivalent sphere
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2020 ◽  
Vol 22 (4) ◽  
Author(s):  
Daniela Paola Boso ◽  
Tommaso Braga ◽  
Simone Ravasini ◽  
Tatjana Škrbić ◽  
Andrea Puglisi ◽  
...  

Abstract The use of glass for pharmaceutical new applications such as high-technology drugs, requires the strictest container inertness. A common theme of paramount importance in glass container integrity preservation is the detailed mechanism driving the sudden failure due the crack propagation. Using a combination of discrete element method (DEM) and finite element method (FEM), a stress map for glass cartridges packed into an accumulation table and transported by a conveyor belt at a fixed velocity is obtained under realistic conditions. The DEM calculation provides a full description of the dynamics of the cartridges, as approximated by an equivalent sphere, as well as the statistics of the multiple collisions. The FEM calculation exploits this input to provide the maximum principal stress of different pairs as a function of time. Our analysis shows that, during their transportation on the conveyor belt, the cartridges are subject to several shocks of varying intensities. Under these conditions, a crack may originate inside the cartridge in the area of maximal tensile stress, and propagate outward. Estimated stresses are found in good agreement with real systems. Graphic abstract


2019 ◽  
Vol 11 (5) ◽  
pp. 114
Author(s):  
W. P. Silva ◽  
C. M. D. P. S. e Silva ◽  
J. P. Gomes ◽  
N. C. Santos ◽  
A. J. M. Queiroz ◽  
...  

Many times, the thermal properties of a product are determined but their uncertainties (and, mainly, the covariance matrix) are not provided. Thus, in the simulations, it is not possible to establish a confidence band for a transient state described through the values obtained for these properties. In this article, a model was proposed to determine thermal diffusivity and convective heat transfer coefficient, providing the above-mentioned lack of information, for a product with spherical geometry during its cooling. The proposed model involved: 1) an experimental data set of the cooling kinetics in a point within the product; 2) a one-dimensional numerical solution of the heat conduction equation; 3) an optimizer based on the Levenberg-Marquardt algorithm to determine the thermal properties, their uncertainties, and the covariance between the parameters. Model was applied for determining thermal properties of strawberries, using an equivalent sphere to represent the geometry of the product, and the obtained results were compatible with the literature results.


Author(s):  
Romain Ceolato ◽  
Florian Gaudfrin ◽  
Olivier Pujol ◽  
Nicolas Riviere ◽  
Matthew J. Berg ◽  
...  

MAPAN ◽  
2017 ◽  
Vol 32 (3) ◽  
pp. 229-241 ◽  
Author(s):  
Sumit K. Mishra ◽  
Nabanita Saha ◽  
S. Singh ◽  
Chhemendra Sharma ◽  
M. V. S. N. Prasad ◽  
...  

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Mateusz Jaskulski ◽  
Andreí Martínez-Finkelshtein ◽  
Norberto López-Gil

Purpose. To develop an objective refraction formula based on the ocular wavefront error (WFE) expressed in terms of Zernike coefficients and pupil radius, which would be an accurate predictor of subjective spherical equivalent (SE) for different pupil sizes.Methods. A sphere is fitted to the ocular wavefront at the center and at a variable distance,t. The optimal fitting distance,topt, is obtained empirically from a dataset of 308 eyes as a function of objective refraction pupil radius,r0, and used to define the formula of a new wavefront refraction metric (MTR). The metric is tested in another, independent dataset of 200 eyes.Results. For pupil radiir0≤2 mm, the new metric predicts the equivalent sphere with similar accuracy (<0.1D), however, forr0>2 mm, the mean error of traditional metrics can increase beyond 0.25D, and the MTR remains accurate. The proposed metric allows clinicians to obtain an accurate clinical spherical equivalent value without rescaling/refitting of the wavefront coefficients. It has the potential to be developed into a metric which will be able to predict full spherocylindrical refraction for the desired illumination conditions and corresponding pupil size.


2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Yazhe Tang ◽  
Jun Luo ◽  
Y. F. Li ◽  
Xiaolong Zhou

This paper presents a novel surveillance system named thermal omnidirectional vision (TOV) system which can work in total darkness with a wild field of view. Different to the conventional thermal vision sensor, the proposed vision system exhibits serious nonlinear distortion due to the effect of the quadratic mirror. To effectively model the inherent distortion of omnidirectional vision, an equivalent sphere projection is employed to adaptively calculate parameterized distorted neighborhood of an object in the image plane. With the equivalent projection based adaptive neighborhood calculation, a distortion-invariant gradient coding feature is proposed for thermal catadioptric vision. For robust tracking purpose, a rotational kinematic modeled adaptive particle filter is proposed based on the characteristic of omnidirectional vision, which can handle multiple movements effectively, including the rapid motions. Finally, the experiments are given to verify the performance of the proposed algorithm for human tracking in TOV system.


2014 ◽  
Vol 31 (3) ◽  
pp. 177-182
Author(s):  
Žaklina Mijović ◽  
Zoran Pešić ◽  
Nikola Živković ◽  
Tijana Denčić ◽  
Ana Ristić Petrović ◽  
...  

Summary The sequence of precursor lesions for squamous cell carcinoma may be hyperplasia-metaplasia-dysplasia-carcinoma in situ. The aim of this study was to perform a karyometric analysis of squamous metaplasia, moderate dysplasia and squamous cell lung carcinoma. Bronchoscopic biopsies of normal mucosa in chronic bronchitis patients (n=10), squamous metaplasia (n=10), moderate dysplasia (n=11), squamous cell lung carcinoma (n=48), and normal appearing mucosa surrounding carcinoma (n=11) were retrieved. Three nuclear variables were estimated using an image analysis system. The mean equivalent diameter, nuclear area and volume of equivalent sphere of squamous cell lung carcinoma were significantly larger than in moderate dysplasia, squamous metaplasia and normal bronchial mucosa. Also, the values of equivalent diameter, nuclear area and volume of equivalent sphere were significantly larger in normal appearing mucosa surrounding carcinoma compared to normal mucosa in chronic bronchitis patients. Karyometric analysis may be a helpful ancillary tool in distinguishing squamous cell lung carcinoma from dysplasia, and dysplasia from squamous metaplasia in bronchoscopic biopsy specimens.


2013 ◽  
Vol 7 (6) ◽  
pp. 1915-1929 ◽  
Author(s):  
F. Domine ◽  
S. Morin ◽  
E. Brun ◽  
M. Lafaysse ◽  
C. M. Carmagnola

Abstract. The permeability (K) of snow to air flow affects the transfer of energy, water vapor and chemical species between the snow and the atmosphere. Yet today little is known about the temporal evolution of snow permeability as a function of metamorphic regime. Furthermore, our ability to simulate snow permeability over the seasonal evolution of a snowpack has not been tested. Here we have measured the evolution of snow permeability in a subarctic snowpack subject to high temperature-gradient (TG) metamorphism. We have also measured the evolution of the same snowpack deposited over tables so that it evolved in the equi-temperature (ET) regime. Permeability varies in the range 31 × 10−10 (ET regime) to 650 × 10−10 m2 (TG regime). Permeability increases over time in TG conditions and decreases under ET conditions. Using measurements of density ρ and of specific surface area (SSA), from which the equivalent sphere radius r is determined, we show that the equation linking SSA, density ρ and permeability, K = 3.0 r2 e(−0.013 ρ) (with K in m2, r in m and ρ in kg m−3) obtained in a previous study adequately predicts permeability values. The detailed snowpack model Crocus is used to simulate the physical properties of the TG and ET snowpacks. For the most part, all variables are well reproduced. Simulated permeabilities are up to a factor of two greater than measurements for depth hoar layers, which we attribute to snow microstructure and its aerodynamic properties. Finally, the large difference in permeabilities between ET and TG metamorphic regimes will impact atmosphere-snow energy and mass exchanges. These effects deserve consideration in predicting the effect of climate change on snow properties and snow–atmosphere interactions.


2013 ◽  
Vol 15 (5) ◽  
pp. 21-29 ◽  
Author(s):  
Tae Young Yun ◽  
Sang Hyeok Ahn ◽  
Jueong Hee Nam ◽  
Pyeong Jun Yoo
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