scholarly journals Using the Interval Metric for Modeling Entities Geometrics in R2 – Case Study Interval Circumference

2020 ◽  
Vol 21 (1) ◽  
pp. 65
Author(s):  
Sergio S. Aguiar ◽  
Roque M. P. Trindade ◽  
Alexsandra O. Andrade ◽  
Alzira F. Silva ◽  
Gonçalo R. Cerquiera

The study of some distances provide science away to separate two entities.It has applications in various fields such as remote sensing, datamining, pattern recognition and multivariate data analysis and others. If the distance is a Hausdorff metric, the guarantee is that all individuals are available. With the use of the distance of Trindade et al, we intend to extend the real topology to an interval topology, since the interval distance preserves the uncertainties and exits noise in the data. The present work proposes an interval circumference using an interval distance of a point to the center (pixel), like a set of pixels obeying certain distances to the center. With the interval circumference we intend to extend the notion of open ball and the concepts of neighborhood for the construction of the interval topology. A circumference separates a space into three regions, inner region, border region and outer region, where we construct our notion of neighborhood. In this work we will explore only the geometric properties of the intervalcircumference, we will extrapolate the notion from point to pixel by providing a differentiated frontier region for the clustering area.

2018 ◽  
Vol 60 (1) ◽  
pp. 5-13 ◽  
Author(s):  
Martin Barthel ◽  
Ewelina Barthel

Abstract This paper focuses on the largely unexamined phenomenon of the developing trans-national suburban area west of Szczecin. Sadly the local communities in this functionally connected area struggle with national planning policies that are unsuitable for the region. The paper examines the impact of those processes on the border region in general and on the localities in particular. The paper investigates the consequences for local narratives and the cohesive development of the Euroregion and what position Polish and German communities took to develop the region, even without the necessary planning support. The region has succeeded in establishing grass-roots planning mechanisms which have helped to create a metropolitan-region working from the bottom up.


2021 ◽  
Vol 37 (1) ◽  
pp. 88-106
Author(s):  
Harry Setiawan ◽  
◽  
Siti Karlinah ◽  
Dadang Rahmat Hidayat ◽  
Yuliandre Darwis ◽  
...  

Border residents in Meranti Regency still love Malaysian free to air television broadcasts. The broadcasting regulation stipulates that broadcasters must provide free to air access to foster a love of Indonesian television broadcasts and a spirit of nationalism for all levels of society. However, the reality in the field is inversely proportional. An important point that questioned in this research is how the implementation of broadcasting regulations governing equality of access to information and containers of cultural expression in free to air broadcasts for all Indonesian people, especially in border areas. This study aims to reveal the extent of the application of broadcasting regulations in the border region in the context of free to air broadcasts and cultural expression containers in free to air broadcasts. Social action media studies used as an analytical tool to reveal that access and broadcasting infrastructure are a necessity for reaching viewers. The program of the choice model is another analytical tool in uncovering the motives for selecting free to air broadcasts that are loved by border society. The case study method used to find data from the field of a single case that is the implementation of free to air broadcasting regulations in the Indonesian border region of Malaysia. As a result, broadcasting regulations are considered unsuccessful in the context of free to air in the border regions, and the expression of Malay culture has no place on Indonesian television, which in turn, the Malay cultural preference filled with free to air Malaysian broadcasts. Keyword: Broadcasting, free-to-air, audience, border society, culture.


2016 ◽  
Vol 13 (2) ◽  
pp. 387-395 ◽  
Author(s):  
Ingvar Eide ◽  
Frank Westad ◽  
Ingunn Nilssen ◽  
Felipe Sales de Freitas ◽  
Natalia Gomes dos Santos ◽  
...  

Author(s):  
Richard W. Jackson ◽  
Dario Luberti ◽  
Hui Tang ◽  
Oliver J. Pountney ◽  
James A. Scobie ◽  
...  

Abstract The flow inside cavities between co-rotating compressor discs of aero-engines is driven by buoyancy, with Grashof numbers exceeding 1013. This phenomenon creates a conjugate problem: the Nusselt numbers depend on the radial temperature distribution of the discs, and the disc temperatures depend on the Nusselt numbers. Furthermore, Coriolis forces in the rotating fluid generate cyclonic and anti-cyclonic circulations inside the cavity. Such flows are three-dimensional, unsteady and unstable, and it is a challenge to compute and measure the heat transfer from the discs to the axial throughflow in the compressor. In this paper, Nusselt numbers are experimentally determined from measurements of steady-state temperatures on the surfaces of both discs in a rotating cavity of the Bath Compressor-Cavity Rig. The data are collected over a range of engine-representative parameters and are the first results from a new experimental facility specifically designed to investigate buoyancy-induced flow. The radial distributions of disc temperature were collected under carefully-controlled thermal boundary conditions appropriate for analysis using a Bayesian model combined with the equations for a circular fin. The Owen-Tang buoyancy model has been used to compare predicted radial distributions of disc temperatures and Nusselt numbers with some of the experimentally determined values, taking account of radiation between the interior surfaces of the cavity. The experiments show that the average Nusselt numbers on the disc increase as the buoyancy forces increase. At high rotational speeds the temperature rise in the core, created by compressibility effects in the air, attenuates the heat transfer and there is a critical rotational Reynolds number for which the Nusselt number is a maximum. In the cavity, there is an inner region dominated by forced convection and an outer region dominated by buoyancy-induced flow. The inner region is a mixing region, in which entrained cold throughflow encounters hot flow from the Ekman layers on the discs. Consequently, the Nusselt numbers on the downstream disc in the inner region tend to be higher than those on the upstream disc.


2019 ◽  
Vol 31 (5) ◽  
pp. 763-781
Author(s):  
EHUD YARIV

AbstractWe consider two-dimensional mass transport to a finite absorbing strip in a uniform shear flow as a model of surface-based biosensors. The quantity of interest is the Sherwood number Sh, namely the dimensionless net flux onto the strip. Considering early-time absorption, it is a function of the Péclet number Pe and the Damköhler number Da, which, respectively, represent the characteristic magnitude of advection and reaction relative to diffusion. With a view towards modelling nanoscale biosensors, we consider the limit Pe«1. This singular limit is handled using matched asymptotic expansions, with an inner region on the scale of the strip, where mass transport is diffusively dominated, and an outer region at distances that scale as Pe-1/2, where advection enters the dominant balance. At the inner region, the mass concentration possesses a point-sink behaviour at large distances, proportional to Sh. A rescaled concentration, normalised using that number, thus possesses a universal logarithmic divergence; its leading-order correction represents a uniform background concentration. At the outer region, where advection by the shear flow enters the leading-order balance, the strip appears as a point singularity. Asymptotic matching with the concentration field in that region provides the Sherwood number as $${\rm{Sh}} = {\pi \over {\ln (2/{\rm{P}}{{\rm{e}}^{1/2}}) + 1.0559 + \beta }},$$ wherein β is the background concentration. The latter is determined by the solution of the canonical problem governing the rescaled inner concentration, and is accordingly a function of Da alone. Using elliptic-cylinder coordinates, we have obtained an exact solution of the canonical problem, valid for arbitrary values of Da. It is supplemented by approximate solutions for both small and large Da values, representing the respective limits of reaction- and transport-limited conditions.


2019 ◽  
Vol 629 ◽  
pp. A106 ◽  
Author(s):  
Sota Arakawa ◽  
Yuhito Shibaike

Jupiter has four large regular satellites called the Galilean satellites: Io, Europa, Ganymede, and Callisto. The inner three of the Galilean satellites orbit in a 4:2:1 mean motion resonance; therefore their orbital configuration may originate from the stopping of the migration of Io near the bump in the surface density distribution and following resonant trapping of Europa and Ganymede. The formation mechanism of the bump near the orbit of the innermost satellite, Io, is not yet understood, however. Here, we show that photophoresis in the circumjovian disk could be the cause of the bump using analytic calculations of steady-state accretion disks. We propose that photophoresis in the circumjovian disk could stop the inward migration of dust particles near the orbit of Io. The resulting dust-depleted inner region would have a higher ionization fraction, and thus admit increased magnetorotational-instability-driven accretion stress in comparison to the outer region. The increase of the accretion stress at the photophoretic dust barrier would form a bump in the surface density distribution, halting the migration of Io.


1999 ◽  
Vol 393 (1-3) ◽  
pp. 181-191 ◽  
Author(s):  
Mari Pantsar-Kallio ◽  
Satu-Pia Mujunen ◽  
George Hatzimihalis ◽  
Paul Koutoufides ◽  
Pentti Minkkinen ◽  
...  

2020 ◽  
Vol 143 (1) ◽  
Author(s):  
Guohu Luo ◽  
Zhenqiang Yao

Abstract This study investigates the mean flow and radial heat-transfer behaviors in semiclosed rotating disk cavity within the canned reactor coolant pump. The flow in the semiclosed cavity contains the Stewartson type flow at inner region and the Batchelor type flow at outer region. The heat is radially transported from the outer rim of the semiclosed disk cavity to discharge-hole through the nondirect discharge (ND) portion of the superimposed flow from inlet. The effects of rotating Reynolds numbers, cavity aspect ratio and radial location of discharge-hole on the discharge ratio, pumping mass flow rate, local wall shear stress and radial heat-transfer coefficient are examined in the semiclosed rotating cavity flow, respectively. Based on the radial heat transfer behaviors of pumping secondary flow, an equivalent thermal network is proposed and validated by experiments, which can effectively predict the radial temperature distribution from the discharge hole to periphery with the viscous-heating and nonisothermal effects.


Sign in / Sign up

Export Citation Format

Share Document