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Journal articles on the topic 'Bipolar coordinates'

Author: Grafiati

Published: 4 June 2025

Last updated: 15 July 2025

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1

Nelson, David. "BIPOLAR COORDINATES AND PLOTTERS*." PRIMUS 4, no. 1 (1994): 77–83. http://dx.doi.org/10.1080/10511979408965735.

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2

Huang, Zhu, and John P. Boyd. "Chebyshev–Fourier spectral methods in bipolar coordinates." Journal of Computational Physics 295 (August 2015): 46–64. http://dx.doi.org/10.1016/j.jcp.2015.03.062.

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3

Li, Chenglong, Jinbei Wei, Jianxiong Han, et al. "Efficient deep-blue OLEDs based on phenanthro[9,10-d]imidazole-containing emitters with AIE and bipolar transporting properties." Journal of Materials Chemistry C 4, no. 42 (2016): 10120–29. http://dx.doi.org/10.1039/c6tc03923e.

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4

Yu, Hua, Ya-jing Meng, Xiao-jing Li, et al. "Common and distinct patterns of grey matter alterations in borderline personality disorder and bipolar disorder: voxel-based meta-analysis." British Journal of Psychiatry 215, no. 01 (2019): 395–403. http://dx.doi.org/10.1192/bjp.2019.44.

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BackgroundWhether borderline personality disorder (BPD) and bipolar disorder are the same or different disorders lacks consistency.AimsTo detect whether grey matter volume (GMV) and grey matter density (GMD) alterations show any similarities or differences between BPD and bipolar disorder.MethodWeb-based publication databases were searched to conduct a meta-analysis of all voxel-based studies that compared BPD or bipolar disorder with healthy controls. We included 13 BPD studies (395 patients with BPD and 415 healthy controls) and 47 bipolar disorder studies (2111 patients with bipolar disorder and 3261 healthy controls). Peak coordinates from clusters with significant group differences were extracted. Effect-size signed differential mapping meta-analysis was performed to analyse peak coordinates of clusters and thresholds (P&lt; 0.005, uncorrected). Conjunction analyses identified regions in which disorders showed common patterns of volumetric alteration. Correlation analyses were also performed.ResultsPatients with BPD showed decreased GMV and GMD in the bilateral medial prefrontal cortex network (mPFC), bilateral amygdala and right parahippocampal gyrus; patients with bipolar disorder showed decreased GMV and GMD in the bilateral medial orbital frontal cortex (mOFC), right insula and right thalamus, and increased GMV and GMD in the right putamen. Multi-modal analysis indicated smaller volumes in both disorders in clusters in the right medial orbital frontal cortex. Decreased bilateral mPFC in BPD was partly mediated by patient age. Increased GMV and GMD of the right putamen was positively correlated with Young Mania Rating Scale scores in bipolar disorder.ConclusionsOur results show different patterns of GMV and GMD alteration and do not support the hypothesis that bipolar disorder and BPD are on the same affective spectrum.Declaration of interestNone.

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5

Rajamouli, Boddula, and Vaidyanthan Sivakumar. "Effect of carbazole functionalization with a spacer moiety in the phenanthroimidazole bipolar ligand in a europium(iii) complex on its luminescence properties: combined experimental and theoretical study." New Journal of Chemistry 41, no. 3 (2017): 1017–27. http://dx.doi.org/10.1039/c6nj03014a.

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A carbazole functionalized phenanthroimidazole based bipolar ligand consisting of a β-diketonate Eu(iii) complex shows efficient energy transfer and QE (11.5%) with appropriate CIE color coordinates (x = 0.66, y = 0.33).

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6

Rajamouli, B., C. S. Dwaraka Viswanath, S. Giri, C. K. Jayasankar, and V. Sivakumar. "Carbazole functionalized new bipolar ligand for monochromatic red light-emitting europium(iii) complex: combined experimental and theoretical study." New Journal of Chemistry 41, no. 8 (2017): 3112–23. http://dx.doi.org/10.1039/c6nj03947b.

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Complete energy transfer observed from carbazole functionalized bipolar ligand as well as β-diketonate to Eu(iii) ion and Eu(iii) complex shows efficient PLQE (41.4%) with appropriate CIE color coordinates (x = 0.64, y = 0.36).

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7

Chen, Huanyang, and C. T. Chan. "“Cloaking at a distance” from folded geometries in bipolar coordinates." Optics Letters 34, no. 17 (2009): 2649. http://dx.doi.org/10.1364/ol.34.002649.

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8

Khomasuridze, N. "Solution of some elasticity boundary value problems in bipolar coordinates." Acta Mechanica 189, no. 3-4 (2007): 207–24. http://dx.doi.org/10.1007/s00707-006-0388-6.

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9

Alaci, Stelian, Florina-Carmen Ciornei, and Ionut-Cristian Romanu. "Stress State in an Eccentric Elastic Ring Loaded Symmetrically by Concentrated Forces." Mathematics 10, no. 8 (2022): 1314. http://dx.doi.org/10.3390/math10081314.

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The stress state from an eccentric ring made of an elastic material symmetrically loaded on the outer boundary by concentrated forces is deduced. The analytical results are obtained using the Airy stress function expressed in bipolar coordinates. The elastic potential corresponding to the same loading but for a compact disk is first written in bipolar coordinates, then expanded in Fourier series, and after that, an auxiliary potential of a convenient form is added to it in order to impose boundary conditions. Since the inner boundary is unloaded, boundary conditions may be applied directly to the total potential. A special focus is on the number of terms from Fourier expansion of the potential in bipolar coordinates corresponding to the compact disk as this number influences the sudden increase if the coefficients from the final form of the total potential. Theoretical results are validated both by using finite element software and experimentally through the photoelastic method, for which a device for sample loading was designed and constructed. Isochromatic fields were considered for the photoelastic method. Six loading cases for two different geometries of the ring were studied. For all the analysed cases, an excellent agreement between the analytical, numerical and experimental results was achieved. Finally, for all the situations considered, the stress concentration effect of the inner hole was analytically determined. It should be mentioned that as the eccentricity of the inner hole decreases, the integrals from the relations of the total elastic potential present a diminishing convergence in the vicinity of the inner boundary.

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10

Alexanyan, R., L. Harutunyan, and A. Sedrakyan. "FLAT PROBLEM FOR OUTSIDE A CIRCULAR SEGMENT." Slovak international scientific journal, no. 80 (February 12, 2024): 34–37. https://doi.org/10.5281/zenodo.10651872.

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A plane problem of circular segment with mixed boundary condition is considered. On the border of thecircular segment normal and shear stresses given, and normal stress and shear displacement of the boundary aregiven on theother part. With the stress function and Fourier integrals in the bipolar system of coordinates theproblem solved is closed. A particular case is considered.

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11

Bligard, Gregory W., James DeBrecht, Robert G. Smith, and Peter D. Lukasiewicz. "Light-evoked glutamate transporter EAAT5 activation coordinates with conventional feedback inhibition to control rod bipolar cell output." Journal of Neurophysiology 123, no. 5 (2020): 1828–37. http://dx.doi.org/10.1152/jn.00527.2019.

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Excitatory amino acid transporter 5 (EAAT5) glutamate transporters have a chloride channel that is strongly activated by glutamate, which modulates excitatory signaling. We found that EAAT5 is a major contributor to feedback inhibition on rod bipolar cells. Inhibition to rod bipolar cells is also mediated by GABA and glycine. GABA and glycine mediate the early phase of feedback inhibition, and EAAT5 mediates a more delayed inhibition. Together, inhibitory transmitters and EAAT5 coordinate to mediate feedback inhibition, controlling neuronal output.

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12

Little, Tara M., and Philip W. Jordan. "PLK1 is required for chromosome compaction and microtubule organization in mouse oocytes." Molecular Biology of the Cell 31, no. 12 (2020): 1206–17. http://dx.doi.org/10.1091/mbc.e19-12-0701.

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By deleting Plk1 in mouse oocytes before meiotic resumption, we show that PLK1 is essential for the formation of condensed bivalent chromosomes, microtubule organizing center fragmentation, liquid-like spindle domain localization, and bipolar spindle formation. Thus, PLK1 coordinates processes that ensure chromosome segregation during meiosis I.

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13

Dyakin, V. V., O. V. Kudryashova, and V. Ya Raevskii. "Exact solution of one problem of magnetostatics in bipolar coordinates (continued)." Russian Journal of Nondestructive Testing 52, no. 7 (2016): 400–408. http://dx.doi.org/10.1134/s1061830916070032.

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14

Lee, Eung J., and Eric C. Klang. "Stress Distribution in an Edge-Stiffened Semi-infinite Elastic Plate Containing a Circular Hole." Journal of Applied Mechanics 59, no. 4 (1992): 789–95. http://dx.doi.org/10.1115/1.2894044.

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An edge-stiffened semi-infinite elastic plate containing a circular hole under tension at infinity has been studied using a conformal mapping technique. Melan ’s stiffener condition in Cartesian coordinates has been newly formulated as a resultant shear stress condition in bipolar coordinates. The solution is sought in series form, and by truncating the system of equations, it is numerically solved. Pertinent stress distributions are examined to illustrate the roll of the stiffener under the presence of a circular hole near the straight edge. It has been concluded that the stiffener contributes to indirectly suppressing the stress concentration around the hole.

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15

Knospe, C. R., and L. S. Stephens. "Side-Pull and Stiffness of Magnetic Bearing Radial Flux Return Paths." Journal of Tribology 118, no. 1 (1996): 98–101. http://dx.doi.org/10.1115/1.2837098.

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Certain magnetic bearing designs, both radial and axial, contain a cylindrical radial flux return path. The magnetic flux in this path produces a radial negative stiffness and, if the journal is displaced, a side-pull force. In this paper, closed-form solutions are found for both of these properties by determining the magnetomotive force in the eccentric gap. This is achieved by solving the Dirichlet boundary value problem in the eccentric annulus. A conformal transformation to bipolar coordinates is utilized which results in a much simpler boundary value problem than if the physical coordinates are used. An example problem is presented which indicates the significance of these two properties.

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16

Rosaboev, A. T., and S. P. Shaimova. "Theoretical studies of sorting rice seeds in the electric field." E3S Web of Conferences 216 (2020): 01144. http://dx.doi.org/10.1051/e3sconf/202021601144.

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The article provides information about the device, the principle of operation of the developed dielectric device for sorting rice seeds, the results of determining the design parameters of bipolar electrodes and theoretical studies to substantiate the angle of separation of rice seeds from the surface of the working body and the magnitude of the applied voltage to bipolar electrodes, as well as the coordinates of the axis of the separation plane of the receiving hopper. The results of theoretical studies revealed that with a working body diameter of 350 mm and a frequency of its rotation of 50 min-1 for sorting rice seeds on a dielectric device, it is enough to apply a voltage of about 1500 V to the multipolar electrodes. At the same time, for a clear separation of rice seeds torn off from the working surface into the sowing and technical fraction, the coordinates of the axis of the dividing plane of the receiving hopper should be set from the axis of rotation of the working body at a distance: horizontally 165 mm and vertically 300 mm, with its height 150 mm.

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17

Alexanyan, R., A. Sedrakyan, and L. Harutunyan. "PLATE PROBLEMS FOR A CIRCULAR SEGMENT AND A HALF-PLANE WITH A SEGMENTAL NOTCH WITH MIXED BOUNDARY CONDITIONS." Sciences of Europe, no. 154 (December 15, 2024): 30–34. https://doi.org/10.5281/zenodo.14496585.

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The plane problem, for the circular segment and the half-plane with the segment recess, where at the boundary of the circular portion of the segment are given stresses, wile on the other part of the contour given normal stresses and tangential displacements are considered. The problems are considered in bipolar system of coordinate using Fourier integrals and solutions are given in self contained.

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18

Zhilichev, Y. "Calculation of Magnetic Field of Tubular Permanent-Magnet Assemblies in Cylindrical Bipolar Coordinates." IEEE Transactions on Magnetics 43, no. 7 (2007): 3189–96. http://dx.doi.org/10.1109/tmag.2007.894636.

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19

Olaru, Adrian, Serban Olaru, and Niculae Mihai. "Increase the Space Trajectory Precision by Using the Proper Assisted Research Method for Inverse Kinematics Problem." Applied Mechanics and Materials 789-790 (September 2015): 711–16. http://dx.doi.org/10.4028/www.scientific.net/amm.789-790.711.

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Inverse kinematics model of the industrial robot is used in the control of the end-effecter trajectory. The solution of the inverse kinematics problem is very difficult to find, when the degree of freedom increase and in many cases this is impossible. In these cases is used the numerical approximation or other method with diffuse logic. The paper showed one new method for optimization of the inverse cinematic solution by applying the proper assisted Iterative Pseudo Inverse Jacobian Matrix Method coupled with proper Sigmoid Bipolar Hyperbolic Tangent Neural Network with Time Delay and Recurrent Links Method (IPIJMM-SBHTNN-TDRLM). In the paper was shown one case study to obtain one space circle curve by using one arm type robot and the proposed method. The errors of the space coordinates of the circle, after applying the proposed method, was less than 0.001. The study has contained the determining the internal coordinates corresponding to the external coordinates of the circle space curve, by solving the inverse kinematics with the proposed method and after that, by applying the forward kinematics to this coordinates, were obtained the external coordinates, what were compared with the theoretical one. The presented method is general and it can be used in all other robots types and for all other conventional and unconventional space curves.

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20

Liu, Li Li, Wei Dong Hao, Shu Ren Yang, Li Hui Wang, and Di Xu. "Velocity Profile of Viscous-Elastic Fluid in Eccentric Annulus with the Internal Rod Moving Axially." Advanced Materials Research 884-885 (January 2014): 382–85. http://dx.doi.org/10.4028/www.scientific.net/amr.884-885.382.

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Using lower-convected Maxwell constitutive model, the control equation of the steady flow of viscous-elastic fluid in the eccentric annulus with inner rod moving axially in the bipolar coordinates system is established, and discreted by control-volume method, the velocity profile is solved by ADI methods, which lays theory basis for further analyzing the stress field and the reason of pumping rod eccentric wear. The result shows: eccentric ratio is the most important factor to the velocity profile.

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21

García, Patricia, Virginia Tajadura, Ignacio García, and Yolanda Sánchez. "Rgf1p Is a Specific Rho1-GEF That Coordinates Cell Polarization with Cell Wall Biogenesis in Fission Yeast." Molecular Biology of the Cell 17, no. 4 (2006): 1620–31. http://dx.doi.org/10.1091/mbc.e05-10-0933.

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Rho1p regulates cell integrity by controlling the actin cytoskeleton and cell wall synthesis. We have identified a new GEF, designated Rgf1p, which specifically regulates Rho1p during polarized growth. The phenotype of rgf1 null cells was very similar to that seen after depletion of Rho1p, 30% of cells being lysed. In addition, rgf1+ deletion caused hypersensitivity to the antifungal drug Caspofungin and defects in the establishment of bipolar growth. rho1+, but none of the other GTPases of the Rho-family, suppressed the rgf1Δ phenotypes. Moreover, deletion of rgf1+ suppressed the severe growth defect in rga1+ null mutants (a Rho1-GAP, negative regulator). Rgf1p and Rho1p coimmunoprecipitated and overexpression of rgf1+ specifically increased the GTP-bound Rho1p; it caused changes in cell morphology, and a large increase in β(1,3)-glucan synthase activity. These effects were similar to those elicited when the hyperactive rho1-G15V allele was expressed. A genetic relationship was observed between Rgf1p, Bgs4p (β[1,3]-glucan synthase), and Pck1p (protein kinase C [PKC] homologue); Bgs4p and Pck1p suppressed the hypersensitivity to Caspofungin in rgf1Δ mutants. Rgf1p localized to the growing ends and the septum, where Rho1, Pck1p, and Bgs4p are known to function. Our results suggest that Rgf1p probably activates the Rho functions necessary for coordinating actin deposition with cell wall biosynthesis during bipolar growth, allowing the cells to remodel their wall without risk of rupture.

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22

Tyvand, Peder A., and Touvia Miloh. "Free-surface flow due to impulsive motion of a submerged circular cylinder." Journal of Fluid Mechanics 286 (March 10, 1995): 67–101. http://dx.doi.org/10.1017/s0022112095000656.

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The impulsively starting motion of a circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The series expansion is taken as far as necessary to include the leading gravitational effects for two cases: constant velocity and constant acceleration, both commencing from rest. The hydrodynamic force on the cylinder and the surface elevation are calculated and expressed in terms of bipolar coordinates. Comparisons are also made with earlier theoretical and experimental work. The theory is valid for arbitrary value of submergence depth to cylinder radius.

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23

Kolaei, Amir, Subhash Rakheja, and Marc J. Richard. "An efficient methodology for simulating roll dynamics of a tank vehicle coupled with transient fluid slosh." Journal of Vibration and Control 23, no. 19 (2016): 3216–32. http://dx.doi.org/10.1177/1077546315627565.

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An efficient methodology is proposed for simulation of roll dynamics of a tank vehicle system coupled with transient hydrodynamic forces due to fluid slosh. The transient fluid slosh in a horizontal cylindrical tank is analytically modeled considering simultaneous lateral, vertical and roll excitations assuming potential flows and a linearized free-surface boundary condition. For this purpose, the fluid domain in the Cartesian coordinate system is transformed to the bipolar coordinates, where the Laplace equation could be solved using separation of variables. The resulting hydrodynamic pressure, free-surface elevation and slosh force and roll moment are formulated in the tank-fixed coordinate system. The transient fluid slosh model is subsequently integrated to a dynamic roll plane model of a tank vehicle combination to investigate the effect of transient liquid slosh on the roll stability of the vehicle during steady-turning as well as path-change maneuvers. The analyses are performed for different fluid fill heights considering both variable and constant cargo load conditions. The results suggest that the roll stability of tank vehicles can be efficiently analyzed using the coupled linear slosh and multi-body vehicle models with significantly lower computational effort than the methods employing computational fluid dynamic fluid slosh models.

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24

Yu, Pengfei, та Yin Xiao. "Non-Doped Deep-Blue OLEDs Based on Carbazole-π-Imidazole Derivatives". Materials 14, № 9 (2021): 2349. http://dx.doi.org/10.3390/ma14092349.

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In this work, we designed and synthesized four bipolar blue-emitting materials with carbazole, imidazole, and biphenyl as donor, acceptor, and p bridge, respectively. The twisted phenylimidazole acceptor leads to a wider band-gap and hence deeper blue emission than the conjugated phenanthrimidazole acceptor. For the substituents on the carbazole donor, the t-butyl group could prevent the intramolecular charge transfer (ICT) process more effectively than the methoxy group. A non-doped deep-blue organic light-emitting diodes (OLED) is obtained with CIE coordinates of (0.159, 0.080), a maximum luminance of 11,364 cd/m2, and a maximum EQE of 4.43%.

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25

Sablowski, Jakob, Ziwen Zhao, and Christian Kupsch. "Ultrasonic Guided Waves for Liquid Water Localization in Fuel Cells: An Ex Situ Proof of Principle." Sensors 22, no. 21 (2022): 8296. http://dx.doi.org/10.3390/s22218296.

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Water management is a key issue in the design and operation of proton exchange membrane fuel cells (PEMFCs). For an efficient and stable operation, the accumulation of liquid water inside the flow channels has to be prevented. Existing measurement methods for localizing water are limited in terms of the integration and application of measurements in operating PEMFC stacks. In this study, we present a measurement method for the localization of liquid water based on ultrasonic guided waves. Using a sparse sensing array of four piezoelectric wafer active sensors (PWAS), the measurement requires only minor changes in the PEMFC cell design. The measurement method is demonstrated with ex situ measurements for water drop localization on a single bipolar plate. The wave propagation of the guided waves and their interaction with water drops on different positions of the bipolar plate are investigated. The complex geometry of the bipolar plate leads to complex guided wave responses. Thus, physical modeling of the wave propagation and tomographic methods are not suitable for the localization of the water drops. Using machine learning methods, it is demonstrated that the position of a water drop can be obtained from the guided wave responses despite the complex geometry of the bipolar plate. Our results show standard deviations of 4.2 mm and 3.3 mm in the x and y coordinates, respectively. The measurement method shows high potential for in situ measurements in PEMFC stacks as well as for other applications that require deposit localization on geometrically complex waveguides.

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26

Kralchevsky, P. A., V. N. Paunov, and Kuniaki Nagayama. "Lateral capillary interaction between particles protruding from a spherical liquid layer." Journal of Fluid Mechanics 299 (September 25, 1995): 105–32. http://dx.doi.org/10.1017/s0022112095003442.

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The lateral capillary interaction between two particles immersed in a spherical thin liquid film is investigated. The interfacial shape, the lateral capillary force and the interparticle energy are calculated by using the numerical solution of the linearized Laplace equation of capillarity. Orthogonal bipolar coordinates on a sphere (inducing biconical coordinates in space) are introduced as a helpful instrument for solving this problem and other problems of similar geometry. We consider two types of boundary conditions at the particle surfaces: fixed contact angle and fixed contact line. We established that for particles of fixed contact angle the capillary interaction energy depends monotonically on the interparticle distance whereas for particles of fixed contact line the interaction energy exhibits a maximum. The numerical results show that in both cases the capillary interaction is much larger than the thermal energy kT and can induce aggregation and ordering of submicrometre particles. These theoretical findings can be important for understanding the properties of Pickering emulsions (stabilized by particles) and liposomes or biomembranes containing incorporated membrane proteins.

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27

Sarig, I., Y. Starosvetsky, and A. D. Gat. "Interaction forces between microfluidic droplets in a Hele-Shaw cell." Journal of Fluid Mechanics 800 (July 1, 2016): 264–77. http://dx.doi.org/10.1017/jfm.2016.403.

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Various microfluidic systems, such as chemical and biological lab-on-a-chip devices, involve motion of multiple droplets within an immersing fluid in shallow microchannels. Modelling the dynamics of such systems requires calculation of the forces of interaction between the moving droplets. These forces are commonly approximated by superposition of dipole solutions, which requires an assumption of sufficiently large distance between the droplets. In this work we obtain exact solutions (in the Hele-Shaw limit) for two moving droplets, and a droplet within a droplet, located within a moving immersing fluid, without limitation on the distance between the droplets. This is achieved by solution of the pressure field in a bipolar coordinate system and calculation of the force in Cartesian coordinates. Our results are compared with numerical computations, experimental data and the existing dipole-based models. We utilize the results to calculate the dynamics of a droplet within a droplet, and of two close droplets, located within an immersing fluid with oscillating speed. Overall, the obtained results establish the solid base for the rather important future extensions for modelling the complex, long-range interdroplet interactions in the limit of dense droplet media.

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28

Hochegger, Helfrid, Nadia Hégarat, and Jose B. Pereira-Leal. "Aurora at the pole and equator: overlapping functions of Aurora kinases in the mitotic spindle." Open Biology 3, no. 3 (2013): 120185. http://dx.doi.org/10.1098/rsob.120185.

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The correct assembly and timely disassembly of the mitotic spindle is crucial for the propagation of the genome during cell division. Aurora kinases play a central role in orchestrating bipolar spindle establishment, chromosome alignment and segregation. In most eukaryotes, ranging from amoebas to humans, Aurora activity appears to be required both at the spindle pole and the kinetochore, and these activities are often split between two different Aurora paralogues, termed Aurora A and B. Polar and equatorial functions of Aurora kinases have generally been considered separately, with Aurora A being mostly involved in centrosome dynamics, whereas Aurora B coordinates kinetochore attachment and cytokinesis. However, double inactivation of both Aurora A and B results in a dramatic synergy that abolishes chromosome segregation. This suggests that these two activities jointly coordinate mitotic progression. Accordingly, recent evidence suggests that Aurora A and B work together in both spindle assembly in metaphase and disassembly in anaphase. Here, we provide an outlook on these shared functions of the Auroras, discuss the evolution of this family of mitotic kinases and speculate why Aurora kinase activity may be required at both ends of the spindle microtubules.

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29

Nan, Xia, Wenling Li, and Lin Wang. "Functional magnetic resonance imaging studies in bipolar disorder in resting state: A coordinates-based meta-analysis." Psychiatry Research: Neuroimaging 344 (October 2024): 111869. http://dx.doi.org/10.1016/j.pscychresns.2024.111869.

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30

Akyildiz, F. Talay, Abeer F. A. AlSohaim, and Nurhan Kaplan. "Electro-osmotic and Pressure-Driven Flow in an Eccentric Microannulus." Zeitschrift für Naturforschung A 74, no. 6 (2019): 513–21. http://dx.doi.org/10.1515/zna-2018-0483.

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AbstractConsideration is given to steady, fully developed mixed electro-osmotic/pressure-driven flow of Newtonian fluid in an eccentric microannulus. The governing Poisson–Boltzmann and momentum equations are solved numerically in bipolar coordinates. It is shown that for a fixed aspect ratio, fully eccentric channels sustain the maximum average viscosity (i.e. flow rate) under the same dimensionless pressure gradient and electro kinetic radius. For the Debye–Hückel approximation (linearised Poisson–Boltzmann equation), we show that closed-form analytical solution can be derived for velocity field. Finally, the effect of the electrokinetic radius, pressure gradient, and eccentricity on the flow field was investigated in detail.

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31

Yang, Wenming. "Magnetic levitation force exerted on the cylindrical magnet in a ferrofluid damper." Journal of Vibration and Control 23, no. 14 (2015): 2345–54. http://dx.doi.org/10.1177/1077546315616516.

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The levitation phenomenon of permanent magnets immersed in ferrofluid is the foundation of ferrofluid dampers. According to the model built using bipolar coordinates, the analytical equation describing the force exerted on the cylindrical magnets in ferrofluid dampers is obtained, which is different from that of the previous results. The analysis of the equation indicates that the magnetic levitation force increases with the eccentricity of the magnet, the radius of the magnet and the permeability of ferrofluid, respectively, when other factors are definite. As a result, we can increase the permeability of ferrofluid and decrease the radius ratio of the magnet and the tube to enhance the levitation stability.

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32

Boulé, Marc. "DC power transported by two infinite parallel wires." American Journal of Physics 92, no. 1 (2024): 14–22. http://dx.doi.org/10.1119/5.0121399.

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This paper presents the calculation of the electrical power transported by the electromagnetic fields of two parallel wires carrying opposite DC currents. The Poynting vector is developed in bipolar coordinates and symbolically integrated over different surfaces. For perfectly conducting wires, the purely longitudinal power in the space surrounding the wires is shown to be equal to that which is produced by the battery (and consumed by the load resistor). For resistive wires, the longitudinal power transported by the fields is shown to diminish according to the distance traveled, and the loss is proved to be equal to the power entering the wires via the fields at their surfaces.

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33

Legkostup, V. V., and V. E. Markevich. "Methodology of determining of the transfer function of engagement kinematics of accelerations of an aircraft and its elliptic coordinates used for thr guidance based on time difference of arrival." «System analysis and applied information science», no. 1 (April 26, 2021): 12–20. http://dx.doi.org/10.21122/2309-4923-2021-1-12-20.

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This paper discusses the problem of determining a kinematics (in terms of transfer function, as far as possible) of parameters of the motion of an aircraft expressed in the curvilinear coordinate system and control accelerations expressed in a rectangular coordinate system. Examples of curvilinear coordinate systems using in practice can be polar, biangular, two-center bipolar, elliptic, parabolic cylindrical, spherical, ellipsoidal, coordinate systems. A technique for obtaining a kinematic link for the control problem of an unmanned aerial vehicle in the elliptic coordinate system was described. It allowed to obtain simpler view of the kinematic link which could provide navigation an aircraft along the hyperbola deriving from the time difference of arrival navigation system. It can. As a result, it is possible to reduce the number of the navigation radio beacons.

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34

Savenko, O. A., and P. V. Lebedev-Stepanov. "Quasi-Stationary Evaporation of a Small Liquid Droplet on a Flat Substrate: Analytical Solution in Bipolar Coordinates." Colloid Journal 84, no. 3 (2022): 312–20. http://dx.doi.org/10.1134/s1061933x22030115.

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35

Chen, Jeng-Tzong, Shing-Kai Kao, and Jia-Wei Lee. "Analytical derivation and numerical experiment of degenerate scale by using the degenerate kernel of the bipolar coordinates." Engineering Analysis with Boundary Elements 85 (December 2017): 70–86. http://dx.doi.org/10.1016/j.enganabound.2017.08.006.

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36

Stana, Remus, and Grant Lythe. "Diffusion in a disk with inclusion: Evaluating Green’s functions." PLOS ONE 17, no. 4 (2022): e0265935. http://dx.doi.org/10.1371/journal.pone.0265935.

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We give exact Green’s functions in two space dimensions. We work in a scaled domain that is a circle of unit radius with a smaller circular “inclusion”, of radius a, removed, without restriction on the size or position of the inclusion. We consider the two cases where one of the two boundaries is absorbing and the other is reflecting. Given a particle with diffusivity D, in a circle with radius R, the mean time to reach the absorbing boundary is a function of the initial condition, given by the integral of Green’s function over the domain. We scale to a circle of unit radius, then transform to bipolar coordinates. We show the equivalence of two different series expansions, and obtain closed expressions that are not series expansions.

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37

GREEN, M. R., and D. G. CRIGHTON. "Instability properties of interacting jets." Journal of Fluid Mechanics 350 (November 10, 1997): 331–49. http://dx.doi.org/10.1017/s0022112097007143.

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Two parallel circular jets, in inviscid incompressible flow, with uniform axial velocity of the same magnitude and direction are placed near to one another, resulting in a strongly coupled field. A given (small) wavenumber in the axial direction is taken and a dispersion relation is found relating the frequency and wavenumber for a given disturbance mode, along with the velocity potentials within and exterior to the jets. The problem is tackled analytically using bipolar coordinates and asymptotic forms for the dispersion relation are found in the small-separation and large-separation limits. Results are then compared with the corresponding two-dimensional problem for plane jets. It is concluded that close-proximity interactions greatly destabilize the varicose mode of the coupled jet, and greatly stabilize the sinuous mode.

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Proskura, Alexei V., Alexander B. Freidin, Anna L. Kolesnikova, Nikita F. Morozov, and Alexei E. Romanov. "Plane elasticity solution for a half-space weakened by a circular hole and loaded by a concentrated force." Journal of the Mechanical Behavior of Materials 22, no. 1-2 (2013): 11–25. http://dx.doi.org/10.1515/jmbm-2013-0008.

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AbstractWe present a complete analytical solution for the plane elasticity problem of a concentrated force acting on a half-space weakened by a circular hole. The solution is based on the algorithm proposed by G.B. Jeffery in 1920 for elasticity problems, using bipolar coordinates to characterize the geometry. We found the biharmonic stress function describing stresses and strains in the half-space and the associated biharmonic function that allows determining the displacement field. Both functions are given in the form of Fourier series with quite compact coefficients. Particular attention is paid to the displacements at the plane boundary of the half-space. It is discussed how these displacements can be used in an inverse procedure for the identification of a circular hole diameter and position.

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39

Guo, Pengxu, and Yueting Zhou. "Exact analysis of the orientation-adjusted adhesive full stick contact of layered structures with the asymmetric bipolar coordinates." Applied Mathematics and Mechanics 43, no. 6 (2022): 883–98. http://dx.doi.org/10.1007/s10483-022-2860-9.

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40

Kazakova, A. O. "Application of bipolar coordinates to the analysis of the structure of viscous fluid flow between two rotating cylinders." Journal of Physics: Conference Series 1679 (November 2020): 022068. http://dx.doi.org/10.1088/1742-6596/1679/2/022068.

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41

Chen, J. T., H. C. Shieh, Y. T. Lee, and J. W. Lee. "Bipolar coordinates, image method and the method of fundamental solutions for Green’s functions of Laplace problems containing circular boundaries." Engineering Analysis with Boundary Elements 35, no. 2 (2011): 236–43. http://dx.doi.org/10.1016/j.enganabound.2010.08.008.

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42

Feng, Huicheng, and Teck Neng Wong. "Electrophoresis of a Cylinder in a Cylindrical Tube." Communications in Computational Physics 22, no. 4 (2017): 1101–22. http://dx.doi.org/10.4208/cicp.oa-2017-0011.

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AbstractElectrophoresis of a cylinder suspended in a cylindrical tube is analytically studied in the limit of thin electric double layer approximation. The electric and fluid flow fields within the annulus, and the cylinder velocities are analytically obtained in bipolar coordinates. The results are analyzed with various values of dimensionless parameters: eccentricity, cylinder-to-tube radius ratio and tube-to-cylinder zeta potential ratio (i.e., tube-to-cylinder velocity scale ratio). The analysis shows that microvortices are generated within the annulus. By changing the parameters, different flow patterns can be created, which shows potential for mixing enhancement in micro/nanofluidics. Moreover, the cylinder not only translates but also rotates when the cylinder and tube are eccentric. The cylinder rotation might be utilized as a micromotor or an electric field detector. The cylinder trajectories show that the cylinder may approach the tube wall or rest within the tube depending on the zeta potential ratio.

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43

Rylko, Natalia. "A PAIR OF PERFECTLY CONDUCTING DISKS IN AN EXTERNAL FIELD." Mathematical Modelling and Analysis 20, no. 2 (2015): 273–88. http://dx.doi.org/10.3846/13926292.2015.1022236.

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A pair of non-overlapping perfectly conducting equal disks embedded in a two-dimensional background was investigated by the classic method of images, by Poincar´e series, by use of the bipolar coordinates and by the elliptic functions in the previous works. In particular, successive application of the inversions with respect to circles were applied to obtain the field in the form of a series. For closely placed disks, the previous methods yield slowly convergent series. In this paper, we study the local fields around closely placed disks by the elliptic functions. The problem of small gap is completely investigated since the obtained closed form solution admits a precise asymptotic investigation in terms of the trigonometric functions when the gap between the disks tends to zero. The exact and asymptotic formulae are extended to the case when a prescribed singularity is located in the gap. This extends applications of structural approximations to estimations of the local fields in densely packed fiber composites in various external fields.

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Hannay, J. H., and M. R. Jeffrey. "The electric field of synchrotron radiation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2063 (2005): 3599–610. http://dx.doi.org/10.1098/rspa.2005.1533.

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A point charge moving uniformly around a circle produces an electric field pattern which co-rotates with it, constituting, for relativistic motion, synchrotron radiation. Surprisingly perhaps, the wealth of knowledge on synchrotron radiation does not seem to include explicit knowledge of the field itself, and of the consequent field lines. As with any relativistic motion, there is an obstruction to writing an explicit formula for the field; evaluation of the retarded time requires solving an implicit equation. However, as the relativistic limit is approached the field grows very strong in a very confined ribbon region shaped like a spiral watch spring. Here, the field can be written as an explicit scaling, or universal similarity, formula, which is our main result. From it the field lines can be derived analytically. In terms of scaled coordinates along the directions of the length, width and thickness of the ribbon, they twist in two side-by-side bundles in ‘bipolar’ cylinder surfaces, mirror symmetric about the orbit plane.

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45

Park, Sunwoo, Hyukmin Kwon, Sangwook Park, et al. "New Bipolar Host Materials Based on Indolocarbazole for Red Phosphorescent OLEDs." Materials 17, no. 17 (2024): 4347. http://dx.doi.org/10.3390/ma17174347.

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We designed and synthesized new indolocarbazole-triazine derivatives, 9-di-tert-butyl-5,7-bis(4-(4,6-diphenyl-1,3,5-triazin-2-yl)phenyl)-5,7-dihydroindolo[2,3-b]carbazole (2TRZ-P-ICz) and 3,9-di-tert-butyl-5,7-bis(5′-(4,6-diphenyl-1,3,5-triazin-2-yl)-[1,1′:3′,1″-terphenyl]-2′-yl)-5,7-dihydroindolo[2,3-b]carbazole (2TRZ-TP-ICz), as new bipolar host materials for red phosphorescent OLEDs. In the film state, 2TRZ-P-ICz and 2TRZ-TP-ICz exhibited photoluminescence maxima at 480 nm and 488 nm, respectively. The dipole moment characteristics of the new compounds under various solvent conditions were investigated using the Lippert–Mataga equation. The results showed that the dipole moment of 2TRZ-P-ICz is 26.9D, while that of 2TRZ-TP-ICz is 21.3D. The delayed fluorescence lifetimes were 0.188 μs for 2TRZ-P-ICz and 2.080 μs for 2TRZ-TP-ICz, with 2TRZ-TP-ICz showing TADF characteristics. Additionally, 2TRZ-TP-ICz was found to have a ΔEST of less than 0.2 eV. The triplet energy levels of the newly synthesized bipolar host materials were found to be 2.72 and 2.75 eV, confirming their suitability for use in red phosphorescent OLEDs. To investigate the carrier mobility of the synthesized materials, hole-only devices and electron-only devices were fabricated and tested. The hole mobility value at 1V was found to be 3.43 × 10−3 cm2/Vs for 2TRZ-P-ICz and 2.16 × 10−3 cm2/Vs for 2TRZ-TP-ICz. For electron mobility at 1V, 2TRZ-P-ICz showed a value of 4.41 × 10−9 cm2/Vs, while 2TRZ-TP-ICz exhibited a value of 9.13 × 10−9 cm2/Vs. As a result, when the new material was used as a host in red phosphorescent OLEDs, 2TRZ-TP-ICz achieved a current efficiency of 9.92 cd/A, an external quantum efficiency of 13.7%, CIE coordinates of (0.679, 0.319), and an electroluminescence maximum wavelength of 626 nm.

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46

Dakulovic, Sandra, and Slobodan Markovic. "Judgement of abstract paintings." Psihologija 39, no. 1 (2006): 21–38. http://dx.doi.org/10.2298/psi0601021d.

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In two experiments the judgement of twenty one abstract paintings was investigated. In Experiment 1, subjects were asked to make similarity judgements of 210 pairs of paintings on a 7 step bipolar scale (similar-dissimilar). The Multi-dimensional scaling (MDS) method was used for data analysis. The distribution of paintings within MDS 2-D space suggested two grouping criteria: colorfullness (e.g. from Klee to Kline) and geometrization (e.g. from Vasarely to Kandinsky). In Experiment 2, subjects were asked to judge the same paintings on three factors of the instrument SDF 9 (Markovic et al., 2002b): Evaluation, Arousal and Regularity. The purpose of this experiment was to specify the subjective criteria on which the (dis)similarity judgements were based. In the regression analysis the three factors of SDF 9 were defined as predictors, whereas the x and y coordinates of MDS 2-D space were defined as dependent variables. The results have shown that the dimension x was reducible to the Evaluation factor, and dimension y is reducible to the Regularity factor.

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47

Yahiaoui, Abdellaziz, Mahfoud Djezzar, and Hassane Naji. "Numerical computation of natural convection inside a curved-shape nanofluid-filled enclosure with nonuniform heating of the bottom wall." International Journal of Modern Physics C 30, no. 01 (2019): 1950006. http://dx.doi.org/10.1142/s0129183119500062.

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This paper performs a numerical analysis of the natural convection within two-dimensional enclosures (square enclosure and enclosures with curved walls) full of a H2O-Cu nanofluid. While their vertical walls are isothermal with a cold temperature [Formula: see text], the horizontal top wall is adiabatic and the bottom wall is kept at a sinusoidal hot temperature. The working fluid is assumed to be Newtonian and incompressible. Three values of the Rayleigh number were considered, viz., 103, 104, 105, the Prandtl number is fixed at 6.2, and the volume fraction [Formula: see text] is taken equal to 0% (pure water), 10% and 20%. The numerical simulation is achieved using a 2D-in-house CFD code based on the governing equations formulated in bipolar coordinates and translated algebraically via the finite volume method. Numerical results are presented in terms of streamlines, isotherms and local and average Nusselt numbers. These show that the heat transfer rate increases with both the volume fraction and the Rayleigh number, and that the average number of Nusselt characterizing the heat transfer raises with the nanoparticles volume fraction.

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Razouls, Suzanne, Claude Razouls, and Francis De Bovée. "Biodiversity and biogeography of Antarctic copepods." Antarctic Science 12, no. 3 (2000): 343–62. http://dx.doi.org/10.1017/s0954102000000407.

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A census of pelagic copepods identifies 346 species from 38 families (i.e. 16.7% of all copepods). Among them, 289 species are considered “cosmopolitan” and 57 “endemic”. Most of the species were described in the late 19th or early 20th century. However, due to a resurgence of interest in biological diversity, a large number of exhaustive revisions at various taxonomic levels have recently been initiated. One hundred and thirteen documents covering the census and distribution of copepod species are analysed. The distribution of species in the South Seas is given for 24 sectors chosen in relation to the geographical coordinates of the South Atlantic, South Pacific and Southern Indian oceans and their location with respect to the Antarctic Convergence or the continental shelf. The respective roles of Lagrangian displacement, of the hydrological features characterising the Southern Ocean and of the general ocean currents are emphasised to explain the scattered distributions of the species. Twenty-one species are catalogued as bipolar, 46 species as specifically sub-Antarctic and 222 cosmopolitan ones are probably from sub-tropical/temperate regions.

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Li, Ping, Hui Jin, and Hong-Guo Yu. "Condensin suppresses recombination and regulates double-strand break processing at the repetitive ribosomal DNA array to ensure proper chromosome segregation during meiosis in budding yeast." Molecular Biology of the Cell 25, no. 19 (2014): 2934–47. http://dx.doi.org/10.1091/mbc.e14-05-0957.

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During meiosis, homologues are linked by crossover, which is required for bipolar chromosome orientation before chromosome segregation at anaphase I. The repetitive ribosomal DNA (rDNA) array, however, undergoes little or no meiotic recombination. Hyperrecombination can cause chromosome missegregation and rDNA copy number instability. We report here that condensin, a conserved protein complex required for chromosome organization, regulates double-strand break (DSB) formation and repair at the rDNA gene cluster during meiosis in budding yeast. Condensin is highly enriched at the rDNA region during prophase I, released at the prophase I/metaphase I transition, and reassociates with rDNA before anaphase I onset. We show that condensin plays a dual role in maintaining rDNA stability: it suppresses the formation of Spo11-mediated rDNA breaks, and it promotes DSB processing to ensure proper chromosome segregation. Condensin is unnecessary for the export of rDNA breaks outside the nucleolus but required for timely repair of meiotic DSBs. Our work reveals that condensin coordinates meiotic recombination with chromosome segregation at the repetitive rDNA sequence, thereby maintaining genome integrity.

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50

Stephens, L. S., and M. A. Casemore. "Negative Stiffness Coefficients for Magnetic Actuators Using Laplace’s Equation." Journal of Engineering for Gas Turbines and Power 123, no. 3 (2000): 612–18. http://dx.doi.org/10.1115/1.1377874.

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Magnetic bearings offer high speed and low power losses as compared to film riding and rolling element bearings. Significant efforts are underway to apply magnetic bearings to gas turbines and jet aircraft engines. Negative stiffness coefficients for magnetic actuators can have a significant impact on shaft rotordynamics. These coefficients are typically computed as the sensitivity of a magnetic force expression derived from a lumped parameter reluctance network. However, as the complexity of magnetic actuator designs increases, the reluctance network method may become impractical for, or even incapable of, coefficient determination. In this paper, an alternative method is presented for determination of negative stiffness coefficients for a large class of magnetic actuators. The method solves the Dirichlet boundary value problem for the magnetomotive force in the actuator air gap, subject to periodic boundary conditions that can be represented by Fourier series. A conformal transformation to bipolar coordinates is used that results in a boundary value problem that is solvable using separation of variables. Negative stiffness coefficients are presented and the method is benchmarked against well-known solutions using the reluctance network method.

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