Log in

Relevant bibliographies by topics / Toroidal coordinates / Journal articles

To see the other types of publications on this topic, follow the link: Toroidal coordinates.

Journal articles on the topic 'Toroidal coordinates'

Author: Grafiati

Published: 5 June 2025

Last updated: 15 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Toroidal coordinates.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Nesnov, Dmitry V. "Field theory in normal toroidal coordinates." MATEC Web of Conferences 193 (2018): 03022. http://dx.doi.org/10.1051/matecconf/201819303022.

Full text

Abstract:

Field theory is widely represented in spherical and cylindrical coordinate systems, since the mathematical apparatus of these coordinate systems has been thoroughly studied. Sources of field with more complex structures require new approaches to their study. The purpose of this research is to adapt the field theory referred to curvilinear coordinates and represent it in normal toroidal coordinates. Another purpose is to develop the foundations of geometric modeling with the use of computer graphics for visualizing the level surfaces. The dependence of normal toroidal coordinates on rectangular

APA, Harvard, Vancouver, ISO, and other styles

2

Guslienko, K. Y., and E. V. Tartakovskaya. "Hopf index of the toroidal magnetic hopfions in cylindrical and spherical dots." Low Temperature Physics 51, no. 6 (2025): 695–99. https://doi.org/10.1063/10.0036746.

Full text

Abstract:

Topologically non-trivial 3D magnetization textures in the restricted curvilinear geometries are considered. 3D topological charges (the Hopf indices) are calculated for a particular case of 3D topological magnetic solitons, the toroidal hopfions in cylindrical and spherical ferromagnetic dots. The calculation method is based on the theory of toroidal hopfions developed within the classical field theory for infinite media. We exploited the property of the toroidal hopfions that the Hopf index density in any curvilinear coordinate system can be expressed as a Jacobian of the transformation from

APA, Harvard, Vancouver, ISO, and other styles

3

LIU, YAN JANE, and GEORGE R. BUCHANAN. "FREE VIBRATION OF TRANSVERSELY ISOTROPIC SOLID AND THICK-WALLED TOROIDAL SHELLS." International Journal of Structural Stability and Dynamics 06, no. 03 (2006): 359–75. http://dx.doi.org/10.1142/s0219455406002027.

Full text

Abstract:

The frequency of vibration of thick-walled toroidal shells is studied using a finite element formulation wherein the finite element is derived directly in toroidal coordinates. Hexagonal crystals of thallium and cadmium are used as representative transversely isotropic materials. The shell is assumed to be transversely isotropic with respect to the toroidal radial direction, and results based on that assumption are contrasted to a shell that is transversely isotropic with respect to the circumferential toroidal coordinate. It is established that an analysis based on a toroidal coordinate syste

APA, Harvard, Vancouver, ISO, and other styles

4

László, István, André Rassat, P. W. Fowler, and Ante Graovac. "Topological coordinates for toroidal structures." Chemical Physics Letters 342, no. 3-4 (2001): 369–74. http://dx.doi.org/10.1016/s0009-2614(01)00609-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Tsui, K. H. "Toroidal equilibria in spherical coordinates." Physics of Plasmas 15, no. 11 (2008): 112506. http://dx.doi.org/10.1063/1.3006340.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Krisch, J. P., and E. N. Glass. "A space–time in toroidal coordinates." Journal of Mathematical Physics 44, no. 7 (2003): 3046. http://dx.doi.org/10.1063/1.1580999.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

McBain, G. D. "Plane poloidal-toroidal decomposition of doubly periodic vector fields. Part 1. Fields with divergence." ANZIAM Journal 47, no. 1 (2005): 21–38. http://dx.doi.org/10.1017/s1446181100009743.

Full text

Abstract:

AbstractIt is shown how to decompose a three-dimensional field periodic in two Cartesian coordinates into five parts, three of which are identically divergence-free and the other two orthogonal to all divergence-free fields. The three divergence-free parts coincide with the mean, poloidal and toroidal fields of Schmitt and Wahl; the present work, therefore, extends their decomposition from divergence-free fields to fields of arbitrary divergence. For the representation of known and unknown fields, each of the five subspaces is characterised by both a projection and a scalar representation. Use

APA, Harvard, Vancouver, ISO, and other styles

8

Dubovik, V. M., and S. I. Vinitsky. "Toroidal coordinates for a three-body problem." Journal of Physics B: Atomic and Molecular Physics 20, no. 16 (1987): 4065–68. http://dx.doi.org/10.1088/0022-3700/20/16/017.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Anghel, D. V., and A. T. Preda. "Quantized toroidal dipole eigenvalues in nano-systems." Journal of Physics: Conference Series 2090, no. 1 (2021): 012151. http://dx.doi.org/10.1088/1742-6596/2090/1/012151.

Full text

Abstract:

Abstract The parity violation in nuclear reactions led to the discovery of the new class of toroidal multipoles. Since then, it was observed that toroidal multipoles are present in the electromagnetic structure of systems at all scales, from elementary particles, to solid state systems and metamaterials. The toroidal dipole T (the lowest order multipole) is the most common. This corresponds to the toroidal dipole operator T ^ in quantum systems, with the projections T ^ i (i = 1, 2, 3) on the coordinate axes. These operators are observables if they are self-adjoint, but, although it is commonl

APA, Harvard, Vancouver, ISO, and other styles

10

Ambjorn, Jan, Zbigniew Drogosz, Jakub Gizbert-Studnicki, Andrzej Görlich, Jerzy Jurkiewicz, and Dániel Németh. "CDT Quantum Toroidal Spacetimes: An Overview." Universe 7, no. 4 (2021): 79. http://dx.doi.org/10.3390/universe7040079.

Full text

Abstract:

Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way. It has a built-in time foliation but is coordinate-independent in the spatial directions. The higher-order phase transitions observed in the model may be used to define a continuum limit of the lattice theory. Some aspects of the transitions are better studied when the topology of space is toroidal rather than spherical. In addition, a toroidal spatial topology allows us to understand more easily th

APA, Harvard, Vancouver, ISO, and other styles

11

Skovoroda, A. A. "Choice of coordinates on a toroidal magnetic surface." Plasma Physics Reports 34, no. 11 (2008): 887–94. http://dx.doi.org/10.1134/s1063780x08110019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Carreras, B. A., V. E. Lynch, E. F. Jaeger, D. B. Batchelor, and J. S. Tolliver. "Full-wave calculations in flux coordinates for toroidal geometry." Journal of Computational Physics 85, no. 2 (1989): 502. http://dx.doi.org/10.1016/0021-9991(89)90166-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Carreras, B. A., V. E. Lynch, E. F. Jaeger, D. B. Batchelor, and J. S. Tolliver. "Full-wave calculations in flux coordinates for toroidal geometry." Journal of Computational Physics 88, no. 1 (1990): 183–204. http://dx.doi.org/10.1016/0021-9991(90)90247-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Kozlov, V. V., and A. A. Markin. "FINITE DEFORMATIONS OF A TOROIDAL SHELL." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 71 (2021): 106–20. http://dx.doi.org/10.17223/19988621/71/9.

Full text

Abstract:

The stress-strain state of a nonlinear elastic shell exposed to the internal pressure is considered. A surface of the shell is toroidal in shape in the initial state. The Lagrangian coordinates of the shell are assigned to a cylindrical system. The kinematic characteristics of the process are shown: a law of the motion of points, vectors of a material basis, a strain affinor and its polar decomposition, the Cauchy-Green strain measure and tensor, the Finger measure, and the “left” and the“right” Hencky strain tensors. Neglecting the shear components of the stress tensor, a constitutive relatio

APA, Harvard, Vancouver, ISO, and other styles

15

Crisanti, Flavio, Clemente Cesarano, and Artur Ishkhanyan. "The Grad–Shafranov Equation in Cap-Cyclide Coordinates: The Heun Function Solution." Mathematics 11, no. 9 (2023): 2087. http://dx.doi.org/10.3390/math11092087.

Full text

Abstract:

The Grad–Shafranov plasma equilibrium equation was originally solved analytically in toroidal geometry, which fitted the geometric shape of the first Tokamaks. The poloidal surface of the Tokamak has evolved over the years from a circular to a D-shaped ellipse. The natural geometry that describes such a shape is the prolate elliptical one, i.e., the cap-cyclide coordinate system. When written in this geometry, the Grad–Shafranov equation can be solved in terms of the general Heun function. In this paper, we obtain the complete analytical solution of the Grad–Shafranov equation in terms of the

APA, Harvard, Vancouver, ISO, and other styles

16

Arsenin, V. V., and A. A. Skovoroda. "Some problems of axisymmetric toroidal equilibria in orthogonal flux coordinates." Plasma Physics Reports 40, no. 7 (2014): 489–504. http://dx.doi.org/10.1134/s1063780x14070010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Xanthopoulos, P., and F. Jenko. "Clebsch-type coordinates for nonlinear gyrokinetics in generic toroidal configurations." Physics of Plasmas 13, no. 9 (2006): 092301. http://dx.doi.org/10.1063/1.2338818.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Fabrikant, V. I. "Mixed boundary value problem of potential theory in toroidal coordinates." ZAMP Zeitschrift f�r angewandte Mathematik und Physik 42, no. 5 (1991): 680–707. http://dx.doi.org/10.1007/bf00944766.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Ye, Lin, He Ling, Zhengmao Xu, and Jinbo Zhou. "UG secondary development of path generation of straight profile toroidal worm finishing tool." Journal of Physics: Conference Series 2819, no. 1 (2024): 012065. http://dx.doi.org/10.1088/1742-6596/2819/1/012065.

Full text

Abstract:

Abstract Due to the complexity of the right and left tooth surfaces of the straight profile toroidal worm, it is difficult in 3D modeling and NC programming. Based on the equal residual height algorithm, this paper deduces the calculation formula of the cutter contact and cutter point of the tooth surface of the straight profile toroidal worm by using the round nose milling cutter, calculates the cutter point coordinates and rotation angles of each point of the tooth surface of the straight profile toroidal worm through the UG secondary development interface and Visual Studio software, and gen

APA, Harvard, Vancouver, ISO, and other styles

20

Pustovitov, V. D. "New approach to the construction of flux coordinates in toroidal systems." Journal of Experimental and Theoretical Physics Letters 65, no. 5 (1997): 419–22. http://dx.doi.org/10.1134/1.567344.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Fukue, Jun. "Magnetohydrodynamical Winds from an Accretion Disk: Driving by the Magnetic Pressure and Tension of Toroidal Magnetic Fields." Publications of the Astronomical Society of Japan 42, no. 6 (1991): 793–817. https://doi.org/10.1093/pasj/42.6.793.

Full text

Abstract:

Abstract In order to describe the magnetohydrodynamical (MHD) winds/jets from a geometrically thin accretion disk with rotation, MHD equations are written in orthogonal curvilinear coordinates with axes parallel and perpendicular to the streamlines, respectively. In contrast to the current models of MHD winds/jets, only the toroidal magnetic fields are taken into consideration. It is demonstrated using a simple model that steady rotating wind-type MHD jets can be accelerated by the magnetic pressure and tension of toroidal magnetic fields. When the streamlines are diverging, MHD winds are a ce

APA, Harvard, Vancouver, ISO, and other styles

22

Li, Tianyi, Aravinda Kar, and Ranganathan Kumar. "Marangoni circulation by UV light modulation on sessile drop for particle agglomeration." Journal of Fluid Mechanics 873 (June 20, 2019): 72–88. http://dx.doi.org/10.1017/jfm.2019.373.

Full text

Abstract:

An analytical solution of a biharmonic equation is presented in axisymmetric toroidal coordinates for Stokes flow due to surface tension gradient on the free surface of sessile drops. The stream function profiles exhibit clockwise and counter-clockwise toroidal volumes. The ring or dot formed by the downward dividing streamlines between these volumes predicts the experimentally deposited particle ring or dot well. This finding suggests that the downward dividing streamline can be taken to be a reasonable indicator of where deposition occurs. Different light patterns directed at different locat

APA, Harvard, Vancouver, ISO, and other styles

23

Buchwalter, Rebecca A., Sarah C. Ogden, Sara B. York, et al. "Coordination of Zika Virus Infection and Viroplasm Organization by Microtubules and Microtubule-Organizing Centers." Cells 10, no. 12 (2021): 3335. http://dx.doi.org/10.3390/cells10123335.

Full text

Abstract:

Zika virus (ZIKV) became a global health concern in 2016 due to its links to congenital microcephaly and other birth defects. Flaviviruses, including ZIKV, reorganize the endoplasmic reticulum (ER) to form a viroplasm, a compartment where virus particles are assembled. Microtubules (MTs) and microtubule-organizing centers (MTOCs) coordinate structural and trafficking functions in the cell, and MTs also support replication of flaviviruses. Here we investigated the roles of MTs and the cell’s MTOCs on ZIKV viroplasm organization and virus production. We show that a toroidal-shaped viroplasm form

APA, Harvard, Vancouver, ISO, and other styles

24

ALI, HALIMA, ALKESH PUNJABI, and ERNEST NYAKU. "Symplectic calculation of the outboard magnetic footprint from noise and error fields in the DIII-D." Journal of Plasma Physics 77, no. 6 (2011): 785–802. http://dx.doi.org/10.1017/s0022377811000213.

Full text

Abstract:

AbstractThe backward symplectic DIII-D map and continuous symplectic analog of the map for magnetic field line trajectories in the DIII-D [10] (Luxon, J. L. and Davis, L. E. 1985 Fusion Technol.8, 441) in natural canonical coordinates are used to calculate the magnetic footprint on the outboard collector plate of the DIII-D tokamak from the field errors and internal topological noise. The equilibrium generating function for the DIII-D used in the map very accurately represents the magnetic geometry of the DIII-D. The step-size of the map is kept considerably small so that the magnetic perturba

APA, Harvard, Vancouver, ISO, and other styles

25

Guslienko, Konstantin. "Magnetic Hopfions: A Review." Magnetism 4, no. 4 (2024): 383–99. http://dx.doi.org/10.3390/magnetism4040025.

Full text

Abstract:

Recent advances in the research area of 3D magnetic topological solitons (hopfions) in restricted geometries are reviewed. The description of the magnetic solitons is based on a macroscopic micromagnetic approach and the Landau–Lifshitz equation of the magnetization motion. The concepts of the gauge emergent vector potential and emergent magnetic field are widely used to calculate the 3D topological charge (the Hopf index) of magnetic textures. The relation of the magnetic hopfions with classical field theory is demonstrated, and a special role of the curvilinear toroidal coordinates in the de

APA, Harvard, Vancouver, ISO, and other styles

26

RYANG, SHIJONG. "MEMBRANE, FOUR-BRANE AND DUAL COORDINATES IN THE M(ATRIX) THEORY COMPACTIFIED ON TORI." Modern Physics Letters A 13, no. 18 (1998): 1463–71. http://dx.doi.org/10.1142/s0217732398001546.

Full text

Abstract:

In the M(atrix) theory by making the expansions of the matrices around the infinite membrane and four-brane solutions, we derive the three- and five-dimensional gauge theories in the dual space–times. The explicit forms of solutions yield the dual coordinates and each expansion is related to a toroidal compactification of the M(atrix) theory. We also analyze the expansion around the finite membrane. From the derived Lorentz and gauge-invariant actions, the gauge coupling constants are shown to be characterized by the volumes of tori.

APA, Harvard, Vancouver, ISO, and other styles

27

Bierwage, A., R. B. White, and A. Matsuyama. "Testing the conservative character of particle simulations: I. Canonical and noncanonical guiding center model in Boozer coordinates." Physics of Plasmas 29, no. 11 (2022): 113905. http://dx.doi.org/10.1063/5.0100303.

Full text

Abstract:

The guiding center (GC) Lagrangian in Boozer coordinates for toroidally confined plasmas can be cast into canonical form by eliminating terms containing the covariant component [Formula: see text] of the magnetic field vector with respect to the poloidal flux function [Formula: see text]. In an unperturbed plasma, [Formula: see text] can be eliminated via exact coordinate transformations, but, in general, one relies on approximations, assuming that the effect of [Formula: see text] is small. Here, we are interested in the question whether Hamiltonian conservation laws are still satisfied when

APA, Harvard, Vancouver, ISO, and other styles

28

Andrews, Mark. "Alternative separation of Laplace's equation in toroidal coordinates and its application to electrostatics." Journal of Electrostatics 64, no. 10 (2006): 664–72. http://dx.doi.org/10.1016/j.elstat.2005.11.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Velázquez-Arcos, J. M., J. Granados-Samaniego, A. Cid-Reborido, S. Alcántara-Montes, A. Pérez-Ricardez, and C. A. Vargas. "An electromagnetic pulse over a torus, a particularization of Snell´s law." Journal of Physics: Conference Series 2307, no. 1 (2022): 012062. http://dx.doi.org/10.1088/1742-6596/2307/1/012062.

Full text

Abstract:

Abstract We apply a new tool that is the Maxwell-Fredholm equations, to study the collision of an electromagnetic pulse with a flat surface of separation between the two parts of a torus-shaped artefact with a highly anisotropic refractive index that forces it to move over its surface. We find that it is possible to establish a relationship between the different angles involved depending on the parameters of the toroidal coordinates, which we call a particularization of Snell’s law.

APA, Harvard, Vancouver, ISO, and other styles

30

Gokani, Chirag A., Michael R. Haberman, and Mark F. Hamilton. "Effects of increasing orbital number on the field transformation in focused vortex beams." Journal of the Acoustical Society of America 155, no. 3_Supplement (2024): A346. http://dx.doi.org/10.1121/10.0027778.

Full text

Abstract:

Acoustic vortex beams possess helical wavefronts characterized by an orbital number n. In the presence of focusing, the toroidal vortex ring for n = 1 moves out of the focal plane z = d and toward the source with increasing n, accompanied by a departure from its toroidal shape. In this talk, ray theory is developed to explain this field transformation. An expression is derived for the radius and cross-sectional area of the annular channel formed by the family of rays emanating from a thin circular ring centered at the origin in the source plane z = 0. This expression leads to explicit results

APA, Harvard, Vancouver, ISO, and other styles

31

Lundstedt, H., and T. Persson. "Modelling solar cycle length based on Poincaré maps for Lorenz-type equations." Annales Geophysicae 28, no. 4 (2010): 993–1002. http://dx.doi.org/10.5194/angeo-28-993-2010.

Full text

Abstract:

Abstract. Two systems of Lorenz-type equations modelling solar magnetic activity are studied: Firstly a low order dynamic system in which the toroidal and poloidal fields are represented by x- and y-coordinates respectively, and the hydrodynamical information is given by the z coordinate. Secondly a complex generalization of the three ordinary differential equations studied by Lorenz. By studying the Poincaré map we give numerical evidence that the flow has an attractor with fractal structure. The period is defined as the time needed for a point on a hyperplane to return to the hyperplane agai

APA, Harvard, Vancouver, ISO, and other styles

32

Ivers, D. J. "Kinematic dynamos in spheroidal geometries." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2206 (2017): 20170432. http://dx.doi.org/10.1098/rspa.2017.0432.

Full text

Abstract:

The kinematic dynamo problem is solved numerically for a spheroidal conducting fluid of possibly large aspect ratio with an insulating exterior. The solution method uses solenoidal representations of the magnetic field and the velocity by spheroidal toroidal and poloidal fields in a non-orthogonal coordinate system. Scaling of coordinates and fields to a spherical geometry leads to a modified form of the kinematic dynamo problem with a geometric anisotropic diffusion and an anisotropic current-free condition in the exterior, which is solved explicitly. The scaling allows the use of well-develo

APA, Harvard, Vancouver, ISO, and other styles

33

CLAVELLI, L., B. HARMS, and Y. LEBLANC. "DYNAMICAL GENERATION OF THE EFFECTIVE POTENTIAL IN SUPERSTRING THEORY." Modern Physics Letters A 07, no. 12 (1992): 1031–38. http://dx.doi.org/10.1142/s0217732392000926.

Full text

Abstract:

We obtain the effective potential of the type-II superstring with broken supersymmetry due to twisted toroidal compactification of one of the string coordinates. Supersymmetry breaking of this type is shown to yield non-vanishing contact interactions among the massless modes at genus-1 order, thus dynamically providing the theory with a nontrivial effective potential. We argue that, if for a general compactification scheme the sum of this potential and tree level contributions has a minimum(zero total tadpole), this would provide us with a self-consistent criterion for selecting true string va

APA, Harvard, Vancouver, ISO, and other styles

34

Zabarankin, Michael. "Liquid toroidal drop in compressional flow with arbitrary drop-to-ambient fluid viscosity ratio." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2187 (2016): 20150737. http://dx.doi.org/10.1098/rspa.2015.0737.

Full text

Abstract:

Existing experiments show that a sufficiently fat toroidal drop freely suspended in another liquid shrinks towards its centre to form a spherical drop. However, recent simulations reveal that if a liquid torus with circular cross section is embedded in a compressional same-viscosity flow that acts to expand the torus, then depending on the torus radius R and a capillary number Ca characterizing the balance between the viscous forces and the interfacial tension, the torus may either coalesce, expand indefinitely or attain a stationary shape. For each Ca less than 0.2, there is a single value of

APA, Harvard, Vancouver, ISO, and other styles

35

Seki, Masaharu, and Shun-Ichi Himeno. "Computer Method for Abel Inversion for Toroidal Coordinates and Its Application to Plasma Diagnostics." Fusion Technology 31, no. 3 (1997): 333–37. http://dx.doi.org/10.13182/fst97-a30836.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Sharma, Nivedita. "Modeling and analysis of free vibrations in thermoelastic hollow spheres." Multidiscipline Modeling in Materials and Structures 11, no. 2 (2015): 134–59. http://dx.doi.org/10.1108/mmms-05-2014-0033.

Full text

Abstract:

Purpose – The purpose of this paper is to present a model to analyze free vibrations in a transradially isotropic, thermoelastic hollow sphere subjected to stress free, thermally insulated or stress free, isothermal and rigidly fixed, thermally insulated or rigidly fixed, isothermal boundary conditions. Design/methodology/approach – The potential functions along with spherical wave solution have been used to reduce the system of governing partial differential equations to a coupled system of ordinary differential equations in radial coordinates after employing non-dimensional quantities. Matri

APA, Harvard, Vancouver, ISO, and other styles

37

Torres del Castillo, G. F., and K. C. Gutiérrez-Herrera. "Double and dual numbers. SU(2) groups, two-component spinors and generating functions." Revista Mexicana de Física 66, no. 4 Jul-Aug (2020): 418. http://dx.doi.org/10.31349/revmexfis.66.418.

Full text

Abstract:

We explicitly show that the groups of $2 \times 2$ unitary matrices with determinant equal to 1 whose entries are double or dual numbers are homomorphic to ${\rm SO}(2,1)$ or to the group of rigid motions of the Euclidean plane, respectively, and we introduce the corresponding two-component spinors. We show that with the aid of the double numbers we can find generating functions for separable solutions of the Laplace equation in the $(2 + 1)$ Minkowski space, which contain special functions that also appear in the solution of the Laplace equation in the three-dimensional Euclidean space, in sp

APA, Harvard, Vancouver, ISO, and other styles

38

Cvetič, Mirjam, Paulo J. Porfírio, and Alejandro Satz. "Gaussian null coordinates, near-horizon geometry and conserved charges on the horizon of extremal nondilatonic black p-branes." International Journal of Modern Physics D 29, no. 11 (2020): 2041004. http://dx.doi.org/10.1142/s0218271820410047.

Full text

Abstract:

In this paper, we examine the emergence of conserved charges on the horizon of a particular class of extremal nondilatonic black [Formula: see text]-branes (which reduce to extremal dilatonic black holes in [Formula: see text] dimensions upon toroidal compactification) in the presence of a probe massless scalar field in the bulk. This result is achieved by writing the black [Formula: see text]-brane geometry in a Gaussian null coordinate system which allows us to get a nonsingular near-horizon geometry description. We find that the near-horizon geometry is [Formula: see text] and that the [For

APA, Harvard, Vancouver, ISO, and other styles

39

Redekop, D. "NATURAL FREQUENCIES OF A SHORT CURVED PIPE." Transactions of the Canadian Society for Mechanical Engineering 18, no. 1 (1994): 35–45. http://dx.doi.org/10.1139/tcsme-1994-0003.

Full text

Abstract:

The natural frequencies are determine for a short curved pipe. A shell theory is developed in toroidal coordinates, based on the Mushtari-Vlasov-Donnell assumptions. The theory is specialized for the case of moderate curvature of the torus centre-line. To demonstrate the accuracy of the theory the end. exponential decay coefficients are calculated. These are compared with the corresponding coefficients for a straight pipe, and with values given previously for a curved pipe. The theory for the determination of the natural frequencies of vibration in symmetric and anti-symmetric modes is present

APA, Harvard, Vancouver, ISO, and other styles

40

Zhupanska, O. I. "Axisymmetric contact with friction of a rigid sphere with an elastic half-space." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2108 (2009): 2565–88. http://dx.doi.org/10.1098/rspa.2009.0109.

Full text

Abstract:

The problem of normal contact with friction of a rigid sphere with an elastic half-space is considered. An analytical treatment of the problem is presented, with the corresponding boundary-value problem formulated in the toroidal coordinates. A general solution in the form of Papkovich–Neuber functions and the Mehler–Fock integral transform is used to reduce the problem to a single integral equation with respect to the unknown contact pressure in the slip zone. An analysis of contact stresses is carried out, and exact analytical solutions are obtained in limiting cases, including a full stick

APA, Harvard, Vancouver, ISO, and other styles

41

Dong, Li Yang, Ping Yi Liu, Wen Jun Wei, Hai Tao Li, and Xue Zhu Dong. "A Milling Method of an Enveloping Toroidal Worm on a CNC Turning Center." Advanced Materials Research 482-484 (February 2012): 2188–91. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.2188.

Full text

Abstract:

To solve the problem of allowance equalization in the grinding process of an enveloping toroidal worm after turning by using the hindley worm turning method, a milling method was presented based on discretization of the spiral surfaces rather than the generating principle. The method is used on a CNC tuning center with a cylindrical end milling cutter rather than on a specialized machine tool. The material of the spiral grooves of the worm was removed layer by layer both in the tangential and the radial directions of the torus of the worm from the tooth top circle to the tooth root circle. The

APA, Harvard, Vancouver, ISO, and other styles

42

Ault, Jesse T., Bhargav Rallabandi, Orest Shardt, Kevin K. Chen, and Howard A. Stone. "Entry and exit flows in curved pipes." Journal of Fluid Mechanics 815 (February 23, 2017): 570–91. http://dx.doi.org/10.1017/jfm.2017.72.

Full text

Abstract:

Solutions are presented for both laminar developing flow in a curved pipe with a parabolic inlet velocity and laminar transitional flow downstream of a curved pipe into a straight outlet. Scalings and linearized analyses about appropriate base states are used to show that both cases obey the same governing equations and boundary conditions. In particular, the governing equations in the two cases are linearized about fully developed Poiseuille flow in cylindrical coordinates and about Dean’s velocity profile for curved pipe flow in toroidal coordinates respectively. Subsequently, we identify ap

APA, Harvard, Vancouver, ISO, and other styles

43

Masoudi, Saeed, and Hendrik C. Kuhlmann. "Axisymmetric buoyant–thermocapillary flow in sessile and hanging droplets." Journal of Fluid Mechanics 826 (August 15, 2017): 1066–95. http://dx.doi.org/10.1017/jfm.2017.479.

Full text

Abstract:

The steady axisymmetric incompressible flow in a droplet sitting on or hanging from a flat plate is calculated numerically. In the limit of large mean surface tension the liquid–gas interface is spherical which allows the use of boundary-fitted toroidal coordinates. The flow is driven by thermocapillary and buoyant forces induced by a linear variation of the ambient temperature normal to the perfectly conducting wall. We present benchmark-quality results for the streamfunction and temperature fields, varying the contact angle, the thermocapillary Reynolds number, the Prandtl number, the Grasho

APA, Harvard, Vancouver, ISO, and other styles

44

Lewandowski, J. L. V. "Hybrid model for drift waves in fully three-dimensional plasmas: Theory and applications." Australian Journal of Physics 53, no. 2 (2000): 259. http://dx.doi.org/10.1071/ph98111.

Full text

Abstract:

A novel fluid/gyro-kinetic hybrid model to study drift waves in low-pressure stellarator plasmas is presented. The ion population is modeled with the collisionless gyro-kinetic equation and the electron population is described using fluid equations. The model equations are written in straight-field-line coordinates and are valid for any magnetic configuration with closed, nested magnetic surfaces. The geometrical effects which enter the final eigenmode equations are derived and discussed in some detail. The numerical method used to solve the coupled, time-dependent, along-the-field-line equati

APA, Harvard, Vancouver, ISO, and other styles

45

Shaing, K. C., M. S. Chu, and S. A. Sabbagh. "Flux–force relation for non-axisymmetric tori in general flux coordinates and neoclassical toroidal plasma viscosity." Nuclear Fusion 50, no. 12 (2010): 125012. http://dx.doi.org/10.1088/0029-5515/50/12/125012.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Дац, Евгений Павлович, Евгений Валерьевич Мурашкин, Алексей Михайлович Буруруев, Тимофей Константинович Нестеров, and Никита Эдуардович Стадник. "Calculation of residual stresses in the state of elastic unloading of a preheated inhomogeneous thermoelastoplastic material under conditions of toroidal symmetry." Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния, no. 1(47) (June 30, 2021): 105–13. http://dx.doi.org/10.37972/chgpu.2021.1.47.011.

Full text

Abstract:

Статья посвящена численному моделированию остаточных напряжений в неоднородном торе. Материал тора полагается термоупругопластическим. Расчет температурных напряжений происходит в рамках квазистатического приближения. Рассчитываются поля остаточных напряжений и деформаций. Приводятся численные результаты решения краевой задачи в тороидальных координатах. Рассматриваются случаи длинного тора и возможность аналитического приближения исходной краевой задачи. The article is devoted to the numerical simulation of residual stresses in an inhomogeneous torus. The torus material is assumed to be therm

APA, Harvard, Vancouver, ISO, and other styles

47

Dai, Zongliang, Yingfeng Xu, Lei Ye, Xiaotao Xiao, and Shaojie Wang. "Gyrokinetic simulation of ITG turbulence with toroidal geometry including the magnetic axis by using field-aligned coordinates." Computer Physics Communications 242 (September 2019): 72–82. http://dx.doi.org/10.1016/j.cpc.2019.04.004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Yin, C., and H. ‐M Maurer. "Electromagnetic induction in a layered earth with arbitrary anisotropy." GEOPHYSICS 66, no. 5 (2001): 1405–16. http://dx.doi.org/10.1190/1.1487086.

Full text

Abstract:

The traditional model for interpreting geoelectromagnetic data is a layered isotropic earth, but in regions with distinct dipping stratification, this model is inadequate. In this case, it is useful to extend the model to a layered earth with general anisotropy, assigning each layer a symmetrical [Formula: see text] resistivity tensor. The electromagnetic (EM) field is presented by two scalar potentials which describe the poloidal and toroidal part of the magnetic field. After stripping off the horizontal coordinates by a 2‐D Fourier transform, we obtain two coupled ordinary differential equat

APA, Harvard, Vancouver, ISO, and other styles

49

Weiss, Andreas J., Teresa Nieves-Chinchilla, and Christian Möstl. "Distorted Magnetic Flux Ropes within Interplanetary Coronal Mass Ejections." Astrophysical Journal 975, no. 2 (2024): 169. http://dx.doi.org/10.3847/1538-4357/ad7940.

Full text

Abstract:

Abstract Magnetic flux ropes (MFRs) at the center of interplanetary coronal mass ejections (ICMEs) are often characterized as simplistic cylindrical or toroidal tubes with field lines that twist around the cylinder or torus axis. Recent multipoint observations suggest that the overall geometry of these large-scale structures may be significantly more complex. As such, contemporary modeling approaches are likely insufficient to properly understand the global structure of any ICME. In an attempt to rectify this issue, we have developed a novel flux rope modeling approach that allows for the desc

APA, Harvard, Vancouver, ISO, and other styles

50

Zabarankin, Michael. "Asymmetric three-dimensional Stokes flows about two fused equal spheres." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2085 (2007): 2329–50. http://dx.doi.org/10.1098/rspa.2007.1872.

Full text

Abstract:

Exact solutions to three-dimensional Stokes flow problems for asymmetric translation and rotation of two fused rigid spheres of equal size have been obtained in toroidal coordinates. The problems have been reduced to three-contour equations for meromorphic functions from a certain class, and then the latter have been reduced to Fredholm integral equations of the second kind by the Mehler–Fock transform of order 1. For the specified class of functions, the equivalence of the corresponding three-contour and Fredholm equations has been established in the framework of Riemann boundary-value proble

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!