Cylindrical coordinate system ≈ Cylindrical coordinate system
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Physical aspects of peristaltic flow of hybrid nano fluid inside a curved tube having ciliated wall Open
The intensions of this work are to explain the peristaltic flow and heat transfer of hybrid (Cu-Ag/blood) and phase flow (Cu/blood) nanofluid models inside a curved tube having ciliated wall. The governing mathematical equations are establ…
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Numerical study of heat transfer and viscous flow in a dual rotating extendable disk system with a non‐Fourier heat flux model Open
Nonlinear, steady‐state, viscous flow, and heat transfer between two stretchable rotating disks spinning at dissimilar velocities are studied with a non‐Fourier heat flux model. A nondeformable porous medium is intercalated between the dis…
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Verification of BOUT++ by the method of manufactured solutions Open
BOUT++ is a software package designed for solving plasma fluid models. It has been used to simulate a wide range of plasma phenomena ranging from linear stability analysis to 3D plasma turbulence and is capable of simulating a wide range o…
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Nonlinear ultrasound simulation in an axisymmetric coordinate system using a <i>k</i>-space pseudospectral method Open
A full-wave model for nonlinear ultrasound propagation through a heterogeneous and absorbing medium in an axisymmetric coordinate system is developed. The model equations are solved using a nonstandard or k-space pseudospectral time domain…
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Near-axis expansion of stellarator equilibrium at arbitrary order in the distance to the axis Open
A direct construction of equilibrium magnetic fields with toroidal topology at arbitrary order in the distance from the magnetic axis is carried out, yielding an analytical framework able to explore the landscape of possible magnetic flux …
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Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of Frobenius Open
Based on the Frobenius series method, stresses analysis of the functionally graded rotating thick cylindrical pressure vessels (FGRTCPV) are examined. The vessel is considered in both plane stress and plane strain conditions. All of the cy…
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Modeling and Simulation of Particle Motion in the Operation Area of a Centrifugal Rotary Chopper Machine Open
The article presents approaches to the formation of a general computational scheme for modeling (simulating) the particle motion on an axisymmetric rotating curved surface with a vertical axis of rotation. To describe the complex particle …
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Full wave propagation modelling in view to integrated ICRH wave coupling/RF sheaths modelling Open
RF sheaths rectification can be the reason for operational limits for Ion Cyclotron Range of Frequencies (ICRF) heating systems via impurity production or excessive heat loads. To simulate this process in realistic geometry, the Self-consi…
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Coordinate parameterisation and spectral method optimisation for Beltrami field solver in stellarator geometry Open
The numerical solution of the stepped pressure equilibrium (Hudson et al 2012 Phys. Plasmas 19 112502) requires a fast and robust solver to obtain the Beltrami field in three-dimensional geometry such as stellarators. The spectral method i…
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Effect of temperature dependency on constrained orthotropic unbounded body with a cylindrical cavity due to pulse heat flux Open
In this paper, the thermoelastic interactions in an orthotropic unbounded body containing a cylindrical cavity are studied. This problem is solved by using the Green and Naghdi's (GN) generalized thermoelasticity model. The thermal materia…
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A Simplified Subdomain Analytical Model for the Design and Analysis of a Tubular Linear Permanent Magnet Oscillation Generator Open
We present a simplified 2-D analytical subdomain model to predict the open-circuit magnetic field of a tubular linear permanent magnet oscillation generator (T-LPMOG) to account for its primary and secondary end effects. At present, the ma…
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Stitching interferometry of full cylinder by use of the first-order approximation of cylindrical coordinate transformation Open
Since the cylinder surface is closed and periodic in the azimuthal direction, traditional stitching interferometry cannot be used to yield the 360° form map. This paper describes a full cylinder stitching interferometry based on the first-…
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Discussion on seepage governing equations for low permeability reservoirs with a threshold pressure gradient Open
Low permeability reservoirs account for an increasing proportion of oil production. Threshold pressure gradient is an important factor that governs the flow in low permeability porous media. The 1-D seepage governing equation (SGE) for low…
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Torsional vibrations of a cylindrical shell in a linear viscoelastic medium Open
In this paper, we consider the natural vibrations of inhomogeneous mechanical systems, i.e., cylindrical bodies located in a deformable viscoelastic medium. The theory and methods for studying the natural vibrations of a cylindrical shell …
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Dynamic analysis of a cylindrical cavity in inhomogeneous elastic half-space subjected to SH waves Open
Based on complex function methods and a multipolar coordinate system, the scattering induced by a cylindrical cavity in a radially inhomogeneous half-space is investigated. Mass density of the half-space varies depending on the distance fr…
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Vibrational Coupled Cluster Computations in Polyspherical Coordinates with the Exact Analytical Kinetic Energy Operator Open
We present the first use of curvilinear vibrational coordinates, specifically polyspherical coordinates, in combination with vibrational coupled cluster theory. The polyspherical coordinates are used in the context of both the adaptive den…
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Comparison of spin dynamics in the cylindrical and Frenet-Serret coordinate systems Open
A comparative analysis of a description of spin dynamics in the cylindrical\nand Frenet-Serret coordinate systems is carried out. An equivalence of these\ntwo systems is shown. A possibility of efficient use of the cylindrical\ncoordinate …
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A Continuous Coordinate System for the Plane by Triangular Symmetry Open
The concept of the grid is broadly used in digital geometry and other fields of computer science. It consists of discrete points with integer coordinates. Coordinate systems are essential for making grids easy to use. Up to now, for the tr…
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Polar Coordinate for Damage Imaging of Adhesively Bonded Plates Using Ultrasonic Guided Waves and Laser Doppler Vibrometer Measurements Open
Wavefield measurements by a scanning laser Doppler vibrometer are generally carried out in a cartesian coordinate.As a piezoelectric transducer generates Lamb waves following radial paths, the use of a polar coordinate can be a suitable al…
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Closed-form expressions for the magnetic fields of rectangular and circular finite-length solenoids and current loops Open
A summary of closed-form expressions for the magnetic fields produced by rectangular- and circular-shaped finite-length solenoids and current loops is provided altogether for easy reference. Each expression provides the magnetic field in a…
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Distributed Orientation Localization of Multi-agent Systems in 3-dimensional Space with Direction-only Measurements Open
When a group of agents such as unmanned aerial vehicles are operating in 3-dimensional space, their coordinated action in pursuit of some group objective generally requires all agents to share a common coordinate frame or orientations of t…
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Geometry optimization speedup through a geodesic approach to internal coordinates Open
We present a new geodesic-based method for geometry optimization in a basis set of redundant internal coordinates. Our method updates the molecular geometry by following the geodesic generated by a displacement vector on the internal coord…
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Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy Open
To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel cu…
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Learning to use Cartesian coordinate systems to solve physics problems: the case of ‘movability’ Open
In this paper, we show that introductory physics students may initially conceptualise Cartesian coordinate systems as being fixed in a standard orientation. Giving consideration to the role that experiences of variation play in learning, w…
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Lattice Boltzmann model in curvilinear coordinates for the study of the vibrational modes of a trumpet Open
Since its origins, lattice-Boltzmann methods have been restricted to rectangular coordinates, a fact which jeopardises the applications to problems with cylindrical or spherical symmetries and complicates the implementations with complex g…
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Analytical calculation and analysis of air gap magnetic field for electromechanical integrated toroidal drive Open
This article introduces the operating principle and structural characteristics of the electromechanical integrated toroidal drive system. For its inner and outer toroidal double-stator structure, the equivalent current method is applied to…
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Numerical Solution of Three-Dimensional Transient Heat Conduction Equation in Cylindrical Coordinates Open
Heat equation is a partial differential equation used to describe the temperature distribution in a heat-conducting body. The implementation of a numerical solution method for heat equation can vary with the geometry of the body. In this s…
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Pre-stack elastic reverse time migration in tunnels based on cylindrical coordinates Open
Seismic forward-prospecting in tunnels is an important step to ensure excavation safety. Nowadays, most advanced imaging techniques in seismic exploration involve calculating the solution of elastic wave equation in a certain coordinate sy…
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Non-planar elasticae as optimal curves for the magnetic axis of stellarators Open
The problem of finding an optimal curve for the target magnetic axis of a stellarator is addressed. Euler-Lagrange equations are derived for finite length three-dimensional curves that extremise their bending energy while yielding fixed in…
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Blood flow through an inclined stenosed artery Open
The present work is to investigate the effect of the inclination angle on blood flow through the flexible stenosed artery. The mathematical model of blood considered laminar, incompressible, unsteady and fully developed, is represented by …