Relevant bibliographies by topics / Cylindrical coordinate system

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Cylindrical coordinate system'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Cylindrical coordinate system"

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Hadjinicolaou, Maria, and Eleftherios Protopapas. "Eigenfunction Expansions for the Stokes Flow Operators in the Inverted Oblate Coordinate System." Mathematical Problems in Engineering 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/9049131.

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When studying axisymmetric particle fluid flows, a scalar function,ψ, is usually employed, which is called a stream function. It serves as a velocity potential and it can be used for the derivation of significant hydrodynamic quantities. The governing equation is a fourth-order partial differential equation; namely,E4ψ=0, whereE2is the Stokes irrotational operator andE4=E2∘E2is the Stokes bistream operator. As it is already known,E2ψ=0in some axisymmetric coordinate systems, such as the cylindrical, spherical, and spheroidal ones, separates variables, while in the inverted prolate spheroidal coordinate system, this equation acceptsR-separable solutions, as it was shown recently by the authors. Notably, the kernel space of the operatorE4does not decompose in a similar way, since it accepts separable solutions in cylindrical and spherical system of coordinates, whileE4ψ=0semiseparates variables in the spheroidal coordinate systems and itR-semiseparates variables in the inverted prolate spheroidal coordinates. In addition to these results, we show in the present work that in the inverted oblate spheroidal coordinates, the equationE′2ψ=0alsoR-separates variables and we derive the eigenfunctions of the Stokes operator in this particular coordinate system. Furthermore, we demonstrate that the equationE′4ψ=0 R-semiseparates variables. Since the generalized eigenfunctions ofE′2cannot be obtained in a closed form, we present a methodology through which we can derive the complete set of the generalized eigenfunctions ofE′2in the modified inverted oblate spheroidal coordinate system.
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Kim, Kun-Woo, Jae-Wook Lee, Jin-Seok Jang, Joo-Young Oh, Ji-Heon Kang, Hyung-Ryul Kim, and Wan-Suk Yoo. "Construction of unwinding equation of motion for thin cable in spherical coordinate system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 7 (May 11, 2017): 1208–20. http://dx.doi.org/10.1177/0954406217705406.

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The transient-state unwinding equation of motion for a thin cable can be derived by using Hamilton’s principle for an open system, which can consider the mass change produced by the unwinding velocity in a control volume. In general, most engineering problems can be analyzed in Cartesian, cylindrical, and spherical coordinate systems. In the field of unwinding dynamics, until now, only Cartesian and cylindrical coordinate systems have been used. A spherical coordinate system has not been used because of the complexity of derivatives. Therefore, in this study, the unwinding motion of a thin cable was analyzed using a spherical coordinate system in both water and air, and the results were compared with the results in Cartesian and cylindrical coordinate systems. The unwinding motions in the spherical, Cartesian, and cylindrical coordinate systems were nearly same in both water and air. The error related to the total length was within 0.5% in water, and the error related to the maximum balloon radius was also within 0.5 % in air. Therefore, it can be concluded that it is possible to solve the transient-state unwinding equation of motion in a spherical coordinate system.
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Dong, Guo Jun, Cheng Shun Han, and Shen Dong. "Solution for Best Fitting Spherical Curvature Radius and Asphericity of Off-Axis Aspherics of Optical Aspheric Surface Component." Key Engineering Materials 364-366 (December 2007): 499–503. http://dx.doi.org/10.4028/www.scientific.net/kem.364-366.499.

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This study aimed to establish the coordinate transformation between the off-axis aspherics coordinate system σ and the axial symmetry aspherics coordinate system σ by transforming coordinates and present the computation models of asphericity in rectangular coordinate system and cylindrical coordinate system respectively. The asphericity expressions in both coordinate systems were applicable to the comparative sphere calculation of Off-axis aspherics with different figures. We selected an Initiation sphere in view of technology, along with equations in a right coordinate system for certain caliber and structure. Then, by numerical computation, we selected the best fitting sphere and simplifed the complex models by choosing a right coordinate system. At last, the solution for asphericity and the best fitting sphere curvature radius of off-axis aspherics were introduced by examples.
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Obukhov, A. G., and N. V. Chunikhina. "EQUATION OF CONTINUITY IN THE CYLINDRICAL COORDINATES SYSTEM." Oil and Gas Studies, no. 3 (July 1, 2016): 119–22. http://dx.doi.org/10.31660/0445-0108-2016-3-119-122.

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Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier - Stokes equations to describe such gas flows is advisable to use a cylindrical coordinate system. This paper describes the transformation of the first equation of the full Navier - Stokes equations. The result of the transformation is to write the continuity equation in the cylindrical coordinate system.
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Wei, Xiu Ting, Qiang Du, and Jing Cheng Liu. "The Application of UG NX Second Development in Centrifugal Pump Impeller Vane 3D Solid Modeling." Applied Mechanics and Materials 20-23 (January 2010): 1286–91. http://dx.doi.org/10.4028/www.scientific.net/amm.20-23.1286.

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The hydraulic model of the impeller and points of its vane surface given in the cylindrical coordinates, we can not directly use those data to accomplish the 3D solid modeling of the impeller in CAD systems. Based the Access and the UG NX, this paper puts forwards a new method for modeling centrifugal pump impeller vanes and presents the implementing procedure. And the method includes the following steps: 1) defining the data structure of hydraulic models; 2)converting the vane surface data from the cylindrical coordinate system to the cartesian coordinate system; 3)constructing the vane’s working surface and back surface along the axial transversals; 4) accomplishing the impeller’s 3D solid model by UG NX Second Development. The practical application demonstrates that the proposed method can shorten the cycle of impeller modeling and improve the design precision.
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Xing, Shi Tong, Hui Yang, Gang Zheng, and Hai Ma Yang. "The Scattering of Carbon Nanotubes on the Gaussian Beam." Applied Mechanics and Materials 229-231 (November 2012): 171–74. http://dx.doi.org/10.4028/www.scientific.net/amm.229-231.171.

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The first-order approximation description of Gaussian beam in the two parallel Cartesian coordinates was introduced. On the basis of Generalized Mie theory, adopting the relation between the spherical vector wave functions belonging to a rotating Cartesian coordinate system, the electromagnetic fields of Gaussian beam with spherical vector wave functions was deduced at any right coordinates system. Then taking advantage of the cylindrical vector wave functions given by Stratton, the relationship of the spherical vector wave functions expressed in cylindrical vector wave functions was deduced. Finally the electromagnetic fields of infinitely long cylinder was expanded by the cylindrical vector, and the approximate expression of the cylinder to the far zone scattered field was solved.
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Lei, Xiao Ling, and Bo Tao. "Study on the Diffusion Equations of Water Pollutants in Various Water Areas with Different Waterflow States." Advanced Materials Research 183-185 (January 2011): 1030–34. http://dx.doi.org/10.4028/www.scientific.net/amr.183-185.1030.

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The development and application of the diffusion equations of water pollutants are synthetically discussed. Depending on Cartesian Coordinate system, the water pollutants diffusion equations in different waterflow states are reviewed. And further development of the water pollutants diffusion equations in different waterflow states is extended to Cylindrical Coordinate system and Spherical Coordinate system respectively. This makes the simulating and modeling of water pollutants diffusion much more accurate and convenient in various water areas with different waterflow states by using different coordinate systems.
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Khomasuridze, N. "Effective Solution of a Class of Boundary Value Problems of Thermoelasticity in Generalized Cylindrical Coordinates." gmj 11, no. 3 (September 2004): 495–514. http://dx.doi.org/10.1515/gmj.2004.495.

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Abstract A class of static boundary value problems of thermoelasticity is effectively solved for bodies bounded by coordinate surfaces of generalized cylindrical coordinates ρ, α, 𝑧 (ρ, α are orthogonal curvilinear coordinates on the plane and 𝑧 is a linear coordinate). Besides in the Cartesian system of coordinates some boundary value thermoelasticity problems are separately considered for a rectangular parallelepiped. An elastic body occupying the domain Ω = {ρ 0 < ρ < ρ 1, α 0 < α < α 1, 0 < 𝑧 < 𝑧1}, is considered to be weakly transversally isotropic (the medium is weakly transversally isotropic if its nine elastic and thermal characteristics are correlated by one or several conditions) and non-homogeneous with respect to 𝑧.
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Barannikova, D. D., and A. G. Obukhov. "THE THIRD PROJECTION OF THE MOTION EQUATION IN THE CYLINDRICAL COORDINATE SYSTEM." Oil and Gas Studies, no. 1 (March 1, 2017): 109–12. http://dx.doi.org/10.31660/0445-0108-2017-1-109-112.

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Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier-Stokes equations to describe such gas flows is advisable to use a cylindrical coordinate system. This paper describes the transformation of the third projection of the equation of motion of the full Navier-Stokes equations. The result of the transformation is to record the third projection of the equation of motion of a continuous medium in a cylindrical coordinate system.
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Wang, Wan-xian. "Expansion of the Green’s function in a cylindrical coordinate system." Quarterly of Applied Mathematics 48, no. 3 (September 1, 1990): 499–501. http://dx.doi.org/10.1090/qam/1074964.

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Dissertations / Theses on the topic "Cylindrical coordinate system"

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Hu, Chih-Chieh. "Mechanistic modeling of evaporating thin liquid film instability on a bwr fuel rod with parallel and cross vapor flow." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/28148.

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Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2009.
Committee Chair: Abdel-Khalik, Said; Committee Member: Ammar, Mostafa H.; Committee Member: Ghiaasiaan, S. Mostafa; Committee Member: Hertel, Nolan E.; Committee Member: Liu, Yingjie.
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Strain, Michael J. "Design and testing of a finite difference time domain system in cylindrical coordinates." 2004. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=81059&T=F.

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Books on the topic "Cylindrical coordinate system"

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Riley, Donald L. Design, modeling, trajectory calculation and general calibration of a three degrees of freedom cylindrical coordinate system robot. 1986.

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Strain, Michael J. Design and testing of a finite difference time domain system in cylindrical coordinates. 2004.

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Book chapters on the topic "Cylindrical coordinate system"

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Patel, Priyanshi, Dhairya Shah, Jalaja Pandya, and Satyam Shinde. "Oscillating Central Force Field in Cylindrical-Polar Coordinates and Its Lagrange’s Equation of Motion." In Advances in Intelligent Systems and Computing, 11–19. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9953-8_2.

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Ziomek, Lawrence J. "Wave Propagation in the Cylindrical Coordinate System." In Fundamentals of Acoustic Field Theory and Space-Time Signal Processing, 151–268. CRC Press, 2020. http://dx.doi.org/10.1201/9781003069317-4.

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"Separation of Variables in the Cylindrical Coordinate System." In Heat Conduction, 128–82. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118411285.ch4.

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"M-Components Mathematical Modeling for Coniferous Tree Ignition." In Advances in Environmental Engineering and Green Technologies, 50–61. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7250-4.ch004.

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Based on the one-dimensional three-layer physical and mathematical model of ignition of a coniferous tree (pine), the influence of the m-components of the cloud-to-ground lightning discharge and the appropriateness of their consideration in technical systems for monitoring the forest fire danger are evaluated. The problem is solved in a cylindrical coordinate system. Typical cloud-to-ground lightning discharges are considered. An assessment of the influence of m-components was carried out for a typical range of changes in their characteristics.
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"M-Components Mathematical Modeling for Deciduous Tree Ignition." In Advances in Environmental Engineering and Green Technologies, 105–17. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7250-4.ch008.

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Based on a one-dimensional two-layer physical and mathematical model of ignition of a deciduous tree (birch), the influence of the m-components of a cloud-to-ground lightning discharge is estimated. The problem is solved in a cylindrical coordinate system. Typical cloud-to-ground lightning discharges are considered. An assessment of the influence of m-components was carried out for a typical range of changes in their characteristics. Surface temperature of tree trunk and heat flux to this surface are obtained during simulation.
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Saqib, Muhammad, Sharidan Shafie, and Ilyas Khan. "Generalized Brinkman Type Dusty Fluid Model for Blood Flow." In Advanced Applications of Fractional Differential Operators to Science and Technology, 154–70. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-3122-8.ch007.

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This chapter is dedicated to studying the magnetic blood flow with uniformly distributed magnetite dusty particles (MDP) in a cylindrical tube. For this purpose, the two-phase fractional Brinkman type fluid model is considered. The fractional governing equations are modeled in the cylindrical coordinate system taking into consideration the magnetization of the fluid due to the applied magnetic field. The fractional governing equations are subjected to physical initial and boundary conditions. The joint Laplace and Hankel transform is employed to develop exact analytical solutions. The obtained solutions are computed numerically and plotted in different graphs. It is noticed that for a long time the blood and MDP velocities increase with increasing values of the fractional parameter. In contrast, this effect reverses for a shorter time. In the case of the magnetic parameter, both velocities are decreased with increasing values of the magnetic parameter.
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"Three-Dimensional Mathematical Models to Simulate Coniferous Tree Ignition." In Advances in Environmental Engineering and Green Technologies, 29–49. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7250-4.ch003.

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The results of the numerical implementation of the spatial formulation for the problem of coniferous tree ignition by an electric current of a cloud-to-ground lightning discharge are presented. The problem is solved in a three-dimensional formulation in a cylindrical coordinate system. The axisymmetric formulation of the problem is considered. Localization of reactive wood, structural inhomogeneity of the bark, current-voltage characteristics of a cloud-to-ground lightning discharge, and chemical reaction in the gas phase are taken into account. The conditions for the ignition of a coniferous tree in the typical range of the discharge effect are revealed.
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"Two-Dimensional Mathematical Models to Simulate Coniferous Tree Ignition." In Advances in Environmental Engineering and Green Technologies, 13–28. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7250-4.ch002.

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The physical and mathematical formulation and results of the numerical solution of the problem for ignition of a coniferous tree (pine) by a cloud-to-ground lightning discharge are presented. The problem is considered in a flat formulation in a cylindrical coordinate system. The features of current flow and heat transfer are considered taking into account the localization of reactive wood and the presence of a surface layer of water. A parametric analysis was carried out, and the conditions for the ignition of a tree trunk were determined in a typical range of the exposure to negative and positive discharges.
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"Three-Dimensional Mathematical Models to Simulate Deciduous Tree Ignition." In Advances in Environmental Engineering and Green Technologies, 86–104. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7250-4.ch007.

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The results of the numerical implementation for the spatial formulation of the problem of the deciduous tree ignition by an electric current of a cloud-to-ground lightning discharge are presented. The problem was solved in a three-dimensional formulation in a cylindrical coordinate system. A symmetric formulation of the problem is considered. The localization of reactive wood, structural heterogeneity of the bark, volt-ampere characteristics of a cloud-to-ground lightning discharge, and chemical reaction in the gas phase are taken into account. The conditions of deciduous tree ignition in the typical range of the discharge effect are revealed.
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"One-Dimensional Mathematical Models to Simulate Deciduous Tree Ignition." In Advances in Environmental Engineering and Green Technologies, 63–73. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-7250-4.ch005.

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The results of numerical simulation of heating a coniferous tree (pine) by cloud-to-ground lightning discharge are presented. The problem is solved in a one-dimensional formulation in a cylindrical coordinate system. A four-layer structure of the coniferous trunk is considered taking into account the core, subcortical layer, bark and surface water layer. A parametric study of the effect of current-voltage characteristics typical of negative and positive cloud-to-ground lightning discharges on the process of heating the trunk wood has been carried out. The conditions for the ignition of a tree trunk in a typical range of variation of the parameters of the impact of the discharge are established.
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Conference papers on the topic "Cylindrical coordinate system"

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Park, Jae-Wan, Dae-Hyeon Song, and Chil-Woo Lee. "Upper-body pose recognition using cylindrical coordinate system." In 2013 19th Korea-Japan Joint Workshop on Frontiers of Computer Vision (FCV2013). IEEE, 2013. http://dx.doi.org/10.1109/fcv.2013.6485475.

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Steshenko, S. O., S. A. Prikolotin, D. J. Kulik, A. A. Kirilenko, L. A. Rud, and L. P. Mospan. "Numerical determination of eigenmodes of an arbitrary waveguide with coordinate boundaries in cylindrical coordinate system." In 2013 International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW). IEEE, 2013. http://dx.doi.org/10.1109/msmw.2013.6622013.

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Li, Binghao, and Y. Du. "A modified FDTD method using a hybrid Cartesian-cylindrical coordinate system." In 2016 Asia-Pacific International Symposium on Electromagnetic Compatibility (APEMC). IEEE, 2016. http://dx.doi.org/10.1109/apemc.2016.7522825.

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Gheonjian, A., and R. Jobava. "Non-uniform conforming mesh generator for FDTD scheme in 3D cylindrical coordinate system." In DIPED - 2000. Proceedings of 5th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. IEEE, 2000. http://dx.doi.org/10.1109/diped.2000.889999.

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Gerasimov, Dmitriy A., Sergey A. Terentiev, and Evgeniy V. Sypin. "Computer simulation of the optical system with cylindrical lenses for modified ignition coordinate gauge." In 2012 IEEE 13th International Conference and Seminar of Young Specialists on Micro/Nanotechnologies and Electron Devices (EDM 2012). IEEE, 2012. http://dx.doi.org/10.1109/edm.2012.6310216.

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Rahmatillah, Rahmi, Chairunnisa, and Achmad Munir. "Numerical analysis for wave propagation in circular waveguide using cylindrical coordinate system-based FDTD method." In 2014 International Conference of Advanced Informatics: Concept, Theory and Application (ICAICTA). IEEE, 2014. http://dx.doi.org/10.1109/icaicta.2014.7005942.

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Tanaka, Yohei, Naoto Nagaoka, Yoshihiro Baba, and Akihiro Ametani. "Simulation of lightning electromagnetic pulses with the TLM method in the 2D cylindrical coordinate system." In 2014 International Conference on Lightning Protection (ICLP). IEEE, 2014. http://dx.doi.org/10.1109/iclp.2014.6971987.

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Pattanaik, Sridhar, and R. K. Mishra. "ANN solution of partial differential equation in the cylindrical coordinate system for circular patch antenna." In 2008 International Conference on Recent Advances in Microwave Theory and Applications (MICROWAVE). IEEE, 2008. http://dx.doi.org/10.1109/amta.2008.4763172.

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Amin, Ershad Junus, and Achmad Munir. "Scattering parameters extraction of dielectric loaded circular waveguide using cylindrical coordinate system-based FDTD method." In 2015 International Seminar on Intelligent Technology and Its Applications (ISITIA). IEEE, 2015. http://dx.doi.org/10.1109/isitia.2015.7220020.

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Shabrina, Nabila Husna, and Achmad Munir. "Analysis of wave characteristics between cylindrical and cartesian coordinate system-based structure using FDTD method." In 2015 9th International Conference on Telecommunication Systems Services and Applications (TSSA). IEEE, 2015. http://dx.doi.org/10.1109/tssa.2015.7440451.

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