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Academic literature on the topic 'Isothermal coordinates'

Author: Grafiati

Published: 24 April 2022

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Journal articles on the topic "Isothermal coordinates"

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BOONSERM, PETARPA, and MATT VISSER. "BUCHDAHL-LIKE TRANSFORMATIONS FOR PERFECT FLUID SPHERES." International Journal of Modern Physics D 17, no. 01 (2008): 135–63. http://dx.doi.org/10.1142/s0218271808011912.

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In two previous articles [Phys. Rev. D71 (2005) 124307 (gr-qc/0503007) and Phys. Rev. D76 (2006) 0440241 (gr-qc/0607001)] we have discussed several "algorithmic" techniques that permit one (in a purely mechanical way) to generate large classes of general-relativistic static perfect fluid spheres. Working in Schwarzschild curvature coordinates, we used these algorithmic ideas to prove several "solution-generating theorems" of varying levels of complexity. In the present article we consider the situation in other coordinate systems. In particular, in general diagonal coordinates we shall general

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Ikonen, Toni. "Uniformization of metric surfaces using isothermal coordinates." Annales Fennici Mathematici 47, no. 1 (2021): 155–80. http://dx.doi.org/10.54330/afm.112781.

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 We establish a uniformization result for metric surfaces – metric spaces that are topological surfaces with locally finite Hausdorff 2-measure. Using the geometric definition of quasiconformality, we show that a metric surface that can be covered by quasiconformal images of Euclidean domains is quasiconformally equivalent to a Riemannian surface. To prove this, we construct an atlas of suitable isothermal coordinates.

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Hamdamov, Muzaffar, Akmal Mirzoyev, Eshmurod Buriev, and Nosirbek Tashpulatov. "Simulation of non-isothermal free turbulent gas jets in the process of energy exchange." E3S Web of Conferences 264 (2021): 01017. http://dx.doi.org/10.1051/e3sconf/202126401017.

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This article proposes a numerical method for solving the propagation and combustion of a jet of a gas mixture in an axisymmetric satellite air stream. To model the process, the dimensionless equations of the turbulent boundary layer of reacting gases in the Mises coordinates are used. A two-layer four-point nonlinear boundary separation scheme was used to solve the problem in the Mises coordinates, and a second-order along the longitudinal coordinate was given. The iterative process was used because of the nonlinearity of the storage and displacement equations of substations. Individual result

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Brovman, M. Ya. "Method for heat transfer calculation using isothermal coordinates." Journal of Engineering Physics and Thermophysics 68, no. 4 (1996): 532–39. http://dx.doi.org/10.1007/bf00858673.

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Miklyukov, V. M. "On isothermal coordinates of locally Lipschitz surfaces with singularities." Doklady Mathematics 83, no. 2 (2011): 185–87. http://dx.doi.org/10.1134/s1064562411020177.

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Saenko, Oleg A., and William J. Merryfield. "Vertical partition of ocean heat transport in isothermal coordinates." Geophysical Research Letters 33, no. 1 (2006): n/a. http://dx.doi.org/10.1029/2005gl024902.

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KACHKACHI, H., and M. KACHKACHI. "SUPERCONFORMAL STRUCTURES AND HOLOMORPHIC 1/2-SUPERDIFFERENTIALS ON N=1 SUPER RIEMANN SURFACES." Modern Physics Letters A 08, no. 38 (1993): 3643–58. http://dx.doi.org/10.1142/s0217732393002385.

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Using the super Riemann-Roch theorem we give a local expression for a holomorphic ½-superdifferential in a superconformal structure parametrized by special isothermal coordinates on an N=1 super Riemann surface. The holomorphy of these coordinates with respect to super Beltrami differentials is proved. The monodromy of these differentials is discussed.

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Cao, Jianguo. "The Existence of Generalized Isothermal Coordinates for Higher Dimensional Riemannian Manifolds." Transactions of the American Mathematical Society 324, no. 2 (1991): 901. http://dx.doi.org/10.2307/2001747.

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Cao, Jian Guo. "The existence of generalized isothermal coordinates for higher-dimensional Riemannian manifolds." Transactions of the American Mathematical Society 324, no. 2 (1991): 901–20. http://dx.doi.org/10.1090/s0002-9947-1991-0991959-1.

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Warnecke, J., P. J. Käpylä, M. J. Mantere, and A. Brandenburg. "Coronal ejections from convective spherical shell dynamos." Proceedings of the International Astronomical Union 7, S286 (2011): 154–58. http://dx.doi.org/10.1017/s1743921312004772.

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AbstractWe present a three-dimensional model of rotating convection combined with a simplified model of a corona in spherical coordinates. The motions in the convection zone generate a large-scale magnetic field which is sporadically ejected into the outer layers above. Our model corona is approximately isothermal, but it includes density stratification due to gravity.

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Book chapters on the topic "Isothermal coordinates"

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Huang, Rui Xin. "Heaving Signals in the Isothermal Coordinate." In Heaving, Stretching and Spicing Modes. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2941-2_6.

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Kobayashi, Shiro, Soo-Ik Oh, and Taylan Altan. "Axisymmetric Isothermal Forging." In Metal Forming and the Finite-Element Method. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195044027.003.0012.

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According to Spies, the majority of forgings can be classified into three main groups. The first group consists of compact shapes that have approximately the same dimensions in all three directions. The second group consists of disk shapes that have two of the three dimensions (length and width) approximately equal and larger than the height. The third group consists of the long shapes that have one main dimension significantly larger than the two others. All axially symmetric forgings belong to the second group, which includes approximately 30% of all commonly used forgings. A basic axisymmetric forging process is compression of cylinders. It is a relatively simple operation and thus it is often used as a property test and as a preforming operation in hot and cold forging. The apparent simplicity, however, turns into a complex deformation when friction is present at the die–workpiece interface. With the finite-element method, this complex deformation mode can be examined in detail. In this chapter, compression of cylinders and related forming operations are discussed. Since friction at the tool–workpiece interface is an important factor in the analysis of metal-forming processes, this aspect is also given particular consideration. Further, applications of the FEM method for complex-shaped dies are shown in the examples of forging and cabbaging. Finite-element discretization with a quadrilateral element is similar to that given in Chap. 8. The cylindrical coordinate system (r, ϑ, z) is used instead of the rectangular coordinate system. The element is a ring element with a quadrilateral cross-section, as shown in Fig. 9.1. The ξ and η of the natural coordinate system vary from −1 to 1 within each element.

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Furbish, David Jon. "Fluid Statics and Buoyancy." In Fluid Physics in Geology. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195077018.003.0010.

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Fluid statics concerns the behavior of fluids that possess no linear acceleration within a global (Earth) coordinate system. This includes fluids at rest as well as fluids possessing steady motion such that no net forces exist. Such motions may include steady linear motion within the global coordinate system as well as rotation with constant angular velocity about a fixed vertical axis. In this latter case, centrifugal forces must be balanced by centripetal forces (which arise, for example, from a pressure gradient acting toward the axis of rotation). Moreover, we assert that no relative motion between adjacent fluid elements exists. Fluid motion, if present, is therefore like that of a rigid body. In addition, we neglect molecular motions that lead to mass transport by diffusion. Thus, the idea of a static fluid is a macroscopic one. The developments in this chapter clarify how pressure varies with coordinate position in a static fluid. Both compressible and incompressible fluids are treated. In the simplest case in which the density of a fluid is constant, we will see that pressure varies linearly with vertical position in the fluid according to the hydrostatic equation. In addition, we will consider the possibility that fluid density is not constant. Then, variations in density must be taken into account when computing the pressure at a given position in a fluid column; the pressure arising from the weight of the overlying fluid no longer varies linearly with depth. In the case of an isothermal fluid, whose temperature is constant throughout, any variation in density must arise purely from the compressible behavior of the fluid in response to variations in pressure. In the case where temperature varies with position, fluid density may vary with both pressure and temperature. We will in this regard consider the case of a thermally stratified fluid whose temperature varies only with the vertical coordinate direction. Because fluid statics requires treating how fluid temperature, pressure, and density are related, the developments below make use of thermodynamical principles developed in Chapter 4.

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Conference papers on the topic "Isothermal coordinates"

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Gran, Inge R., M. C. Melaaen, and F. Magnussen. "Numerical Simulation of Fluid Flow and Combustion in Gas Turbine Combustors." In ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/93-gt-166.

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The finite-volume approach together with body-fitted curvilinear non-orthogonal coordinates and a non-staggered grid arrangement is used for investigating turbulent reacting flows inside gas turbine combustion chambers. The computational grids are generated by solving elliptic differential equations, permitting an accurate description of the complex geometry of commercial gas turbine combustors. Different combustion models are briefly discussed with a view to their suitability for practical combustor predictions. The k-ε model and the Eddy Dissipation Concept are selected to account for the tu

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Sataev, Alexandr, and Vyacheslav Andreev. "Visualization of Non-Isothermal Liquids Mixing Processes Under the Influence of External Forces." In 31th International Conference on Computer Graphics and Vision. Keldysh Institute of Applied Mathematics, 2021. http://dx.doi.org/10.20948/graphicon-2021-3027-324-329.

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The paper presents a visualization of the mixing processes of non-isothermal flows in the model of a ship's nuclear power plant under static and dynamic modes. The values obtained at the experimental stand served as the database for visualization. It is a four-loop model of the flow part of a ship's nuclear power plant. To create a dynamic mode (oscillations in one plane), the model is placed on a swinging platform. This paper shows the processes occurring during periodic pitching with a period of 4 seconds and amplitude of 15 degrees. The descending annular section of the circulation tract wa

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Ozaki, Kougen, and Hiroshi Maekawa. "Curvature Effects in the Curved Duct for the Compressible Viscous Flow With Heat Transfer." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45634.

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In this paper, non-reflecting boundary conditions based on the NSCBC method for three-dimensional compressible viscous flows, especially outlet boundary conditions, are examined and numerical tests for a curved duct flow are made. Using the subsonic non-reflecting outflow boundary conditions, curvature effects for compressible flow are investigated. First, numerical flows in a straight duct was tested for the stability of the solution and the efficiency of the subsonic non-reflecting outflow conditions extended to 3D problems. Numerical tests show that the non-reflecting NSCBC method provides

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Va´squez, Ricardo S., and Antonio J. Bula. "Uncoupling the Conjugate Heat Transfer Problem in a Horizontal Plate Under the Influence of a Laminar Flow." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41378.

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The conjugate heat transfer process of cooling a horizontal plate in steady state condition is studied. The model considers both solid and fluid regions in Cartesian coordinates. The problem was solved analytically, considering the fluid flowing in a laminar condition and hydrodynamically developed before any interaction with the heated body. The height of the fluid considered was enough to allow the generation of a thermal boundary layer without any restriction. The conservation of mass, momentum and energy equations were considered to turn the problem into a non dimensional form. The heated

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Sucec, James. "Calculation of Turbulent Boundary Layers Using Equilibrium Thermal Wakes." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32919.

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The combined thermal law of the wall and wake is used as the approximating sequence for the boundary layer temperature profile to solve an integral thermal energy equation for the local Stanton number distribution. The velocity profile in the turbulent boundary layer was taken to be the combined law of the wall and wake of Coles. This allows the solution of an integral form of the x-momentum equation, to give the skin friction coefficient distribution. This, along with the velocity profile is used to solve the thermal energy equation using inner coordinates. The strength of the thermal wake wa

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Zhang, Pengfei, Juan Lu, Zhiduo Wang, Liming Song, and Zhenping Feng. "Adjoint-Based Optimization Method With Linearized SST Turbulence Model and a Frozen Gamma-Theta Transition Model Approach for Turbomachinery Design." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42582.

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In this paper, based on the grid node coordinates variation and Jacobian Matrices, the turbulent continuous adjoint method with linearized turbulence model is studied and developed to fully account for the variation of turbulent eddy viscosity. The corresponding adjoint equations, boundary conditions and the final sensitivities are formulated with a general expression. To implement the adjoint optimization of the transition flow, a flow solver combining the transition model with the turbulence model is employed, and an adjoint optimization framework with linearized SST turbulence model and a f

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Malateaux, Ezequiel C., and Luiz F. Milanez. "Numerical Analysis of the Thermal Dissipation in Horizontal Isothermal Eccentrically Insulated Cylinders by Free Convection." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62680.

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Heat transfer in horizontal concentrically insulated cylinders exposed to free convection is of importance in industry. However, the NuD and the surface temperature are not constant around the cylinder, raising the point that the use of concentric insulation may not be the best way to arrange the insulating layer. Thus, if an eccentric layer is used, the surface temperature should have a larger variation, changing the flow around the cylinder and the heat dissipation. A numerical analysis of the heat dissipation in horizontal isothermal eccentrically insulated cylinders exposed to free convect

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Dias, Tito, and Luiz Fernando Milanez. "Preliminary Study of Natural Convection Due to a Small Heat Source on an Isothermal Wall." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22508.

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In this work, we simulated a flow over a point heat source flush-mounted on a vertical uniform temperature wall. Our numerical study was accomplished by integrating the governing equations by the finite volume control method. The flow was assumed to be incompressible and laminar, with constant temperature properties except for the Boussinesq assumption of the dependence of specific mass on temperature. The results are presented for two- and three-dimensional cases for Rayleigh number equal to 106. The numerical results confirm the theoretical scales, provided by similarity methods in literatur

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Karamanis, Georgios, Marc Hodes, Toby Kirk, and Demetrios T. Papageorgiou. "Nusselt Numbers for Fully-Developed Flow Between Parallel Plates With One Plate Textured With Isothermal Parallel Ridges." In ASME 2016 Heat Transfer Summer Conference collocated with the ASME 2016 Fluids Engineering Division Summer Meeting and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ht2016-7262.

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We develop a semi-analytical solution for the Nusselt number for fully-developed flow of liquid between parallel plates, one of which is textured with isothermal parallel ridges. The opposite plate is smooth and adiabatic. The liquid is assumed to be in the Cassie state on the textured surface, on which a mixed boundary condition of no slip on the ridges and no shear along menisci applies. An existing solution for the velocity field is valid. The thermal energy equation is subjected to a mixed isothermal-ridge and adiabatic-meniscus boundary condition on the textured surface. Given the nature

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Hsu, C. T., S. W. Chiang, and K. F. Sin. "A Novel Dynamics Lattice Boltzmann Method for Gas Flows." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31237.

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The lattice Boltzmann method (LBM), where discrete velocities are specifically assigned to ensure that a particle leaves one lattice node always resides on another lattice node, has been developed for decades as a powerful numerical tool to solve the Boltzmann equation for gas flows. The efficient implementation of LBM requires that the discrete velocities be isotropic and that the lattice nodes be homogeneous. These requirements restrict the applications of the currently-used LBM schemes to incompressible and isothermal flows. Such restrictions defy the original physics of Boltzmann equation.

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