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Axisymmetric Viscous Fluid Motions Around Conical Surfaces

SIAM Journal on Applied Mathematics, 1966
Abstract : The introduction of complex Navier-Stokes equations shows that steady axisymmetric motions of viscous incompressible fluids around conical surfaces can be expressed in terms of the corresponding general solution of the Stokes equations of slow motions.
Schwiderski, E. W.   +2 more
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Uniformizing Surfaces with Conical Singularities

2015
We consider a class of singular equations, motivated by the problem of prescribing the Gaussian curvature, as well as from some models in theoretical physics such as self-dual Chern–Simons theory or Electroweak theory: our goal is to prove existence results by attacking the problem variationally, using suitable improvements of the Moser–Trudinger ...
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Conic Constant and Paraxial Radius of Curvature Measurements, for Conic Surfaces.

Optical Fabrication and Testing Workshop, 1985
A technique was developed1 to find the profile of a conic surface, along one diameter. In this method it is necessary to - determine a set of values of the longitudinal aberration2, X, - and the corresponding angles, θ. For this method one assumes - that the values of the paraxial radius of curvature, r, and the conic constant, k, are known, and they ...
R. Díaz-Uribe   +3 more
openaire   +1 more source

Conic-like subdivision curves on surfaces

The Visual Computer, 2012
In this paper, we introduce a novel nonlinear curve subdivision scheme, suitable for designing curves on surfaces. The scheme is based on the concept of geodesic conic Bezier curves, which represents a natural extension of geodesic Bezier curves for the rational quadratic case.
Jorge Estrada Sarlabous   +4 more
openaire   +1 more source

Aberrations of a Conic Surface

2011
6.1 Introduction So far, we have considered the aberrations of spherical surfaces, which are conic surfaces of zero eccentricity. In this chapter, we discuss the aberrations of a conic surface with an arbitrary value of eccentricity. Our starting point is imaging by and aberrations of a spherical surface discussed in Sections 1.8 and 4.2.
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Lagrange interpolation on the conical surface

SCIENTIA SINICA Mathematica, 2015
Summary: In this paper, we apply the superposition interpolation process and the factorization methods to discuss the well-posedness of Lagrange interpolation on the conical surface. Several ways to construct the properly posed set of nodes for Lagrange interpolation on the conical surface are proposed by choosing proper points along generatrices ...
Liang, Xuezhang, Li, Qiang, Liu, Chang
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Augmenting the performance of pyramid distiller via conical absorbing surface, reflectors, condenser, and thermal storing material

Journal of Energy Storage, 2022
F. Essa   +7 more
semanticscholar   +1 more source

Surface Sag and Conic Sections

2018
During the process of optical system design and layout, it is often necessary to determine the depth, or sag, of an optical surface at some specific height (aperture radius). For example, consider the configuration of a simple lens cell, as shown in Figure G.1(a).
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