Prolate Spheroid -- from Wolfram MathWorld
2024年11月7日 · A prolate spheroid is a surface of revolution obtained by rotating an ellipse about its major axis (Hilbert and Cohn-Vossen 1999, p. 10), and has Cartesian equations. The surface area of a prolate spheroid can be computed as a surface of revolution about the z -axis, with radius as a function of given by. The integrand is then.
Spheroid - Wikipedia
A spheroid, also known as an ellipsoid of revolution or rotational ellipsoid, is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters.
Prolate Spheroid - an overview | ScienceDirect Topics
Consider first a prolate spheroid with a constant surface potential ψ o in an electrolyte solution (Fig. 1.5 (a)). The potential ψ is assumed to be low enough to obey the linearized Poisson-Boltzmann equation (1.9). We choose the z-axis as the axis of symmetry and the center of the prolate as the origin.
Prolate spheroidal coordinates - Wikipedia
Prolate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the focal axis of the ellipse, i.e., the symmetry axis on which the foci are located.
Oblate and Prolate Spheroid | ClipArt ETC
Such a body is termed a spheroid. There are two kinds of spheroids-oblate and prolate; the former as the shape of an orange, the latter that of a lemon. The straight line that runs through the centre of a sphere or spheroid and terminates at the circumference is called the diameter.
Geometry - Spheroids - TechnologyUK
A spheroid is the shape that is traced out by rotating an ellipse about one of its two main axes. If the ellipse is rotated about its major axis, the resulting spheroid is called a prolate spheroid, and it looks something like a rugby ball or an American football.
Drag, lift, and torque on a prolate spheroid resting on a smooth ...
2021年1月2日 · We developed new relations for the aerodynamic forces on prolate-spheroidal particles attached to a surface in a linear shear flow using direct numerical simulations. The reduced-order model predicts drag, lift, and torque coefficients as a function of the particle aspect ratio, flow incidence angle, and Reynolds number.
Forces and torques on a prolate spheroid: low-Reynolds-number and ...
2018年11月27日 · Flow fields in equatorial and meridional planes were visualized by means of streamlines to illustrate Reynolds number and attack angle effects. Drag and lift forces and torques were computed and compared with the most recent correlation formulas.
Prolate Spheroids - an overview | ScienceDirect Topics
In the case of a prolate spheroid of eccentricity e, we find the variation of the (non- dimensional) speed ξ with e. You might find these chapters and articles relevant to this topic. Bingqiang Sun, ... George Kattawar, in Invariant Imbedding T-Matrix Method for Light Scattering by Nonspherical and Inhomogeneous Particles, 2020.
In this study, we simulate the flow field around a prolate spheroid with aspect ratio λ = c/a = 6 : 1, where 2c and 2a is the length of the major and minor axes, respectively. The Reynolds number is defined in terms of the uniform inflow velocity U0 and the length of the minor axis D = 2a,i.e.ReD = U0D/υ,whereυ is the