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Topic: Prolate spheroid

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	Stent delivery catheter with enhanced balloon shape - Patent 6221043
		Immediately proximal to the central segment of the balloon is a proximal segment of the balloon in the form of a prolate spheroid having a distal end that is the same diameter as the diameter of the cylindrical central segment and a proximal end that has a slightly reduced diameter.
		The central prolate spheroid segment 25 is joined at its proximal end to a first conical segment 24B which is joined to a second conical segment 24A that is joined to a cylindrical segment 23 that is fixedly attached to the outer shaft 50 of the balloon angioplasty catheter 20.
		The central prolate spheroid segment 25 is joined at its distal end to a first conical segment 28B that is joined to a second conical segment 28A that is joined to a cylindrical segment 29 that is fixedly attached to the distal end of the inner shaft 40.
	www.freepatentsonline.com /6221043.html (5381 words)

	Flaw Reconstruction Techniques (Site not responding. Last check: 2007-11-06)
		A scan in the PSP of the 2:1 oblate spheroid tilted at 30ƒ showed a peak in the flaw signal amplitude at the intersection of the VSP and the PSP (direction M), whereas a scan in the PSP of the tilted 2.5:1 prolate spheroid showed a constant flaw signal amplitude.
		This flaw was used to approximate a prolate spheroid with a 2.5:1 aspect ratio.
		This is consistent with the fact that the oblate spheroid has a smaller aspect ratio and a smaller tilt angle and is therefore not nearly a "low leverage" flaw to reconstruct using the normal (untilted) data-acquisition pattern.
	www.ndt-ed.org /EducationResources/CommunityCollege/Ultrasonics/MeasurementTech/flawreconstruction.htm (2979 words)

	Prolate Spheroid -- from Wolfram MathWorld
		A prolate spheroid is a spheroid that is "pointy" instead of "squashed," i.e., one for which the polar radius
		The ellipticity of the prolate spheroid is defined by
		Note that this is the conventional form in which the surface area of a prolate spheroid is written, although it is formally equivalent to the conventional form for the oblate spheroid via the identity
	mathworld.wolfram.com /ProlateSpheroid.html (177 words)

	Definition of Spheroid from dictionary.net
		(Geom.) Flattened or depressed at the poles; as, the earth is an oblate spheroid.
		Oblate ellipsoid or spheroid (Geom.), a solid generated by the revolution of an ellipse about its minor axis; an oblatum.
		Prolate ellipsoid or spheroid (Geom.), a figure generated by the revolution of an ellipse about its major axis.
	www.dictionary.net /spheroid (162 words)

	Fluent NEWS - Spring 2005 - The Prolate Spheroid Separates Turbulence Models
		Contours of the normalized invariant of the deformation tensor in a cross-flow plane toward the rear of the spheroid; the RSTM-2 model was used with an incidence angle of 20°
		On a cross section of the spheroid, about 2/3 of the length from the leading edge with a 20° incidence angle, the normalized invariant shows that the flow is largely shear-dominated throughout the boundary layer, and predominantly rotational near the core of the stream-wise vortices on the leeward side.
		For slender bodies like prolate spheroids, there is a nonlinear increase of lift with incidence angle, due to the low pressure near the cores of vortices that is impressed upon the nearby body surface.
	www.fluent.com /about/news/newsletters/05v14i1/a4.htm (1237 words)

	The Volume of the Spheroid (Site not responding. Last check: 2007-11-06)
		In general, a sphere that is scaled differently along its axes is a spheroid.
		A sphere that is stretched along one dimension, like a football with rounded ends, is a prolate spheroid, or an ellipsoid.
		Formulas exist for oblate and prolate spheroids in 3 dimensions.
	www.mathreference.com /ca-int,oid.html (217 words)

	Analytical Description of Transmembrane Voltage Induced by Electric Fields on Spheroidal Cells -- Kotnik and Miklavcic ...
		Far from the spheroid, the field is homogeneous and thus it follows from Eq.
		With a nonconductive membrane surrounding a prolate spheroid, the induced transmembrane voltage is the opposite of the electric
		With a nonconductive membrane surrounding an oblate spheroid, the induced transmembrane voltage is the opposite of the electric
	www.biophysj.org /cgi/content/full/79/2/670 (3465 words)

	Study of a dissipative particle dynamics based approach for modeling suspensions
		It is likely that the oblate spheroids ordered at the lower volume fraction because they are somewhat flatter, with a relatively large and round cross section, than the prolate spheroids, making it more difficult to "squeeze" out the fluid between them as they try to undergo Jeffery orbits near each other.
		Note that at φ≈ 0.1 of rate of increase of relative viscosity with φ for the oblate spheroid decreases, indicative of the onset of an apparent nematic phase.
		A nematic phase for the prolate spheroids occurs at somewhat higher φ.
	ciks.cbt.nist.gov /~garbocz/dynamics_suspensions_files/node13.htm (597 words)

	Clarkson U. \| CRCD \| ME 437 \| Viscous Flows
		The motion of a rigid prolate spheroid parallel to its axis of revolution as shown in Figure 4 is studied in this section.
		Schematic of a prolate spheroids in creeping flow motion.
		Similar to the method used for the oblate spheroid, one can solve the equation of creeping motion in prolate spheroidal coordinates subject to appropriate boundary conditions.
	www.clarkson.edu /projects/crcd/me437/notes/viscous_flows/viscous_flows_page37.html (127 words)

	Accelerated Motion of a Spheroid in Viscous Fluid (Site not responding. Last check: 2007-11-06)
		The exact solution of the equation of motion of a spheroid accelerated along its axis of symmetry to an arbitrarily applied force in a viscous fluid of infinite extent is obtained.
		The results are reduced to those of accelerated sphere case, in which the spheroid becomes a sphere.
		The prolate spheroid with the ratio of major axis to minor axis equal to 1.96 is found to have the greatest terminal settling velocity due to gravity and to travel longest distance due to an impulsive force among the spheroids of equal volume.
	www.pubs.asce.org /WWWdisplay.cgi?7300060 (155 words)

	Amazon.com: Spheroidal Wave Functions in Electromagnetic Theory (Wiley Series in Microwave and Optical Engineering): ... (Site not responding. Last check: 2007-11-06)
		Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations.
		The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations.
		Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied physics.
	www.amazon.com /Spheroidal-Functions-Electromagnetic-Microwave-Engineering/dp/0471031704 (934 words)

	YourArt.com >> Encyclopedia >> spheroid (Site not responding. Last check: 2007-11-06)
		If the ellipse is rotated about its major axis, the surface is a prolate spheroid (similar to the shape of a rugby ball).
		If the ellipse is rotated about its minor axis, the surface is an oblate spheroid (similar to the shape of the planet Earth or a pancake).
		Alternatively, a spheroid can also be characterised as an ellipsoid having two equal equatorial semi-axes (i.e., a
	www.yourart.com /research/encyclopedia.cgi?subject=/spheroid (158 words)

	Numerical Prediction of Flow over a Prolate Spheroid Undergoing a Pitchup Maneuver
		Prediction of the time-dependent flow around a 6:1 prolate spheroid undergoing a pitchup maneuver was obtained using Detached-Eddy Simulation (DES).
		DES is a hybrid formulation which attempts to capitalize on the often adequate performance of Reynolds-Averaged Navier-Stokes (RANS) models in predicting boundary layer growth and separation, and to use Large-Eddy Simulation (LES) away from solid surfaces to model the typically geometry-dependent and unsteady scales of motion in separated regions.
		Solutions of the compressible Navier-Stokes equations are obtained on unstructured grids, rigid-body motion of the spheroid is accomplished using an Arbitrary Lagrangian-Eulerian (ALE) formulation.
	home.gwu.edu /~rupesh/spheroid.html (436 words)

	Spheroid (via CobWeb/3.1 planetlab2.cs.umd.edu) (Site not responding. Last check: 2007-11-06)
		If the ellipse is rotated about its major axis, the surface is called a prolate spheroid (similar to the shape of a rugby ball or cigar).
		A Spheroid can also be characterised as an ellipsoid having two equal semi-axes, as represented by the equation :
		--> The sphere is a special case of the Spheroid in which the generating ellipse is a circle.
	spheroid.iqnaut.net.cob-web.org:8888 (161 words)

	Surface Area of the Spheroid
		In this section we derive the area of the spheroid, which is a surface of revolution.
		For both formulas, scale a and b by a common factor, and the area is squared, as it should be.
		In the prolate case, use the fact that e almost equals asin(e) for small e.
	www.mathreference.com /ca-surf,oid.html (381 words)

	Reconstruction of electromagnetic minimum energy sources in a prolate spheroid
		The inverse problem of reconstructing time-harmonic minimum energy current distributions in a spheroidal volume from given data of far-field radiation is addressed.
		, we formulate, upon deriving a spherical harmonics expansion of the electromagnetic field radiated by a current inside a prolate spheroid, the inverse problem in terms of linear operator theory.
		As an application, the use of minimum energy currents for identifying distributions of nonradiating current in a spheroidal volume is pointed out.
	www.agu.org /pubs/crossref/2004/2003RS002973.shtml (214 words)

	Football (ball) - Wikipedia, the free encyclopedia
		Nearly a prolate spheroid, it is slightly pointed at the ends, unlike the more elliptical rugby ball.
		The Canadian football is slightly less prolate than the American ball and has a closer resemblance to a rugby ball.
		The football used in rugby union is a prolate spheroid essentially elliptical in profile.
	en.wikipedia.org /wiki/Football_(ball) (1840 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: 2007-11-06)
		The shape of a chicken egg is approximately that of half each a prolate and roughly spherical (potentially even minorly oblate) ellipsoid joined at the equator, sharing a principal axis of rotational symmetry.
		Although the term egg-shaped usually implies a lack of reflection symmetry across the equatorial plane, it may also refer to true prolate ellipsoids.
		It can also be used to describe the 2D figure that, revolved around its major axis, produces the 3D surface.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=ellipsoid (421 words)

	prolate - OneLook Dictionary Search
		Example: "A prolate spheroid is generated by revolving an ellipse about its major axis"
		Phrases that include prolate: inverse prolate spheroida, prolate cycloid evolute, prolate ellipsoid, prolate hypocycloid, prolate spheroidal, more...
		Words similar to prolate: egg-shaped, elliptic, elliptical, oval, ovate, oviform, ovoid, watermelon-shaped, more...
	www.onelook.com /?w=prolate&ls=a (237 words)

	AOE@VT: Research - Facilities - Dynamic Plunge-Pitch-Roll Apparatus
		The flow over a 6:1 prolate spheroid undergoing transient maneuvers is studied.
		These data are coupled with steady oil flow visualizations and data sets from other researchers to describe the spheroid flow field in detail in both steady and unsteady cases.
		This flow field is characterized by complex, three-dimensional cross-flow separations that are highly non-linear and are expected to have very complex time dependencies in unsteady flows.
	www.aoe.vt.edu /research/facilities/dyppir/dyp_diss.php (411 words)

	Inflation of an orthotropic trilinear prolate spheroid with fibres and sheets
		Inflation of an orthotropic trilinear prolate spheroid with fibres and sheets
		A single prolate spheroidal element is defined with fibres oriented 65 degrees wrt the horizontal on the inside and -55 degrees wrt the horizontal on the outside.
		The prolate is inflated with a pressure of 2kPa on the inside face while the the pressure is held at zero on the outside face.
	www.bioeng.auckland.ac.nz /cmiss/examples/5/55/551/5512/index.html (596 words)

	Electrostatic image theory for the conducting prolate spheroid
		Electrostatic image theory is developed for a point charge at the axis of revolution of a perfectly conducting prolate spheroid.
		A previous theory, introduced in 1995, presenting the image as a line charge between the focal points, was seen to be numerically stable only when the charge is far enough from the spheroid and when the eccentricity of the spheroid is large enough.
		Because the extracted point image theory reduces analytically to the classical Kelvin image in the case when the spheroid reduces to a sphere, and the line image simultaneously vanishes, the present theory can be seen as a generalization of the Kelvin image theory.
	stacks.iop.org /0022-3727/34/2302 (303 words)

	Spheroid -- from Wolfram MathWorld
		A spheroid is an ellipsoid having two axes of equal length.
		, and the spheroid is oriented so that its axis of rotational symmetric is along the
		The volume of a spheroid can be computed from the formula for a general ellipsoid with
	mathworld.wolfram.com /Spheroid.html (105 words)

	prolate spheroidal coordinates - Advanced Physics Forums (Site not responding. Last check: 2007-11-06)
		Presumably for whatever application you had in mind, that singularity is embedded inside a prolate spheroidal region where you\'d never want to use your coordinate system.
		So the size of that spheroid determines the value of a you want to use.
		If a and c are the axes of a prolate spheroid, then how does one define the coordinate system so that the surface of the spheroid is a surface of constant zeta in the coordinate system?
	www.advancedphysics.org /forum/showthread.php?t=1187 (309 words)

	Football Shape (Site not responding. Last check: 2007-11-06)
		You can get something like a football or something like a flying saucer, depending on which axis you choose.
		Ken Mellendorf Illinois Central College ======================================================== An Americal football is a prolate spheroid.
		Am M&M candy, on the other hand, is an oblate spheroid.
	www.newton.dep.anl.gov /askasci/math99/math99124.htm (287 words)

	Flometrics - Computed Flow around Prolate Spheroid
		The flow around a prolate spheroid is similar to the flow around a submarine or aircraft fuselage.
		The flow around the prolate spheroid models was simulated using a commercial finite element code, FIDAP.
		This corresponds to the experimental result Water Tunnel Flow visualization of Prolate Spheroid (Submarine Shape)
	www.flometrics.com /services/CFD/comprslt.htm (195 words)

	Prolate Spheroid Gravitational Potential -- from Eric Weisstein's World of Physics
		Prolate Spheroid Gravitational Potential -- from Eric Weisstein's World of Physics
		These are useful in computing the Roche limit for a liquid body.
		Gravitational Potential, Oblate Spheroid Gravitational Potential, Roche Limit
	scienceworld.wolfram.com /physics/ProlateSpheroidGravitationalPotential.html (102 words)

	In praise of the prolate spheroid \| csmonitor.com (Site not responding. Last check: 2007-11-06)
		When it's jarred loose we are reminded that the football may be symmetrical, but it is far from spherical.
		The unusual shape, known as a prolate spheroid, means that this ball bounces with more maddening unpredictability than any other in sports.
		By the mid-1870s, a rugby ball had become the ball of choice, but it wasn't until 1911 that the rules specified use of a prolate spheroid.
	www.csmonitor.com /2003/1119/p18s03-hfes.html?entryBottomStory (1447 words)

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