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Topic: Irrotational

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	Irrotational vector field - Wikipedia, the free encyclopedia
		In vector calculus, an irrotational or conservative vector field is a vector field whose curl is zero.
		In fluid mechanics, an irrotational field is practically synonymous with a lamellar field.
		The adjective "irrotational" implies that irrotational fluid flow (whose velocity field is irrotational) has no rotational component: the fluid does not move in circular or helical motions; it does not form vortices.
	en.wikipedia.org /wiki/Irrotational_vector_field (278 words)

	D'Alembert's paradox - Wikipedia, the free encyclopedia
		If it were also non-viscous, and therefore irrotational, then the liquid could not be stirred with a spoon to form a vortex: the spoon could not drag the liquid, because the liquid produces no drag on the spoon.
		Mathematically, this is due to the liquid being irrotational and therefore Laplacian.
		Physically, this is due to the fluid being non-viscous: it is unable to attach itself frictionally to the spoon.
	en.wikipedia.org /wiki/D'Alembert's_paradox (911 words)

	Archive on Irrotational Motions of Viscous & Viscoelastic Fluids
		A viscous correction of the irrotational pressure is needed to resolve the discrepancy between the zero-shear-stress boundary condition at a free surface and the non-zero irrotational shear stress.
		We derive a viscous correction of the irrotational pressure which presumably arises from a boundary layer induced by the discontinuity of the tangential velocity and shear stress at the interface evaluated using the potential flow solution.
		We show that the irrotational viscous flow with pressure corrections gives rise to exactly the same dispersion relation as the dissipation method in which no pressure at all is required and the viscous effect is accounted for by evaluating the viscous dissipation using the irrotational flow.
	www.aem.umn.edu /people/faculty/joseph/ViscousPotentialFlow (5669 words)

	PlanetMath: irrotational field
		irrotational vector field, curl free field, curl-free vector field
		Cross-references: solenoidal, irrotational, functions, component, complex, real, differentiable, vector field, open set
		This is version 6 of irrotational field, born on 2002-11-13, modified 2003-10-18.
	planetmath.org /encyclopedia/CurlFreeVectorField.html (76 words)

	Archive on Irrotational Motions of Viscous and Viscoelastic Fluids
		In this paper we investigate the effects of an irrotational, viscous pressure on the stability of a liquid jet into gases and liquids.
		The liquid jet is always unstable; at high Weber numbers the instability is dominated by capillary instability; at low W the instability is dominated by Kelvin-Helmholtz (KH) waves generated by pressures driven by the discontinuous velocity.
		In the irrotational analysis the viscosity is important but the effects of shear are neglected.
	www.aem.umn.edu /people/faculty/joseph/ViscousPotentialFlow/936.html (475 words)

	IRROTATIONAL FLOW OF AN INVISCID FLUID (Site not responding. Last check: 2007-10-01)
		This lecture is devoted to the study of irrotational plane flows of an inviscid fluid.
		Flow around a cylinder The irrotational flow around a cylinder is analyzed in terms of flow and pressure fields.
		Flow around a wing The irrotational flow around a wing is analyzed in terms of flow and pressure fields.
	www.av8n.com /irro/lecture_e.html (436 words)

	1979: Journal of the Atmospheric Sciences, 36(10), 1844-1861
		These relationships are shown to exist because 1) the wind field responsible for the fluxes is quasi-geostrophic and 2) the instantaneous distributions of temperature, relative vorticity and potential vorticity tend to be rather similar to that of the geopotential field in the vicinity of the tropopause level.
		The distribution of transient eddy heat flux in the lower troposphere is primarily irrotational and directed down the local horizontal gradient of the time-averaged temperature field.
		The irrotational transient eddy flux of zonal momentum at the jet stream level is much smaller than the corresponding flux associated with momentum advection by the time-averaged flow and it is directed into regions of low zonal wind speed.
	www.gfdl.noaa.gov /reference/bibliography/1979/gl7901.html (608 words)

	15.5 Irrotational flow around a Joukowski airfoil
		Flows of incompressible irrotational fluids are often encountered early in courses on fluid mechanics and PDEs.
		Also, irrotational flow often represents a good approximation to high Reynolds number flows outside boundary layers, provided that the boundary layers have not separated from the boundaries.
		Another use of irrotational flow solutions is as a starting point for in-depth CFD computations, be they for laminar or turbulent flow.
	www.ualberta.ca /CNS/RESEARCH/NAG/FastfloDoc/Tutorial/html/node135.html (554 words)

	Electrochemical Driving Force - Corrosionsource Discussion Boards (Site not responding. Last check: 2007-10-01)
		The field E is irrotational at a certain point if the curl of the vector field (curl E) is zero at that point.
		So, if the we move a charge around a closed loop in an irrotational field, the total energy gained or lost, which is equal to the loop integral of (F dl), is seen to be the integral of [q (E dl)] which in turn is equal to zero as per the definition of irrotationality.
		Because of this, it is generally recognised in classical electrical theory that irrotational fields are incapable of sustaining stationary electrical currents because energy is continuously depleted in the form of ohmic heat during current flow.
	www.corrosionsource.com /discuss2/ubb/Forum19/HTML/000008.html (1345 words)

	Citebase - A new numerical method for constructing quasi-equilibrium sequences of irrotational binary neutron stars in ... (Site not responding. Last check: 2007-10-01)
		A new numerical method for constructing quasi-equilibrium sequences of irrotational binary neutron stars in general relativity
		the vorticity of the flow field inside component stars vanishes everywhere (irrotational flow), and (2) the binary star system is in quasi-equilibrium, for an inspiraling binary neutron star system just before the coalescence as a result of gravitational wave emission.
		By using this code, we have obtained quasi-equilibrium sequences of irrotational binary star systems with strong gravity as models for final states of real evolution of binary neutron star systems just before coalescence.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:gr-qc/9908059 (368 words)

	[No title]
		Thus, for an irrotational field, the EMF defined in Sec.
		Our objective is to exemplify by direct evaluation the fact that the line integration of an irrotational field between two given points is independent of the integration path.
		Potential surfaces have their greatest value in the mind's eye, which pictures a two-dimensional potential as a contour map and the lines of electric field intensity as the flow lines of water streaming down the hill.
	web.mit.edu /6.013_book/www/chapter4/4.1.html (1680 words)

	chapt3
		Summarizing, this means that for a steady flow a particle pathline and streamline are equivalent and the Lagrangian point of view is the same as the Eulerian approach for flow visualization.
		In an irrotational flow, the usual case considered for airflow approaching an aircraft, the total pressure is the same constant value everywhere as shown in
		is constant everywhere in the flow (assuming irrotational flow).
	history.nasa.gov /SP-367/chapt3.htm (7698 words)

	Flight 101 - Fluid Flow - free Suite101.com course
		As the airflow passes about the airfoil section, it remains irrotational if zero viscosity is assumed.
		In real life, viscosity effects are limited to a small region near the surface of the airfoil and in its wake.
		In an irrotational flow, the usual case considered for airflow approaching an aircraft, the total pressure is the same constant value everywhere.
	www.suite101.com /lesson.cfm/17507/802?l=4 (1241 words)

	Equilibrium configurations in the dynamics of irrotational dust matter
		Irrotational dust solutions of Einstein's equations are suitable models to describe the general-relativistic aspects of the gravitational instability mechanism for the formation of cosmic structures.
		In this paper we study their state space by considering the local initial-value problem formulated in the covariant fluid approach.
		We consider a wide range of models, from homogeneous and isotropic to highly inhomogeneous irrotational dust models, showing how they constitute equilibrium configurations (invariant sets) of the dynamics.
	stacks.iop.org /0264-9381/18/4779 (270 words)

	sm311o_13.html (Site not responding. Last check: 2007-10-01)
		(4) compute the circulation of an irrotational fluid about a closed curve (which is zero).
		This tells represents the velocity field of a fluid which (as we will see) is both irrotational and incompressible.
		Finally, we shall see that the circulation of v(x,y) is 0 about a particular path C. This is consistent with the fact that v(x,y) is irrotational.
	web.usna.navy.mil /~wdj/sm311o_13.htm (441 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		In this contribution, it is shown that the generalized scattering matrix method which is well-known for the computation of the resonance modes can also be applied to the calculation of the irrotational electric and magnetic eigenfunctions.
		The irrotational eigenfunctions are computed for some circularly symmetrical structures.
		It is demonstrated that the accuracy and the numerical efficiency of the modal expansion of the cavity field in the source region is improved if these eigenfunctions are included in the analysis.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=64608 (317 words)

	Questions for Math 497C (Site not responding. Last check: 2007-10-01)
		Prove that the only incompressible irrotational flow in a bounded domain is the zero flow.
		For the general case of a bounded domain with nonzero normal velocity on its boundaries (moving boundaries), prove that any incompressible irrotational flow is unique.
		Establish the relation between differentiable functions in the complex plane C and incompressible irrotational flow in R^2 by showing that 1) differentiability in C implies the Cauchy-Riemann equations, and 2) the incompressible and irrotational conditions also lead to the Cauchy-Riemann equations.
	www.math.psu.edu /belmonte/MASS/exam.html (310 words)

	Inviscid Flow Past A Stationary Sphere -- from Mathematica Information Center
		This solution is a nice example of how for an inviscid flow (the idealized limit of a very high Reynolds number flow), the flow field can be computed even though the governing Euler equations are nonlinear.
		This is because the flow can be considered irrotational (vorticity=0) so that the flow field can be defined as the gradient of a scalar potential function.
		Such a formulation should give useful results for high reynolds number flows away from boundaries where vorticity is produced.
	library.wolfram.com /infocenter/MathSource/442 (181 words)

	Glossary of Fluid Mechanics Terms
		An irrotational fluid flow is one whose streamlines never loop back on themselves.
		Of course, a uniform viscid fluid flow without boundaries is also irrotational, but this is a special (and boring!) case.
		An organized flow field that can be described with streamlines.
	www.efunda.com /formulae/fluids/glossary.cfm?ref=incomp (520 words)

	An explicit unconditionally stable numerical solution of the advection problem in irrotational flow fields
		The proposed methodology has the following properties: (1) it guarantees local and global mass conservation, (2) it is unconditionally stable, and (3) it applies second-order approximation of the concentration and its fluxes inside each element.
		Limitation of the procedure to irrotational flow fields, for the 2-D and 3-D cases, is discussed.
		The results of three 1-D and 2-D literature tests are compared with those obtained using other techniques.
	www.agu.org /pubs/crossref/2004/2003WR002646.shtml (275 words)

	Lecture 3.1 July 15, 16 1996 (Site not responding. Last check: 2007-10-01)
		irrotational) so that only two terms remain in the continuity
		Clearly, if the flow were irrotational then psi satisfies
		If the flow is not irrotational, we have a general
	www-acs.ucsd.edu /~ir118/lecture.3.1.html (1814 words)

	Compressible isotropic strain energies that support universal irrotational finite deformations -- Carroll 58 (4): 601 ...
		Compressible isotropic strain energies that support universal irrotational finite deformations -- Carroll 58 (4): 601 -- The Quarterly Journal of Mechanics and Applied Mathematics
		Compressible isotropic strain energies that support universal irrotational finite deformations
		of strain energies that support universal irrotational deformations.
	qjmam.oxfordjournals.org /cgi/content/short/58/4/601?rss=1 (214 words)

	Citebase - Equilibrium configurations in the dynamics of irrotational dust matter (Site not responding. Last check: 2007-10-01)
		Citebase - Equilibrium configurations in the dynamics of irrotational dust matter
		Equilibrium configurations in the dynamics of irrotational dust matter
		Authors: Sopuerta, Carlos F. Irrotational dust solutions of Einstein's equations are suitable models to describe the general-relativistic aspects of the gravitational instability mechanism for the formation of cosmic structures.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:gr-qc/0110025 (168 words)

	RAND \| Papers \| On Conformally Related Metric Spaces One of Which Admits an Irrotational Isometry.
		On Conformally Related Metric Spaces One of Which Admits an Irrotational Isometry.
		For fax or mail orders, use the normal cover pricing and this PDF form.
		RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.
	www.rand.org /pubs/papers/P3019 (230 words)

	Diagnostics Animations for Hurricane Alex (2004)
		850 hPa Velocity Potential and Irrotational Winds (genesis)
		700 hPa Velocity Potential and Irrotational Winds (genesis)
		500 hPa Velocity Potential and Irrotational Winds (genesis)
	www.atmos.albany.edu /facstaff/rmctc/alex (429 words)

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