Wingtip vortices. Helmholtz's theorems are now generally proven with reference to Kelvin's circulation theorem. However Helmholtz's theorems were published...

optics Helmholtz theorem (classical mechanics) Helmholtz's theorems in fluid mechanics Helmholtz minimum dissipation theorem Helmholtz–Thévenin theorem This...

hydrodynamic basic equations in 1858, which was part of his research on the Helmholtz's theorems describing the motion of fluid in the vicinity of vortex lines. Their...

the theorem. Helmholtz's earlier formulation of the problem reflects a more general approach that is closer to physics. In his 1853 paper, Helmholtz was...

several contributions, including Helmholtz's theorems for vortex dynamics in inviscid fluids. 1889 copy of Helmholtz's "Über die Erhaltung der Kraft",...

limiting case of a vortex tube with zero diameter. According to Helmholtz's theorems, a vortex line cannot start or end in the fluid – except momentarily...

classical mechanics and fluid dynamics it is called Helmholtz's theorem. Theorem 2-1 (Helmholtz's theorem in fluid dynamics).: 142  Let U ⊆ R 3 {\displaystyle...

This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures...

boundary velocities: this is known as the Helmholtz minimum dissipation theorem. The Lorentz reciprocal theorem states a relationship between two Stokes...

The Helmholtz theorem of classical mechanics reads as follows: Let H ( x , p ; V ) = K ( p ) + φ ( x ; V ) {\displaystyle H(x,p;V)=K(p)+\varphi (x;V)}...

In fluid mechanics, Helmholtz minimum dissipation theorem (named after Hermann von Helmholtz who published it in 1868) states that the steady Stokes flow...

should be capable of supporting such stable vortices. According to Helmholtz’s theorems, these vortices would correspond to different kinds of knot. Thomson...

\mathrm {d} S} Bernoulli's principle Euler equations (fluid dynamics) Helmholtz's theorems Thermomagnetic convection Kundu, P and Cohen, I: Fluid Mechanics...

_{a}^{b}g(x)\,dx.} There are various slightly different theorems called the second mean value theorem for definite integrals. A commonly found version is...

Hohenberg–Kohn theorem Quantum mechanics Pierre Hohenberg and Walter Kohn Helmholtz's theorems Helmholtz theorem Helmholtz free energy Helmholtz decomposition...

of the body force. This result follows from the Helmholtz theorem (also known as the fundamental theorem of vector calculus). The first equation is a pressureless...

Helmholtz reciprocity Helmholtz resonance Helmholtz theorem (classical mechanics) Generalized Helmholtz theorem Helmholtz's theorems Helmholtz–Kohlrausch effect...

governing adiabatic and inviscid flow Relativistic Euler equations Helmholtz's theorems – 3D motion of fluid near vortex lines Kirchhoff equations – Motion...

Aspect ratio (wing) Chemtrail conspiracy theory Crow instability Helmholtz's theorems Horseshoe vortex Lift-induced drag V formation Vortex Wake turbulence...

corresponding conservation law. This is the first of two theorems (see Noether's second theorem) published by the mathematician Emmy Noether in 1918. The...

Pierre Hohenberg in the framework of the two Hohenberg–Kohn theorems (HK). The original HK theorems held only for non-degenerate ground states in the absence...

zero divergence). It is a consequence of Helmholtz's theorems (or equivalently, of Kelvin's circulation theorem) that in an inviscid fluid the 'strength'...

used for refrigeration in industrial processes. Balancing machine Helmholtz's theorems Rotordynamics Segner wheel Turbofan Turboprop Turboshaft Turbine–electric...

Publications, Inc., New York ISBN 0-486-60541-8 Helmholtz's theorems Kutta condition Kutta–Joukowski theorem Prandtl's lifting-line model Trailing vortices...

D. (The equivalence of 1 and 3 is also known as (one aspect of) Helmholtz's theorem.) The term conservative force comes from the fact that when a conservative...

Appendix A: Vector Calculus in Curvilinear Coordinates Appendix B: The Helmholtz Theorem Appendix C: Units Index Paul D. Scholten, a professor at Miami University...

In thermodynamics, the Helmholtz free energy (or Helmholtz energy) is a thermodynamic potential that measures the useful work obtainable from a closed...

all equal, but when the craft is in motion, they vary with y. By Helmholtz's theorems, the generation of spatially-varying circulation must correspond...

The Kirchhoff–Helmholtz integral combines the Helmholtz equation with the Kirchhoff integral theorem to produce a method applicable to acoustics, seismology...

Integral Theorems of Vector Analysis". Vector calculus (5th ed.). New York: W.H. Freeman. pp. 518–608. ISBN 978-0-7167-4992-9. Green's Theorem on MathWorld...