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Tech News in Hindi. In general, vortex tubes are nested around the axis of rotation.

The axis itself is one of the vortex lines, a 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, in non-steady flow, while the vortex is forming or dissipating.

In general, vortex lines in particular, the axis line are either closed loops or end at the boundary of the fluid. A whirlpool is an example of the latter, namely a vortex in a body of water whose axis ends at the free surface. A vortex tube whose vortex lines are all closed will be a closed torus -like surface.


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A newly created vortex will promptly extend and bend so as to eliminate any open-ended vortex lines. For example, when an airplane engine is started, a vortex usually forms ahead of each propeller , or the turbofan of each jet engine. One end of the vortex line is attached to the engine, while the other end usually stretches out and bends until it reaches the ground. When vortices are made visible by smoke or ink trails, they may seem to have spiral pathlines or streamlines.

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However, this appearance is often an illusion and the fluid particles are moving in closed paths. The spiral streaks that are taken to be streamlines are in fact clouds of the marker fluid that originally spanned several vortex tubes and were stretched into spiral shapes by the non-uniform flow velocity distribution. The fluid motion in a vortex creates a dynamic pressure in addition to any hydrostatic pressure that is lowest in the core region, closest to the axis, and increases as one moves away from it, in accordance with Bernoulli's Principle. One can say that it is the gradient of this pressure that forces the fluid to follow a curved path around the axis.

In a rigid-body vortex flow of a fluid with constant density , the dynamic pressure is proportional to the square of the distance r from the axis. In a constant gravity field, the free surface of the liquid, if present, is a concave paraboloid. This formula provides another constraint for the extent of the core, since the pressure cannot be negative. The free surface if present dips sharply near the axis line, with depth inversely proportional to r 2.

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The shape formed by the free surface is called a hyperboloid , or " Gabriel's Horn " by Evangelista Torricelli. The core of a vortex in air is sometimes visible because of a plume of water vapor caused by condensation in the low pressure and low temperature of the core; the spout of a tornado is an example.

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When a vortex line ends at a boundary surface, the reduced pressure may also draw matter from that surface into the core. For example, a dust devil is a column of dust picked up by the core of an air vortex attached to the ground. A vortex that ends at the free surface of a body of water like the whirlpool that often forms over a bathtub drain may draw a column of air down the core.

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The forward vortex extending from a jet engine of a parked airplane can suck water and small stones into the core and then into the engine. The vortices that you create becomes more stable after you stop shaking the container because as you shake the forces acting on the whole fluid are uneven. When you stop shaking the cup or put it down on a surface, the vortex is able to evenly distribute force to the liquid.

Vortices need not be steady-state features; they can move and change shape. In a moving vortex, the particle paths are not closed, but are open, loopy curves like helices and cycloids.

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A vortex flow might also be combined with a radial or axial flow pattern. In that case the streamlines and pathlines are not closed curves but spirals or helices, respectively. This is the case in tornadoes and in drain whirlpools. A vortex with helical streamlines is said to be solenoidal. As long as the effects of viscosity and diffusion are negligible, the fluid in a moving vortex is carried along with it.