Further examples thumb|The visible core of a vortex formed when a C-17 uses high engine power at slow speed on a wet runway. thumb|Kármán vortex streets formed off the island of Tristan da Cunha In the hydrodynamic interpretation of the behaviour of electromagnetic fields, the acceleration of electric fluid in a particular direction creates a positive vortex of magnetic fluid. This in turn creates around itself a corresponding negative vortex of electric fluid. Exact solutions to classical nonlinear magnetic equations include the Landau–Lifshitz equation, the continuum Heisenberg model, the Ishimori equation, and the nonlinear Schrödinger equation. Vortex rings are torus-shaped vortices where the axis of rotation is a continuous closed curve. Smoke rings and bubble rings are two well-known examples. The lifting force of aircraft wings, propeller blades, sails, and other airfoils can be explained by the creation of a vortex superimposed on the flow of air past the wing. Aerodynamic drag can be explained in large part by the formation of vortices in the surrounding fluid that carry away energy from the moving body. Large whirlpools can be produced by ocean tides in certain straits or bays. Examples are Charybdis of classical mythology in the Straits of Messina, Italy; the Naruto whirlpools of Nankaido, Japan; and the Maelstrom at Lofoten, Norway. Vortices in the Earth's atmosphere are important phenomena for meteorology. They include mesocyclones on the scale of a few miles, tornadoes, waterspouts, and hurricanes. These vortices are often driven by temperature and humidity variations with altitude. The sense of rotation of hurricanes is influenced by the Earth's rotation. Another example is the Polar vortex, a persistent, large-scale cyclone centered near the Earth's poles, in the middle and upper troposphere and the stratosphere. Vortices are prominent features of the atmospheres of other planets. They include the permanent Great Red Spot on Jupiter, the intermittent Great Dark Spot on Neptune, the polar vortices of Venus, the Martian dust devils and the North Polar Hexagon of Saturn. Sunspots are dark regions on the Sun's visible surface (photosphere) marked by a lower temperature than its surroundings, and intense magnetic activity. The accretion disks of black holes and other massive gravitational sources. Taylor–Couette flow occurs in a fluid between two nested cylinders, one rotating, the other fixed.
Further examples thumb|The visible core of a vortex formed when a C-17 uses high engine power at slow speed on a wet runway. thumb|Kármán vortex streets formed off the island of Tristan da Cunha In the hydrodynamic interpretation of the behaviour of electromagnetic fields, the acceleration of electric fluid in a particular direction creates a positive vortex of magnetic fluid. This in turn creates around itself a corresponding negative vortex of electric fluid. Exact solutions to classical nonlinear magnetic equations include the Landau–Lifs,hitz equation, the continuum Heisenberg model, the Ishimori equation, and the nonlinear Schrödinger equation. Vortex rings are torus-shaped vortices where the axis of rotation is a continuous closed curve. Smoke rings and bubble rings are two well-known examples. The lifting force of aircraft wings, propeller blades, sails, and other airfoils can be explained by the creation of a vortex superimposed on the flow of air past the wing. Aerodynamic drag can be explained in large part by the formation of vortices in the surrounding fluid that carry away energy from the moving body. Large whirlpools can be produced by ocean tides in certain straits or bays. Examples are Charybdis of classical mythology in the Straits of Messina, Italy; the Naruto whirlpools of Nankaido, Japan; and the Maelstrom at Lofoten, Norway. Vortices in the Earth's atmosphere are important phenomena for meteorology. They include mesocyclones on the scale of a few miles, tornadoes, waterspouts, and hurricanes. These vortices are often driven by temperature and humidity variations with altitude. The sense of rotation of hurricanes is influenced by the Earth's rotation. Another example is the Polar vortex, a persistent, large-scale cyclone centered near the Ea:rth's poles, in the middle and upper troposphere and the stratosphere. Vortices are prominent features of the atmospheres of other planets. They include the permanent Great Red Spot on Jupiter, the intermittent Great Dark Spot on Neptune, the polar vortices of Venus, the Martian dust devils and the North Polar Hexagon of Saturn. Sunspots are dark regions on the Sun's visible surface (photosphere) marked by a lower temperature than its surroundings, and intense magnetic activity. The accretion disks of black holes and other massive gravitational sources. Taylor–Couette flow occurs in a fluid between two nested cylinders, one rotating, the other fixed.