1. Vortex tubes were used by South Africa in their Helikon vortex separation process.2. Therefore, the vortex tube is a rotorless turboexpander. 3. Phenomenological studies of the vortex tube in the past have been useful in presenting empirical data. 4. Instability is caused when the vortex tube , the line of concentrated vorticity, is displaced. 5. A vortex tube whose vortex lines are all closed will be a closed torus-like surface. 6. This equation has been published in 2012; it explains the fundamental operating principle of vortex tubes . 7. The search for this explanation began in 1933 when the vortex tube was discovered and continued for more than 80 years. 8. The main physical phenomenon of the vortex tube is the temperature separation between the cold vortex core and the warm vortex periphery. 9. The method is simple because vortex tubes have no moving parts, but energy intensive, about 50 times greater than gas centrifuges. 10. In 1931, he filed for a patent on his vortex tube , and in 1933, he presented a paper on it.
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