Vortex Tube Theory

Vortex Tube theory is one of the more interesting accidental inventions of the 20th Century…splitting a flow of air into two streams: one hot, and one cold.  Georges Ranque happened upon the phenomenon in the 1930s. He patented it in 1933, but it wasn’t commercially viable at the time. In the 1940s, it caught the interest of German physicist Rudolph Hilsch, who “tweaked” Ranque’s design and published a widely read paper on it in 1947. Over the next few decades, the use of compressed air became more prevalent in a wide range of industries, eventually becoming the “4th utility” that it’s known as today. With that increase in use came improvements in air compressor design & function – improvements that finally bestowed long-awaited commercial viability on the Vortex Tube.

From Ranque’s curious observation of a previously unknown physical phenomenon, to mass production & worldwide use, the Vortex Tube is truly a marvel of 20th Century technological advances.

So, how does it work? Ranque’s patent and Hilsch’s paper both detail what it is and what it does, but to this day, nobody’s been able to offer any 100% scientific proof as to HOW it does what it does. The commonly accepted explanation involves a proven scientific principle called conservation of angular momentum. That’s a mouthful, so let’s break it down:

Momentum is a physical property of matter, defined by its mass and velocity…and it depends on both. Something with more mass will have more momentum than something with less mass, if their velocities are the same. And something moving at a higher velocity will have more momentum than something that’s moving slower, as long as their masses are the same. Unless otherwise specified, “momentum” is usually considered to be linear – the matter is moving in one direction.

Angular momentum is also defined by mass and velocity, but its value is also affected by rotational inertia, which is determined by the distribution of its mass around the center point of its rotation. If an object moving at a certain velocity is forced closer to its rotational center point, it has to speed up to maintain (or conserve) angular momentum. Physics really, really, (really) wants to make that happen, according to the laws of conservation of matter & energy. And physics ALWAYS obeys the law…which forces us to as well.

Consider figure skaters doing those dizzying moves where they spin on the ice on one skate. If the skater spins with their arms straight out and then brings their arms in, close to their body, they begin to spin faster. The skater’s mass doesn’t change, but their mass distribution around the rotational center point does…so physics gets its way by increasing the velocity. Therefore, energy (angular momentum, in this case) is conserved. It’s impressive how easy some of them make it look:

In a Vortex Tube, the airflow is discharged tangentially into the tube, making it spin inside the inner wall of the tube at a specific velocity. When it reaches the end of the tube, it’s forced to change directions and continue spinning inside that outer spinning flow, but in the opposite direction. Unlike our figure skater in the example above, though, its velocity doesn’t change. Something has to, though, because physics ALWAYS gets its way. Since the energy of its angular momentum HAS to be conserved, that energy gets converted into heat, which transfers from the outer spinning flow and exits the vortex tube’s “hot” end. When it does so, the temperature of the remaining, inner spinning air flow goes down.

Just a few examples of how EXAIR Vortex Tubes are used in industry.

That’s our story, anyway, and we’re sticking to it. In any case, it works, and it works quite well. If you’d like to find out more, give me a call.

Russ Bowman, CCASS

Application Engineer
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Rudolf Hilsch and How the Ranque-Hilsch Vortex Tube Came To Be

The exact beginnings of the device remain unclear. It is believed that a French inventor, Georges Ranque, stumbled upon the principle and abandoned some initial prototypes in the wake of the German Army during France’s occupation. These prototypes caught the attention of Rudolf Hilsch, a German physicist engaged in developing low-temperature refrigeration systems for the war effort. Hilsch enhanced the original design but discovered that it did not outperform traditional refrigeration techniques in reaching relatively low temperatures. Eventually, the device became recognized as the Hilsch tube.

The Original drawing from Rudolf Hilsche’s 1947 Publication.

The Hilsch tube was assembled using a pair of modified nuts along with various other components. The horizontal section of the T-shaped fitting features a uniquely machined element that fits snugly within the arm. This element has a spiral cross-section on the inside, contrasting with its outer shape. At the “step” of the spiral, there is a small opening that connects to the T’s leg. When air enters through the leg, it exits through this opening and spirals around the one-turn design. The “hot” pipe measured approximately 14 inches in length and had a half-inch internal diameter. Its far end is equipped with a stopcock to regulate the system’s pressure. Meanwhile, the “cold” pipe is about four inches long, also with a half-inch internal diameter. The end that connects to the spiral piece has a washer with a central hole of around a quarter of an inch in diameter. Additionally, washers with varying hole sizes can be used to fine-tune the system.

With EXAIR’s vortex tube, compressed air is supplied into the tube where it passes through a set of nozzles that are tangent to the internal counter-bore. The design of the nozzles forces the air to spin in a vortex motion at speeds up to 1,000,000 RPM. The spinning air turns 90° where a valve at one end allows some warmed air to escape. What does not escape, heads back down the tube into the inner stream where it loses heat and exhausts through the other end as cold air.

How a Vortex Tube Works

Both streams rotate in the same direction and at the same angular velocity. Due to the principle of conservation of angular momentum, the rotational speed of the inner vortex should increase. However, that’s not the case with the Vortex Tube. The best way to illustrate this is with Olympic Figure Skating. As the skater is wider, the spinning motion is much slower. As she decreases her overall radius, the velocity picks up dramatically and she spins much quicker. In a Vortex Tube, the speed of the inner vortex remains the same as it has lost angular momentum. The energy that is lost in this process is given off in the form of heat that has been exhausted from the hot side of the tube. This loss of heat allows the inner vortex to be cooled, where it can be ducted and applied for a variety of industrial applications.

This Vortex Tube theory is utilized in basic Vortex Tubes, along with a variety of other products that have additional features specific for your application. EXAIR’s line of Cabinet Coolers, Cold Guns, Adjustable Spot Coolers, Mini Coolers, and Vortex Tubes all operate off of this same principle.

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EXAIR HazLoc Cabinet Cooler Systems provide safe and reliable

If you’re fascinated by this product and want to give it a try, EXAIR offers an unconditional 30-day guarantee. We have them all in stock and ready to ship as well, the same day with an order received by 2:00 ET. Feel free to get in contact with us if you’d like to discuss how a vortex-based product could help you in your processes.

Jordan Shouse
Application Engineer

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Rudolf Hilsche’s Publication Drawing provided by Die Zeitschrift fĂĽr Naturforschung

(Photo Link https://zfn.mpdl.mpg.de/data/1/ZfN-1946-1-0208.pdf )

Video Blog: The Effects of Back Pressure On A Vortex Tube

The video below is one that I have explained to customers countless times over my tenure here at EXAIR. Vortex Tubes are most efficient when discharging the cold and hot air streams into atmospheric conditions. This video is my attempt to showcase just how much it will affect your performance when a restriction on the discharge cannot be avoided.

If you would like to discuss Vortex Tubes and their feasibility in your application, feel free to contact an Application Engineer today!

Brian Farno, MBA – CCASS
National Business Development Manager

BrianFarno@EXAIR.com
@EXAIR_BF

Clerk Maxwell: The Man, the Myth, the Demon

Thermodynamics is a branch of physics that focuses on heat and energy. It studies how these forms of energy move and change within a system. An isolated system is a key concept in thermodynamics; it is a space that does not interact with anything outside of it. This means that no heat or energy can enter or leave a system. Understanding these principles helps scientists and engineers design better machines and improve energy efficiency.

The unique physical phenomenon of the Vortex Tube principle generates cold air instantly, and for as long – or short – a time as needed.

Maxwell’s demon is a thought experiment created by the mathematician James Clerk Maxwell. This imaginary being has the ability to see fast and slow-moving molecules in a gas. By sorting these molecules, the demon could supposedly create a situation where one side of the container is hot, and the other side is cold, without using energy. This idea challenges the second law of thermodynamics, which states that systems tend to move towards disorder. Maxwell’s demon shows that there are limits to our understanding of energy and order in the universe.

How a Vortex Tube Works

Maxwell’s demon is a molecule-sized trapdoor that separates a box of gas into two sides. The demon observes molecules and only allows fast-moving molecules to pass through to one side, and only slow-moving molecules to pass through to the other side. This would cause the temperature inside the container to increase without any work being applied, which would violate the second law of thermodynamics.

The cold air from the Vortex Tube (dark blue arrow) is aimed directly at the inlet plenum of the Air Amplifier. As it draws in environmental air (at ambient temperature, pale curved arrows), the Air Amplifier discharges cool air (light blue arrow) at the desired temperature.

The Vortex Tube by EXAIR is a product that demonstrates this theory to its fullest extent. Using an ordinary supply of compressed air as a power source, Vortex Tubes create two streams of air, one hot and one cold, with no moving parts. Vortex Tubes offer a temperature range between -50F to +260F, with flow rates ranging from 1 to 150 SCFM. EXIAR Vortex Tubes are constructed of stainless steel, which offers resistance to corrosion and oxidation, and will provide years of reliable, maintenance-free operation.

If you would like to discuss the Vortex Tube, please do not hesitate to contact an Application Engineer. We are always happy to help!

Jason Kirby
Application Engineer
Email: jasonkirby@exair.com
Twitter: @EXAIR_jk