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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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

How Do I Change the Air Flow and Temperature of a Vortex Tube?

If you’re a regular reader of the EXAIR Blog, you likely know that you can get cold (and hot) air from a Vortex Tube. You probably also know that there are ways to get more or less flow, and higher or lower temperatures. Today, I wanted to write about vortex tube operation. First, let’s recall the basics:

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

To change the cold (or hot) air flow AND temperature (you can’t do one without the other), all you have to do is manipulate the Control Valve, or Hot Valve, as it’s oftentimes referred to because of its location at the ‘Hot’ end of the Vortex Tube. Essentially, as you open it, more hot air exits, meaning there’s less air to go to the ‘Cold’ end. By increasing the ‘Hot’ flow, more kinetic energy (in the form of heat) is carried away. And, since more energy (heat) is given off, the energy (heat) in the cold flow decreases as well, so you get colder air…and less of it as the hot flow increases. We can use the data in EXAIR’s Vortex Tube Specification and Performance Tables to calculate the cold (and hot) flows and temperatures at different positions of the Hot Valve. Let’s say we have a Model 3210 Vortex Tube that uses 10 SCFM when supplied at 100psig:

Let’s assume the compressed air supply temperature is 70°F and the Hot Valve is open wide enough to allow 40% of the Model 3210’s 10 SCFM (or 4 SCFM) worth of compressed air consumption out. That means that 60% (or 6 SCFM) are going to go out of the cold end. We call this condition a 60% Cold Fraction:

And, at that 60% Cold Fraction, the cold air is going to be 86°F colder than the supply of 70°F, which means that the 6 SCFM of cold flow is going to be -16°F. If the Hot Valve is opened further, to allow 5 SCFM out the hot end (and hence the other 5 SCFM will go out the cold end), that 5 SCFM of cold flow will now be 100°F colder than the 70°F supply, or -30°F. That’s as low as you can go with a 3200 Series Vortex Tube…they have a Cold Fraction range of 50-80%.

Now let’s say you want even COLDER air. You can simply replace the generator (shown to the left) in the Model 3210 to make it a 3400 Series Vortex Tube. If you replace its 10-R Generator with a 10-C Generator, you’ll now have a Model 3410, and you’ll be able to adjust your Vortex Tube to the 20-50% Cold Fraction range. The difference between R and C-style generators is the center hole size. The hole sets up proper internal pressure conditions to work better in each temperature range. In short, the generator type optimizes the temperature drop for each working condition.

You’re still working with a compressed air consumption of 10 SCFM, so, while the air gets colder, the flow decreases. At a 30% Cold Fraction, for example, you’ll get -48°F air (70°F – 118°F), but only 3 SCFM (30% of 10 SCFM) of the total flow going in.

If you need a -48°F net air temperature, but cannot accommodate such a reduction in flow, using a generator with a higher consumption rating is how you get around such an issue. If you were to replace that 10-C Generator with a 30-C, now it is a Model 3430 with triple the original flow of model 3410. Readjustment of the hot valve would be necessary to get back to a 30% Cold Fraction. That means the air flow will be the same temperature (-48°F) but it’s going to be 9 SCFM (instead of 3 SCFM.)

All you need to change the Cold Fraction of an EXAIR Vortex Tube is a flat-head screwdriver. If it’s something you’re going to be doing more frequently, our Adjustable Spot Coolers have a Temperature Control Knob that works the Hot Valve and may be a better choice for an application.

This is from the Vortex Tubes and Spot Cooling Products section of Catalog 35. The first graphic at the beginning of this blog is what you’ll find on page 200. You’re welcome.

The Adjustable Spot Coolers also come with three different generators, so you can get the different flows at the same temperature, or vice versa, as described above. If you have an application requiring cold (or hot) air flow, on demand, you’re looking for an EXAIR Vortex Tube. For help picking the right one, give me a call.

Russ Bowman, CCASS

Application Engineer
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