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
Visit us on the Web
Follow me on Twitter
Like us on Facebook

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 CoolersCold GunsAdjustable Spot CoolersMini Coolers, and Vortex Tubes all operate off of this same principle.

Image
Image

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

Send me an Email
Find us on the Web 
Like us on Facebook
Twitter: @EXAIR_JS

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 )

What Do Air Amplifiers Amplify, and Why Is It Important?

The word “amplifier” can mean some very different things, depending on the context in which it’s used. A musician may plug an instrument into an amplifier to increase the sound power being put out by said instrument. Folks who work with electronic or electrical systems use devices to amplify voltage (at the cost of current) or current (at the cost of voltage.)

In pneumatics and fluid power, there are even two very different devices called an ‘air amplifier.’ One is made to amplify the downstream pressure by using air flow and are commonly known as pressure boosters (we don’t have those), and the other amplifies the flow, proportionally to the supply pressure (THOSE are ours).

EXAIR Air Amplifiers use a small amount of compressed air to create a tremendous amount of air flow.

So that, dear reader, handles the question of what they amplify – now let’s cover why it’s important:

  • Lower cost of operation: Like the picture above says, Air Amplifiers use a small amount of compressed air, but make a tremendous amount of total developed air flow. This is a feature of our entire line of air blowing products – they’re ALL designed to consume as little compressed air as possible, and develop as much flow as possible. The less you use, the less it costs to operate…use the calculator on our website if you want to find out how much you can save.
  • Sound reduction: The discharge of compressed air into the open creates a LOT of noise, but the air entrained by our Air Amplifiers (and Air Knives & Air Nozzles) creates a low velocity boundary layer around the primary high velocity, laminar air flow. This boundary layer serves as an insulating shield, of sorts, and it results in dramatically quieter operation.
  • High ventilation rate: Because they entrain so much air from the surrounding environment, they can be used for rapid removal of fumes, smoke, airborne dust, etc. from spaces. And they’re going to do it quicker than standard Venturi or ejector devices.
Model 120024 4″ Super Air Amplifiers are commonly used to exhaust welding smoke and fumes.

That’s it for the “what they do” and “why it’s important” – if you’d like to find out how valuable an Air Amplifier can be, give me a call.

Russ Bowman, CCASS

Application Engineer
Visit us on the Web
Follow me on Twitter
Like us on Facebook

So, You Want To Calculate Line Vac Flow… Or Do You?

As an EXAIR Application Engineer (and one with almost 14 years under my belt, to boot), I’m well versed in all the standard calculations regarding compressed air, including: converting ACFM or ICFM to SCFM, determining compressed air consumption rates at different inlet pressures, return on investment from using more efficient products, receiver tank sizing, and cost of compressed air generation. I know many formulas, by heart, that relate to certain applications involving our products, like how to calculate the heat load for Cabinet Cooler Systems, the amount of air flow from a Super Air Nozzle, Super Air Knife, Air Amplifier, etc., to cool an object from a starting to a desired temperature (and how long it’ll take to do it), and humidity formulas for Atomizing Spray Nozzle applications.

I’ve loved math all my life, so all that stuff above is one of my favorite parts of this job. There are, however, things we can’t do the math on…and calculating the flow through a Line Vac is one of them. Maybe two. I say “Maybe two” because there are two common questions we get regarding Line Vacs, and neither have answers that can be calculated:

  • How fast can I move [insert description of bulk material here] with a Line Vac?
  • How much air flow is generated by a Line Vac?

There are a LOT of variables that can affect conveyance rate, so the first question is difficult to put a number on, unless it’s something we’ve tested here before, or if a customer has provided reliable data from their Line Vac conveyor setup. For our latest Catalog, #35, we compiled this into a Conveyance Data table. You can access it here (registration required), request your very own print copy, or just contact me, and I’ll email it to you.

Likewise, the second question doesn’t have a mathematical formula to give us an answer either. When we get questions about a Line Vac’s total developed air flow, we’ll say that, very generally speaking, a Line Vac will entrain 2-3 times its compressed air consumption in vacuum flow. That’s based on some informal testing we’ve done in the shop on a few specific Line Vacs. And that’s ALWAYS followed up with some questions of our own:

  • Are you looking for a specific amount of air flow? And,
  • What is the nature of the application?

Oftentimes, we find out that the customer just needs to move air – as opposed to conveying bulk product – and THAT’S a job for our Air Amplifiers. We DO publish formal performance data on those, and if air movement is all that’s needed, the Air Amplifiers are going to do that WAY more efficiently than a Line Vac. They’re capable of entraining air at rates of up to 25:1.

Air Amplifiers use the Coanda Effect to generate high flow with low consumption.

If you have questions about a potential application, or about a specific product, give me a call. I’m here to make sure you get the most out of our products, and that starts right at the beginning, with finding the best one to suit your needs.

Russ Bowman, CCASS

Application Engineer
Visit us on the Web
Follow me on Twitter
Like us on Facebook