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

Radiant Heat- Where Does It Come From

Even in extremely aggressive environments, EXAIR Cabinet Cooler Systems provide reliable heat protection for your sensitive electronics and controls.

The three types of heat transfer have been discussed here and there on this blog before. One of the most common heat transfer methods that I deal with on a day to day basis is radiant heat transfer. Also known as thermal radiation, the process is actually the exchange of energy by photons. The main difference separating radiant heat from convection and conduction is that radiation does not require there to be a medium to permit propagation of the heat. Any item which contains thermal energy, meaning it is above absolute zero and less than 1,000 Kelvin, will have this thermal energy. This thermal energy is radiated to other items causing a transfer of heat energy to those objects that results in an equilibrium between the items. The equilibrium does not stop the transfer of photons however.

The most common occurrence that most of us get to experience for radiant heat is heat from the Sun. As the sun shines it is emitting heat. On a hot day, generally the sun is a little closer to your geographic location and you feel hot because the sun is emitting more heat onto your surface than what is being emitted by your internal temperature, so your core temp will increase. On a cold day, when the sun is further away, while it is still shining you feel cold because the sun is not in fact transferring as much energy to the surface of your body than what you are internally generating. The same kind of radiant heat transfer can be from a campfire, open kiln, maybe even a hot steel slab coming out of a blast furnace.

The model 1126SSW 1″ Flat Stainless Steel Super Air Nozzle w/ Swivel Fitting cools a flame sensor within an industrial furnace.

Understanding where a radiant heat source is being generated can help tremendously when looking at cooling an electrical enclosure or even trying to keep a part or sensor cool. Radiant heat is one of the few times a heat shield or shade structure can help to eliminate a portion of the heat load being introduced. Other methods to combat the heat load would be determined with the application at hand. For cooling enclosures that are absorbing a solar heat load, we would look at an EXAIR Cabinet Cooler System and the factors that help to appropriately size the cooler. If this is a single component or part, we would evaluate one of the many other EXAIR Engineered Solutions to determine the best fit for the application. To do either of these, all it takes is a simple chat, email, or call to an Application Engineer.

Brian Farno
Application Engineer
BrianFarno@EXAIR.com
@EXAIR_BF

James Clerk Maxwell

When most of us think of really smart folks, names like Albert Einstein, Carl Sagan, Stephen Hawking, or Richard Feynman often pop up. It’s interesting that, when THOSE folks thought about really smart folks, one name repeatedly came to mind:

  • “Maxwell’s equations have had a greater impact on human history than any ten presidents.” – Carl Sagan
  • “From a long view of the history of mankind — seen from, say, ten thousand years from now — there can be little doubt that the most significant event of the 19th century will be judged as Maxwell’s discovery of the laws of electrodynamics.” – Richard Feynman
  • “Maxwell is the physicist’s physicist.” – Stephen Hawking
  • “The special theory of relativity owes its origins to Maxwell’s equations of the electromagnetic field.” – Albert Einstein
  • “The work of James Clerk Maxwell changed the world forever.” – Albert Einstein (again)

If you follow the EXAIR blog, you may recall that we’ve written more than a couple of entries on James Clerk Maxwell…here, here, and here, just to point out a few. We, of course, all like to point out a thought experiment that he devised regarding a potential loophole in the 2nd Law of Thermodynamics – a “friendly little demon” that could separate a theoretical chamber of gas (consisting of molecules with different kinetic energies) into two sub-chambers: one with all the faster moving (e.g., higher temperature) molecules, and another with all the slower moving (e.g., lower temperature) molecules.

Fun fact: When Maxwell first proposed this thought experiment in a letter to Lord Kelvin, he called it a “finite entity”. Lord Kelvin (much to Maxwell’s chagrin) started calling it a “demon” and the name stuck.

In what MAY be one of the grandest of coincidences in science, the work of this “finite entity” or “demon” is uncannily similar to that of one of the more interesting compressed air operated devices: the Vortex Tube:

When compressed air flow enters, a spinning motion is imparted by the Generator. When the spinning flow reaches the end of the Vortex Tube, a portion is forced to change directions and continue spinning, in the opposite direction, inside the outer spinning flow. When it does so, it gives off energy in the form of heat. The net result is, the air entering at a given temperature is separated into two distinct air streams: one hot, and one cold.

Now, us compressed air aficionados aren’t the only ones who’ve happened upon latter-day incorporations of Maxwell’s thought experiment. Information theory enthusiasts have implied a correlation with the principle of erasure, and scientists at the University of Oxford designed an experiment with a light-powered gate that seems to validate the idea (“How Maxwell’s Demon Continues to Startle Scientists”, Quanta Magazine, 4/22/2021).

I’ve been with EXAIR Corporation for just shy of eleven years now, and every time I hook up a Vortex Tube in the Efficiency Lab, I still recall the wonder of seeing one in action the first time. Considering that this is a 20th Century innovation (and the information theory & light-powered gate experiments are 21st Century), it’s equally impressive to keep in mind what else was going on in the world when Maxwell devised this thought experiment in 1867:

  • At the beginning of March, Nebraska is admitted as the 37th U.S. State. And at the end of the month, the U.S. finalizes the purchase of Alaska from Russia.
  • Alfred Nobel gets a patent for dynamite in the United Kingdom, in May.
  • The first school for dentistry, the Harvard School of Dental Medicine, opens.

And…in case you were wondering, EXAIR Application Engineers also have a list of folks they consider to be really smart folks. If you’re curious, click here.

Russ Bowman, CCASS

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

James Clerk Maxwell statue photo courtesy of trailerfullofpix & dun_deagh. Creative Commons license.

Understanding Air Entrainment

EXAIR uses the word entrainment a lot, all of our blowoff products use the principle to amplify the air stream and increase efficiency. But, what is entrainment and what causes the phenomenon? Entrainment can be defined as a fluid that is swept along into an existing moving fluid. This brings Bernoulli’s equation into the picture. When looking at specific situations and conditions Bernoulli’s equation can show some interesting significance with gases.

Bernoulli’s Equation

Bernoulli’s equation takes into account four main variables which are Pressure (P), Density (r), Velocity (v), and a height difference (z); along with a single constant for gravity. you can see the relationship between the velocity squared and the pressure from the equation above.  Being that this relationship is a constant along the streamline; when the velocity increases; the pressure has to come down. Now we have to look at how fluids like to behave. Fluids within a system like to be at a constant pressure when at the same height and reach a state of equilibrium. This means that fluids will always flow towards a low pressure area, which means that if you create a constant low pressure area you can amplify the air stream. This is the same principle as to why airplanes can fly.

EXAIR Super Air Nozzle entrainment

Since compressed air can be an expensive utility, it is good to minimize it and maximize the surrounding entrained air. Therefore we have designed our products to use this entrainment principle to amplify the air blast while using less compressed air and more entrained ambient air. Products like our Super Air Knife can see an amplification ratio (ambient air to compressed air) of up to 40:1; this means for every 1 SCFM of compressed air used we are entraining 40 SCFM of ambient air.

EXAIR’s Super Air Knife

We use this principle for our Air Amplifiers, Air Knifes, Air Nozzles and Jets, Safety Air Guns, and our Gen4 Static Eliminators. Our goal is to save you money and give you better results in the process.  

If you have questions about any of our engineered Intelligent Compressed Air® Products, feel free to contact EXAIR or any Application Engineer.

Cody Biehle
Application Engineer
EXAIR Corporation
Visit us on the Web
Follow me on Twitter
Like us on Facebook