I’m going to cover two topics today, and take a dip into my engineering past by doing so:
- I’ll describe the physical property scientists call damping.
- I’ll discuss how engineers are often looking for easier ways of doing or measuring things, because we are inherently lazy, and how I did this for a case where I needed to measure damping.
Damping is a property of any system that makes it lose energy by opposing the motion of the system. It makes things slow down or wind down or lose energy.
Friction is a familiar type of damping. Shoot a hockey puck down an icy rink and it’ll keep sliding until it hits the other end (unless you’re a wuss); it’ll slow down only a bit as it goes, indicating there’s not much friction (i.e., little damping). Shoot the same puck across a sheet of sandpaper and it’ll come to a halt almost immediately because there’s a lot of friction (i.e., high damping).
The shock absorbers in your car are another familiar example of damping. Cars have a lot of mass, and their frames are suspended on springs so that your ride isn’t too rough. But if there was only the frame and springs your ride would be incredibly bouncy, and every bump would make you oscillate down the street. Thus, there are also shock absorbers in your car’s suspension to absorb and dissipate (dampen) some of that bouncy energy. If your suspension’s good, the springs will absorb the shock of a bump and then the shock absorbers will dissipate it quickly away.¹
Now on to the engineer laziness bit: when I started my Master’s degree a decade and a half ago I specialised in fluid mechanics and vibration. I was presented with a problem that I decided to tackle for my thesis: how to more easily measure the damping in heat exchanger tubes.
Let me back up. The common processes for producing electrical energy require boiling (whether by burning coal or by nuclear reactions) large quantities of water into steam and using that steam to drive turbines. This means you’ve got a loop of water that you boil into steam, condense back into liquid, and then you repeat this process over and over. This, in turn, means that you have some heat exchangers in the process. These heat exchangers are usually big banks of tubes with fluid of one temperature inside and fluid of a different temperature being blown across the tubes to heat (or cool) the first fluid.

The tubes in these heat exchangers are very long, and need to be supported (the positions of the baffles in the above image give you an idea of how this might be done). Because the metal tubes expand and contract as they heat and cool, they cannot be tightly fitted in their supports: a little gap must be left. This means that when fluid is blown across the tubes they tend to rattle around in their supports. And, unsurprisingly, the point where they’re supported is where the tubes tend to wear out most quickly, due to banging around in their supports.
So, to design good heat exchangers, or estimate the life of existing ones, you need to understand how those tubes bang around inside those supports. And to understand that you need to know a bunch of things: what the tubes are made of, how long they are, where the supports are, and what the flow conditions are. But one thing you need to know – and the most difficult thing to measure – is the damping that happens between the tube and its support.
There are several types of damping that could happen. If the fluids in the exchanger are mostly gas, then the friction damping of metal-on-metal will be most important. But if there’s liquid in the exchanger – and there often is – then you get some strange types of damping. You get viscous damping, which is like friction within the liquid (think of the difference in viscosity of water versus oil). You also get something called squeeze-film damping, which has to do with compressibility of liquid as the tube gets closer to the support.
The typical method for measuring damping is to shake the tubes, measure the resultant motions of the tubes, do a fancy frequency response analysis of the motion data,then do a complicated curve-fit of the data that you plot to calculate a parameter that corresponds to the amount of damping in the system. I did some lab experiments on a heat exchanger tube under different temperature conditions, with some heavy data acquisition and analysis programming. It was very difficult to get measurable results. The data were often very “noisy” which made it hard to plot and curve-fit. Often a non-linear analysis was needed, which took some programming skill to handle.
All that work, for results that were often impossible to measure, didn’t sit well with this lazy engineer. The point of my research was to find out if there was an easier way to measure the damping of the tube system. Discussions with my mentor had led us to believe that since damping is just the rate at which energy is dissipated it should be possible to estimate it by simply measuring the rate of energy (power) into the system and the rate of energy out (as measured by the tube banging on the supports). So, at the same time that I was measuring the motions of the tube to do my fancy frequency response analysis, I fitted it with sensors to measure the forces with which I was shaking the tube and the forces that resulted where the tube was banging around in its supports.
Surprise, surprise: it worked. The damping I estimated through a simpler energy in/out balance matched what I measured through the standard, but more complicated, frequency response method (and was more reliable since I was always able to make a measurement, which wasn’t possible with frequency response analysis).
This had, at the time, never been accomplished for heat exchanger tubes. I was pretty proud of it. The agency I worked for took this information and used it for further programmes. I don’t know what the status of my work is today, or what’s state-of-the-art in heat exchanger vibration analysis. But it illustrates that while pure science continues to push the frontiers of what we know, the applied science of engineering continues to try to make life easier with what we already know.
If you want to read the details of my thesis work, it’s available online in the government of Canada’s online collections (warning: that link is a large PDF).
¹Damping happens in electrical systems, too: resistors are electrical dampers and dissipate (in the form of heat or light) electrical energy that’s flowing through the system.