03.17.06
Why Simulating Free-Surface Flow is Difficult, Part 2
(This is a continuation of Why Simulating Free-Surface Flow is Difficult, Part 1.)
In Part 1 of this series, I talked about why it’s difficult to do an accurate computer simulation of a single drop dripping from a faucet. That’s a very simple example of a free-surface flow, however, and many of the flows that are relevant to other scientific or engineering questions are far more complicated.
One general class of more complicated free-surface flows are “sprays”, also referred to as “spray flows” or “atomization” – a liquid is forced at relatively high pressure through a small nozzle (or set of nozzles), and when it comes out it breaks up into tiny droplets. Sprays are nearly ubiquitous in any handling of liquids; for instance, in my day-to-day life, I might take a shower in the morning (under a spray of water from the showerhead), wash the shower walls with a cleaner in a spray-bottle, use an aerosol spray can of cooking oil to oil the pan to cook my eggs in, and wash the pan using the spray attachment on my sink. My car has a fuel-injected engine, which means that there are nozzles in it that spray the fuel into the air intake. If I were to paint the (sadly rusting) hood on it, I’d use a spray can. The train that I take to work has a diesel engine; the term “diesel” means that in it the fuel is sprayed directly into the engine’s cylinder, where it burns immediately as it’s being sprayed in.
In every one of those cases, it’s important to get the spray “right”. The shower-cleaner, cooking-oil, and paint sprays need to provide an even coating on the walls without spraying any off to the sides. The shower head needs to produce rather large drops that act like rain rather than fog. The fuel injectors in my car need to produce tiny droplets that will evaporate quickly, while the ones on the diesel locomotive need to produce droplets of the right size to get to the middle of the cylinder before they burn up. Thus, it would be very useful to be able to simulate the spray that comes out of a new nozzle design, so that it can be tested and improved without needing to do costly experiments.
As an example to talk about, here’s a fairly typical spray that’s easy to photograph – water being squirted through the nozzle from a Windex® bottle. I should credit my wife for patiently helping me take the picture; it took quite a few tries before I managed to get the flash timed correctly with the spray!
(click on the photo for a larger version)
