It’s a familiar refrain for many children learning math in school: “Why do we need to know this stuff?” Dr. Richard McLaughlin, a mathematics professor at UNC Chapel Hill, answered that question at the July Current Science Forum. Speaking to a sizeable crowd, Dr. McLaughlin showed how a team of researchers at UNC are using math to tackle important questions related to a topic which has captured international attention since April: the Deepwater Horizon oil spill.
One of those questions centers on the issue of underwater plumes: we can see the oil slick on the water surface, but is it possible that there is an even greater amount of oil underwater? Dr. McLaughlin and Dr. Roberto Camassa, also at UNC, are using the science of fluid dynamics to shed some light on this. The Gulf of Mexico, like most large bodies of water, does not have a uniform density, Dr. McLaughlin explained. The oil shooting out from the damaged pipe is hot, and coming out at high pressure. Using a water tank, Dr. McLaughlin demonstrated how such conditions may create a cloud of oil trapped beneath the surface of the gulf.
Next Dr. McLaughlin showed how his team is taking a simple mathematical idea – the parabolic formula – and using it to estimate how many barrels of oil are escaping from the leak each day. The team is using the BP Spill Cameras to fit a parabolic curve onto the leak, then applying mathematical formulas to obtain a flow rate. Using this method, they estimated the flow rate to be around 70-80,000 barrels per day – a number that is far higher than BP’s initial estimates and similar to the latest government-released figures.
If you missed the forum, you can still watch the water tank demonstration and an interview that Dr. McLaughlin and Dr. Camassa gave on a KBZK newscast - both are available on YouTube. Stay tuned to the Morehead Planetarium and Science Center homepage for information about upcoming Current Science Forum events.
Casey Rawson is the Science Content Developer for Science 360.