


For example, water droplets can have entirely different characteristics in two faucets that have exactly the same flow rate, depending on whether those faucets are being turned up or down. The engineers also discovered that the formation of droplets changes dramatically, depending on whether the flow is being increased or decreased. The Purdue engineers were the first to compute the mathematics behind period doubling. Instead, every other drop, or every fourth drop, is the same size, depending on how fast the liquid is being sprayed. One problem plaguing such processes is a phenomenon called "period doubling," in which the droplets coming out of a nozzle are not always the same size. Companies could more efficiently manufacture photographic films, adhesive tapes and analytical devices that are made by applying DNA-laden liquids onto "gene chips." The field of combinatorial chemistry, in which thousands of experiments are carried out simultaneously to speed up the discovery of new drugs and other products, depends on equipment that rapidly deposits precisely the same quantity of liquid over and over again into separate vessels. The quality of inkjet printers could be improved by better controlling ink flow. Learning more about the behavior of drop formation is critical to improving many industrial processes in which a liquid is sprayed through a nozzle. 18 issue of Physical Review Letters, a journal published by The American Physical Society. Research that would take months with conventional techniques now can be performed within hours, said Osman Basaran, a professor of chemical engineering.Ī research paper about the work appeared in the Dec.

The new mathematical method drastically speeds up the time it takes to calculate the behavior of how drops form as they come out of a nozzle or faucet. Purdue engineers are the first to figure out the mathematics behind a problem plaguing machines that emit drops of liquid from a nozzle, findings that have potentially broad applications, from improved inkjet printers to more precise pharmaceutical research. Mathematics of dripping faucet key to industry, researchįebruary 2001 Mathematics of dripping faucet
