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... Science Frontiers ONLINE No. 77: Sep-Oct 1991 Issue Contents Other pages Home Page Science Frontiers Online All Issues This Issue Sourcebook Project Sourcebook Subjects Drip, drop, drup, dr**A dripping faucet is usually conceived as a well-ordered dependable phenomenon. You simple turn the faucet a bit counterclockwise and the drip rate increases. It's so simple. Surprise! Dripping faucets are chaotic systems, as described in the following Abstract: "The dripping water faucet is a simple system which is shown in this article to be rich in examples of chaotic behavior. Data were taken for a wide range of drip rates for two different faucet nozzles and plotted as discrete time maps. Different routes to chaos, bifurcation and intermittency, are demonstrated for the different nozzles. Examples of period-1 , - 2, -3 , and -4 attractors, as well as strange attractors, are presented and correlated to the formation of drops leaving the faucet." (Dreyer, K., and Hickey, F.R .; "The Route to Chaos in a Dripping Water Faucet," American Journal of Physics, 59:619, 1991.) Comment. O.K ., so faucets dribble a bit. From Science Frontiers #77, SEP-OCT 1991 . 1991-2000 William R. Corliss ...
Terms matched: 1 - Score: 78 - 15 May 2017 - URL: /sf077/sf077p18.htm
... Science Frontiers ONLINE No. 92: Mar-Apr 1994 Issue Contents Other pages Home Page Science Frontiers Online All Issues This Issue Sourcebook Project Sourcebook Subjects Chaos At The Amusement Park Readers of Science Frontiers are well aware that some denizens of our solar system exhibit chaotic motion, as do some pendulums and even dripping faucets. Chaosists seem to be able to find chaos everywhere they look. If you have ever ridden on that amusement park staple called the Tilt-A -Whirl, you will recall that the ride is fun because you never know exactly what the car you are riding in will do as the platforms move along the hilly circular track. Each car is free to rotate about its center and will also tilt in all possible directions as the cars go up and down the hills. Can one mathematically predict whether the car will spin clockwise, counterclockwise, or not at all? What a neat problem for a physicist! And two physicists, R.L . Kautz and B.M . Huggard, have developed a mathematical model of the Tilt-A -Whirl. By integrating the equation of motion, they find that the Tilt-A -Whirl is, indeed, a chaotic system. You really cannot tell what the car is going to do -- even if you take your laptop along with you! (Kautz, R.L ., and Huggard, Bret M.; "Chaos at the Amusement Park: Dynamics of the Tilt-A -Whirl," American Journal of Physics, 62:59, 1994.) From Science Frontiers # ...
Terms matched: 1 - Score: 15 - 15 May 2017 - URL: /sf092/sf092c15.htm
... a layer of water creeps up the side of the egg. When the water is about half way up the side of the egg it breaks up into droplets and sprays out horizontally like a rotating lawn sprinkler. No mysterious forces are involved, nor are there spooky quantum mechanics effects. The major forces operating are gravity, centrifugal force, and adhesion between the egg surface and the water. As the film of water creeps up the egg, the centrifugal force increases and overcomes the force of adhesion. Then, water droplets spray outward. (Gutierrez, Gustavo, et al; "Fluid Flow up the Wall of a Spinning Egg," American Journal of Physics, 66:442, 1998.) Creating fluid corners in kitchen sinks. When a smooth column of water from your kitchen faucet hits the sink, it flows out radially. At a calculable radius, its height suddenly rises. This smooth, circular ridge is called a "hydraulic jump." Here, some of the kinetic energy of the falling water is converted into the potential energy of the deeper layer of water. Nothing particularly mysterious here. But, if a liquid more viscous than water is used, the circular ridge is transformed into a neat polygon with surprisingly sharp corners. Different flow rates create different polygons. Polygons with as many as 14 corners have been observed. Interestingly, identical flow rates can result in different stable polygons. See the referenced article for all the math. (Ellegaard, Clive, et al; "Creating Corners in Kitchen Sinks," Nature, 392:767, 1998 ...
Terms matched: 1 - Score: 14 - 15 May 2017 - URL: /sf119/sf119p13.htm