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References[1] Aref, H. “Stirring by Chaotic Advection.” Journal of Fluid Mechanics 143 (1984): 1-21.Print.[2] Aref, H. “Chaotic Advection of Fluid Particles.” Philosophical Transactions of the RoyalSociety A: Mathematical, Physical and Engineering Sciences 333.1631 (1990): 273-88.Print.[3] Brehm, Denise. “Mixing Fluids Efficiently in Confined Spaces? Let Viscous FingersDo the Stirring.” Department of Civil and Environmental Engineering. MassachusettsInstitute of Technology, 12 May 2011. Web. 07 Feb. 2013.[4] Cartwright, Julyan HE, Mario Feingold, and Oreste Piro. “An introduction to chaoticadvection.” NATO ASI SERIES B PHYSICS 373 (1999): 307-342.[5] Karolyi, G., and T. Tel. “Chaotic Tracer Scattering and Fractal Basin Boundaries in aBlinking Vortex-sink System.” Physics Reports 290.1-2 (1997): 125-47. Print.[6] Nugent, C. R., W. M. Quarles, and T. H. Solomon. “Experimental Studies of PatternFormation in a Reaction-Advection-Diffusion System.” Physical Review Letters 93.21(2004): Print.[7] Schilt, Ryan, Joe Adams, and Anna Lieb. “Chaotic Advection and BlinkingVortices.” University of Colorado at Boulder. Department of Applied Mathematics,Web. 21 Jan. 2013. [8] Schut, Jan H. “Novel Melt Blending Technology Commercialized in Micro- andNanolayer Films.” Plastics Technology. Apr. 2009. Web. 21 Jan. 2013.[9] Skiadas, Christos H. “Exploring and simulating chaotic advection: A difference equationsapproach.” arXiv preprint nlin/0611036 (2006).[10] Solomon, T. “Lagrangian Chaos and Multiphase Processes in Vortex Flows.” Communicationsin Nonlinear Science and Numerical Simulation 8.3-4 (2003): 239-52. Print.[11] “Stirring Simulation.” University of Colorado at Boulder. Department of Applied Mathematics,Web. 21 Jan. 2013. .[12] Zumbrunnen, D. A., S. Inamdar, O. Kwon, and P. Verma. “Chaotic Advection as aMeans to Develop Nanoscale Structures in Viscous Melts.” Nano Letters 2.10 (2002):1143-148. Print.14
8 Appendix: Code/∗B l i n k i n gmotorsListing 1: ”Blink Flow”This s c r i p t turn one ouput high , then the o t h e r with a d e l a y o f 1 second .∗/// Pin 13 has an LED connected on most Arduino boards .// g i v e i t a name :// Output pins are 4 and 12i n t out1 = 4 ;i n t out2 = 1 2 ;// i n t = 13;// the s e t u p r o u t i n e runs once when you p r e s s r e s e t :void s e t u p ( ) {// i n i t i a l i z e the d i g i t a l pin as an output .pinMode ( out1 , OUTPUT) ;pinMode ( out2 , OUTPUT) ;}// the loop r o u t i n e runs over and over again f o r e v e r :void l o o p ( ) {d i g i t a l W r i t e ( out2 ,LOW) ;d i g i t a l W r i t e ( out1 , HIGH ) ; // turn the LED on (HIGH i s the v o l t a g e l e v e l )d e l a y ( 3 0 0 0 0 ) ; // wait f o r 10 secondsd i g i t a l W r i t e ( out1 , LOW) ; // turn the LED o f f by making the v o l t a g e LOWd i g i t a l W r i t e ( out2 , HIGH ) ;d e l a y ( 3 0 0 0 0 ) ; // wait f o r 10 seconds}Listing 2: ”Read Speed from Sensor”/∗ Read Analog Voltage o f one motor and p r i n t s frequency o fs i g n a l from analog i n p u t to s e r i a l v i a MegunoLink∗/// d i g i t a l output pins o f the two DC motor r e l a y c o n t r o l si n t motor1 = 4 ;i n t motor2 = 1 2 ;// middle o f v o l t a g e s i g n a l f o r frequency readingi n t t h r e s h o l d = 3 5 ;15
Page 1 and 2: PHY492: Final ReportChaotic Advecti
Page 3 and 4: 3 TheoryThe blinking vortex system
Page 5 and 6: These glass rods were fully immerse
Page 7 and 8: Figure 4: A periodic function passe
Page 9 and 10: Figure 8: Data or particle traced o
Page 11 and 12: 80ForwardReverse60x-Position (mm)40
Page 13: 7 Results and ConclusionWe successf
Page 17 and 18: sendPlotData ( ” f r e q ” , f

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