Project paper - The Department of Physics and Astronomy

More documents

Recommendations

Info

0.060.05y(x) = (a / x) + ba = 0.0022077b = −0.037547R = 0.99513 (lin)0.04Velocity (m/s)0.030.020.0100.02 0.025 0.03 0.035 0.04 0.045 0.05 0.055 0.06Radius (m)Figure 9: Velocity as a function of radius for a single vortex rotating at 1200 rpm.??Another test that we conducted was to check the advective nature of this system. Ifit was truly advective, the system would return to its original state upon time reversal.Experimentally this means that if we reversed the motion of the vortices, a tracer particleTo accomplish this, we ran the system for a half integer period, such that the systemstopped spinning the same vortex that it started on. In this way, when running the secondtime, the reversing switch shown in figure 10 could be flipped such that the polarity of theDC motors would be reversed, and thus the whole system would run backwards.Theoretically these conditions would be exactly opposite to those in the forward direction,but due to mechanical limitations, it is not quite possible. Nevertheless we attempted to getas close as possible to the initial state in this manner. The results of our experiment areshown in figure 11, after 3 sets of rotations (1.5 periods).DC SourceDC MotorsSwitchFigure 10: Schematic for a reversing switch.10
80ForwardReverse60x-Position (mm)402000 5 10 15 20 25 30 35-20-40Time (s)Figure 11: The x-position of a particle upon reversal after 1.5 periods in a blinking vortexflow at ∼1000 rpm60ForwardReverse40y-Position (mm)200-200 5 10 15 20 25 30 35-40-60Time (s)Figure 12: The y-position of a particle upon reversal after 1.5 periods in a blinking vortexflow at ∼1000 rpm11
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: Figure 8: Data or particle traced o
Page 13 and 14: 7 Results and ConclusionWe successf
Page 15 and 16: 8 Appendix: Code/∗B l i n k i n g
Page 17 and 18: sendPlotData ( ” f r e q ” , f

Project paper - The Department of Physics and Astronomy

Create successful ePaper yourself

Delete template?

Save as template?