Bachelor Thesis - Czech Technical University in Prague

More documents

Recommendations

Info

4 SimulationsIn this section the author’s simulations are presented. During the makingof these simulations the author encountered many problems and dead ends.Some of these will be presented here in order to show the amount of workdone as well as warn anyone who reads this of the complications they mayencounter shall they attempt to create a similar simulation.Simulations show ∇E 2 for the dielectrophoretic force and ∇ × Re[Ẽ] ×Im[Ẽ] for the travelling wave dielectrophoretic force, neglecting the constantsand the Clausisus-Mossotti factor. Simulations work with length ratios forthe electrodes, not their real lengths. Force can be calculated from the simulationdata by taking the particle size, Clausisus-Mossotti factor and electrodelengths into account.Simulations are done for a parallel electrode configuration, as shown inFigure 4.1.Figure 4.1: Parallel electrode array.16
4.1 Analytical simulationsAnalytical simulations are probably the most straightforward ones in termsof implementation. Simulations give the force at specific coordinates, giventhe electrode to gap ratio and the voltage. Figure 4.2 shows an example of ananalytic solution. Analytic solution with approximate boundary condition iscalculated using Equation (3.1). The simulation is calculated by functionanF2 (located in file anF2.m). Analytic solution with exact boundary conditionis calculated using Equation (3.2) and is calculated by function anF(found in file anF.m).1412Exact boundary conditionApproximate boundary condition1086Fx420−2−4−60 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1xFigure 4.2: x-component of the force for analytic solution for d 1 /d 2 = 4electrode ratio, V = 1[V], y = 0.1. Units of length are dimeonsionless.17
Page 1 and 2: Czech Technical University inPrague
Page 3 and 4: DeclarationI declare that I have cr
Page 5 and 6: Contents1 Introduction 12 Dielectro
Page 7 and 8: 1 IntroductionThe goal of this work
Page 9 and 10: and rewrite the force as:F = Qd ·
Page 11 and 12: The frequency where Re[K(ω)] = 0 i
Page 13 and 14: 2.4.3 Brownian motionAll the partic
Page 15 and 16: The equation for the exact boundary
Page 17 and 18: Figure 3.1: 2d boundary conditions.
Page 19 and 20: the following equation:F DEP + F se
Page 21: If the rectangle crosses the x or y
Page 25 and 26: Next numerical simulation is of a p
Page 27 and 28: Figure 4.6. This makes it infeasibl
Page 29 and 30: trices. The result, however, varied
Page 31 and 32: 5 Results comparisonIn this section
Page 33 and 34: 1.5 x 105 4−1 −0.8 −0.6 −0.
Page 35 and 36: of decreasing gradient. Particle st
Page 37 and 38: References[1] Michael Pycraft Hughe
Page 39: DEPnum(tw).mph Comsol simulationDEP

Bachelor Thesis - Czech Technical University in Prague

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?