n umerical s imulations motolani olarinre ivana seric mandeep singh
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- N UMERICAL S IMULATIONS Motolani Olarinre Ivana Seric Mandeep Singh
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- I NTRODUCTION
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- M ETHOD AND BC S
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- N UMERICAL R ESULTS Types of wave profiles: -Traveling wave solution -Convective instability -Absolute instability Figure: Flow down the vertical plane (t=10). From top to bottom, N=16, 22, 27.
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- S TABLE TRAVELING WAVE SOLUTION
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- Flow down the vertical plane (N=16). From top to bottom, t=0, 40, 80, 120.
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- C ONVECTIVE INSTABILITY Figure: N=22, flow down the vertical. From top to bottom, t=0, 40, 80, 120.
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- C ONVECTIVE INSTABILITY
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- A BSOLUTE INSTABILITY Figure: N=27, absolute instability. From top to bottom, t=0, 40, 80, 120.
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- A BSOLUTE INSTABILITY
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- S PEED OF THE LEFT BOUNDARY NumLSANumLSA 18.617.7925.4325.44 24.424.1330.630.46
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- NUMERICS
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- F INITE D IFFERENCE D ISCRETIZATION P ROCEDURE
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- O UR S IMULATIONS We ran simulations in FORTRAN using the following parameters: C = 1, B = 0, N = 10, U = 1, b = 0.1, beta = 1. These parameters indicate a liquid crystal flowing down a vertical surface (90 degree angle) The output from our simulations were plotted and analyzed using MATLAB
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- We ran simulations for two distinct cases: Constant Flux: Uses a semi-infinite hyperbolic tangent profile for its initial condition. Simulates a case where an infinite volume of liquid is flowing. Constant Volume: Uses a square hyperbolic tangent profile for its initial condition. Simulates a case where a drop is flowing. O UR S IMULATIONS
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- G ROWTH R ATE A NALYSIS
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- 80.7854 100.6283 120.5236 140.4488 160.3927 180.3491 200.3142
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- G ROWTH R ATE A NALYSIS