College of Sciences
Mathematics and Statistics
Applied and Computational Mathematics
Suspensions of active polar liquid crystalline polymers (APLC) exhibit complex phenomena such as spontaneous flows, pattern formations and defects. Using the Kinetic Model, which couples the Smoluchowski Equation and the Navier-Stokes Equations, we conduct numerical simulations of APLC in a microfluidic channel to investigate the competitive effect among different material constants, such as the nematic concentration (the strength of the potential for nematic order) and active strength (the individual nano-rods strength of their individual movement) with and without a pressure gradient. Both Dirichlet and Neumann boundary conditions on the mathematical model are employed. Steady states, including isotropic and nematic states, as well as periodic states are observed. Spontaneous flows reveal interesting geometries in polarity vector orientation and nematic director orientation, such as flow reversals and banded structures with multiple regions within the channel boundaries.
Liquid Crystals, Numerical stability, Soft matter, Numerical simulations
Numerical Analysis and Computation
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Schenk, Lacey and Zhou, Ruhai, "Active Polar Liquid Crystal Channel Flows: Analyzing the Roles of Nematic Strength and Activation Parameter" (2022). College of Sciences Posters. 7.