Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: (a) Three-dimensional finite element model with the fiber's centroid at the origin of the x′y′z′ system and the long axis along the x′ axis, (b) mesh model in the x′z′ plane with three applied essential boundary conditions (BC1, BC2, and BC3), and (c) velocity distribution of fluid domain in the x′z′ plane with the applied simple shear flow

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: Comparison of 3D FEM in planar motion and 2D FEM: (a) fiber orientation ϕ and (b) fiber position zc and yc

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: Definition of fiber orientation and position in the finite element-based method

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: Results of the 3D motion of a single ellipsoidal fiber in a simple shear flow (one period): (a) evolution of fiber orientation (ϕ,θ,ψ) and (b) evolution of fiber position (xc,yc,zc)

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: Disturbance of fiber motion on fluid velocity, pressure, and stress around fiber surface at ti=0.8: (upper 1) Uz ( − 4.5 to 6.5); (upper 2) Uy (−0.6 to 0.6); (upper 3) p (−3.8 to 1.3); (upper 4) γ˙ (0.63–4.22); (lower 1) σzz (−2.2 to 4.9); (lower 2) σyz (−0.008 to 2.5); (lower 3) σyy (−2.02 to 4.67); and (lower 4) σzz−σyy (−3 to 2.3)

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: (a) Injection molding process of center-gaited disk mold, (b) fiber suspensions within the flow in the mold cavity, and (c) definition of a single fiber orientation in Jeffery's theory

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: Disturbance of fiber motion on fluid velocity, pressure, and stress around fiber surface at ti=0.8 with Brownian motions: (upper 1) Uz (−4.5 to 6.5); (upper 2) Uy (−2.88 to −0.196); (upper 3) p (−7.37 to 3.05); (upper 4) γ˙ (0.07–9.4); (lower 1) σzz (−6.5 to 10); (lower 2) σyz (−0.74 to 6.7); (lower 3) σyy (−3.5 to 7.1); and (lower 4) σzz−σyy (−9.78 to 6.1)

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1 J. Micro Nano-Manuf. 2015;3(4):041007-041007-12. doi:10.1115/1.4031492 Figure Legend: Distribution of fiber angles at ti = 5 for small and large Péclet numbers: (a) Per=0.003 and (b) Per = 3000