Close Search Advanced
Journals
Resources
About Us
Open Access

Topology Optimization of Capillary, Two-Phase Flow Problems

Topology Optimization of Capillary, Two-Phase Flow Problems
Preview
Add to basket

Year:    2017

Communications in Computational Physics, Vol. 22 (2017), Iss. 5 : pp. 1413–1438

Abstract

This paper presents topology optimization of capillary, the typical two-phase flow with immiscible fluids, where the level set method and diffuse-interface model are combined to implement the proposed method. The two-phase flow is described by the diffuse-interface model with essential no slip condition imposed on the wall, where the singularity at the contact line is regularized by the molecular diffusion at the interface between two immiscible fluids. The level set method is utilized to express the fluid and solid phases in the flows and the wall energy at the implicit fluid-solid interface. Based on the variational procedure for the total free energy of two-phase flow, the Cahn-Hilliard equations for the diffuse-interface model are modified for the two-phase flow with implicit boundary expressed by the level set method. Then the topology optimization problem for the two-phase flow is constructed for the cost functional with general formulation. The sensitivity analysis is implemented by using the continuous adjoint method. The level set function is evolved by solving the Hamilton-Jacobian equation, and numerical test is carried out for capillary to demonstrate the robustness of the proposed topology optimization method. It is straightforward to extend this proposed method into the other two-phase flows with two immiscible fluids.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2017-0003

Communications in Computational Physics, Vol. 22 (2017), Iss. 5 : pp. 1413–1438

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:   

  1. Design of nanofluid-cooled heat sink using topology optimization

    ZHANG, Bin | ZHU, Jihong | XIANG, Gaoxiang | GAO, Limin

    Chinese Journal of Aeronautics, Vol. 34 (2021), Iss. 2 P.301

    https://doi.org/10.1016/j.cja.2020.05.023 [Citations: 14]

  2. Topology optimization of vapor chamber internal structures consisting of evaporator and condenser

    Li, Baotong | Chen, Hao | Xu, Junhao | Yin, Xinin | Hong, Jun

    Applied Mathematical Modelling, Vol. 107 (2022), Iss. P.233

    https://doi.org/10.1016/j.apm.2022.02.031 [Citations: 3]

  3. Adjoint-based control of three dimensional Stokes droplets

    Fikl, Alexandru | Bodony, Daniel J.

    Journal of Computational Physics, Vol. 494 (2023), Iss. P.112532

    https://doi.org/10.1016/j.jcp.2023.112532 [Citations: 1]

  4. Fiber Bundle Topology Optimization for Surface Flows

    Deng, Yongbo | Zhang, Weihong | Zhu, Jihong | Xu, Yingjie | Korvink, Jan G

    Chinese Journal of Mechanical Engineering, Vol. 37 (2024), Iss. 1

    https://doi.org/10.1186/s10033-024-01019-3 [Citations: 0]

  5. Topology Optimization for Steady-State Navier-Stokes Flow Based on Parameterized Level Set Based Method

    Wei, Peng | Jiang, Zirun | Xu, Weipeng | Liu, Zhenyu | Deng, Yongbo | Pan, Minqiang

    Computer Modeling in Engineering & Sciences, Vol. 136 (2023), Iss. 1 P.593

    https://doi.org/10.32604/cmes.2023.023978 [Citations: 0]

  6. The influence of temperature dependent fluid properties on topology optimization of conjugate heat transfer

    Qian, Sihao | Lou, Shunxi | Ge, Chaoliu | Wang, Wei | Tian, Xiwei | Cai, Yanzhao

    International Journal of Thermal Sciences, Vol. 173 (2022), Iss. P.107424

    https://doi.org/10.1016/j.ijthermalsci.2021.107424 [Citations: 21]

  7. Adjoint-based interfacial control of viscous drops

    Fikl, Alexandru | Bodony, Daniel J.

    Journal of Fluid Mechanics, Vol. 911 (2021), Iss.

    https://doi.org/10.1017/jfm.2020.1013 [Citations: 7]

  8. Conservative Allen–Cahn equation with a nonstandard variable mobility

    Yang, Junxiang | Li, Yibao | Lee, Chaeyoung | Kim, Junseok

    Acta Mechanica, Vol. 231 (2020), Iss. 2 P.561

    https://doi.org/10.1007/s00707-019-02548-y [Citations: 4]

  9. A Review of Topology Optimisation for Fluid-Based Problems

    Alexandersen, Joe | Andreasen, Casper Schousboe

    Fluids, Vol. 5 (2020), Iss. 1 P.29

    https://doi.org/10.3390/fluids5010029 [Citations: 165]

  10. A conservative finite difference scheme for the N-component Cahn–Hilliard system on curved surfaces in 3D

    Yang, Junxiang | Li, Yibao | Lee, Chaeyoung | Jeong, Darae | Kim, Junseok

    Journal of Engineering Mathematics, Vol. 119 (2019), Iss. 1 P.149

    https://doi.org/10.1007/s10665-019-10023-9 [Citations: 7]

  11. Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model

    Xia, Qing | Sun, Gangming | Yu, Qian | Kim, Junseok | Li, Yibao

    Communications in Nonlinear Science and Numerical Simulation, Vol. 116 (2023), Iss. P.106782

    https://doi.org/10.1016/j.cnsns.2022.106782 [Citations: 20]

  12. Adjoint-based shape optimization for compressible flow based on volume penalization method

    Liu, Ming | Hasegawa, Yosuke

    Engineering with Computers, Vol. (2024), Iss.

    https://doi.org/10.1007/s00366-024-02058-z [Citations: 0]

  13. Fiber bundle topology optimization of hierarchical microtextures for wetting behavior in Cassie-Baxter mode

    Deng, Yongbo | Zhang, Weihong | Liu, Zhenyu | Zhu, Jihong | Korvink, Jan G.

    Structural and Multidisciplinary Optimization, Vol. 61 (2020), Iss. 6 P.2523

    https://doi.org/10.1007/s00158-020-02558-8 [Citations: 2]

  14. Multi-objective topology optimization and flow characteristics study of the microfluidic reactor

    Wang, Jiahao | Wang, Yue | Ma, Lie | Liu, Xiaomin

    Reaction Kinetics, Mechanisms and Catalysis, Vol. 135 (2022), Iss. 5 P.2475

    https://doi.org/10.1007/s11144-022-02259-x [Citations: 5]

  15. Topology optimization of electrode patterns for electroosmotic micromixer

    Deng, Yongbo | Zhou, Teng | Liu, Zhenyu | Wu, Yihui | Qian, Shizhi | Korvink, Jan G.

    International Journal of Heat and Mass Transfer, Vol. 126 (2018), Iss. P.1299

    https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.065 [Citations: 34]

  16. Flow structure transition and identification of two-phase fluid flow through rough rock fractures

    Wang, Yakun | Zhang, Zhenyu | Ranjith, P. G. | Han, Xuefeng

    The European Physical Journal Plus, Vol. 138 (2023), Iss. 5

    https://doi.org/10.1140/epjp/s13360-023-03977-4 [Citations: 4]

  17. Topology optimization for surface flows

    Deng, Yongbo | Zhang, Weihong | Liu, Zhenyu | Zhu, Jihong | Korvink, Jan G.

    Journal of Computational Physics, Vol. 467 (2022), Iss. P.111415

    https://doi.org/10.1016/j.jcp.2022.111415 [Citations: 8]