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.

doi:10.1007/s00158-020-02558-8

Cited by 4 publications

(5 citation statements)

References 70 publications

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“…[24]. With regard to interfacial patterns, topology optimization has been implemented for stiffness and multi-material structures [25][26][27][28][29][30][31], layouts of shell structures [32][33][34][35][36][37][38], electrode patterns of electroosmosis [21], fluid-structure and fluidparticle interaction [39][40][41], energy absorption [42], cohesion [43], actuation [44] and wettability control [45][46][47], etc. ; topology optimization approaches implemented on 2-manifolds have also been developed with applications in elasticity, wettability control, heat transfer and electromagnetics [48][49][50]; and the fiber bundle topology optimization approach has been developed for wettability control at fluid/solid interfaces [47]; recently, topology optimization of surface flows has extended the design space of fluidic structures onto the 2-manifolds [8].…”

Section: Introductionmentioning

confidence: 99%

Fiber Bundle Topology Optimization for Surface Flows

Deng,

Zhang,

Zhu

et al. 2024

Chin. J. Mech. Eng.

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This paper presents a topology optimization approach for the surface flows on variable design domains. Via this approach, the matching between the pattern of a surface flow and the 2-manifold used to define the pattern can be optimized, where the 2-manifold is implicitly defined on another fixed 2-manifold named as the base manifold. The fiber bundle topology optimization approach is developed based on the description of the topological structure of the surface flow by using the differential geometry concept of the fiber bundle. The material distribution method is used to achieve the evolution of the pattern of the surface flow. The evolution of the implicit 2-manifold is realized via a homeomorphous map. The design variable of the pattern of the surface flow and that of the implicit 2-manifold are regularized by two sequentially implemented surface-PDE filters. The two surface-PDE filters are coupled, because they are defined on the implicit 2-manifold and base manifold, respectively. The surface Navier-Stokes equations, defined on the implicit 2-manifold, are used to describe the surface flow. The fiber bundle topology optimization problem is analyzed using the continuous adjoint method implemented on the first-order Sobolev space. Several numerical examples have been provided to demonstrate this approach, where the combination of the viscous dissipation and pressure drop is used as the design objective.

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Section: Introductionmentioning

confidence: 99%

Fiber Bundle Topology Optimization for Surface Flows

Deng,

Zhang,

Zhu

et al. 2024

Chin. J. Mech. Eng.

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“…With regard to flow problems, topology optimization has been implemented for Stokes flows [9,10], creeping fluid flows [11], steady Navier-Stokes flows [12], unsteady Navier-Stokes flows [13,14], flows with body forces [15,16], turbulent flows [17,18], two-phase flows of immiscible fluids [19], electroosmotic flows [20,21] and flows of non-Newtonian fluids [22,23], etc; topology optimization for flow problems have been reviewed in [24]. With regard to interfacial patterns, researches have been implemented for stiffness and multi-material structures [25][26][27][28][29][30][31], layouts of shell structures [32][33][34][35][36][37][38], electrode patterns of electroosmosis [21], fluid-structure and fluid-particle interaction [39][40][41], energy absorption [42], cohesion [43], actuation [44] and wettability control [45][46][47], etc. ; topology optimization approaches implemented on 2-manifolds have also been developed with applications in elasticity, wettability control, heat transfer and electromagnetics [48][49]…”

Section: Introductionmentioning

confidence: 99%

“…With regard to interfacial patterns, researches have been implemented for stiffness and multi-material structures [25][26][27][28][29][30][31], layouts of shell structures [32][33][34][35][36][37][38], electrode patterns of electroosmosis [21], fluid-structure and fluid-particle interaction [39][40][41], energy absorption [42], cohesion [43], actuation [44] and wettability control [45][46][47], etc. ; topology optimization approaches implemented on 2-manifolds have also been developed with applications in elasticity, wettability control, heat transfer and electromagnetics [48][49][50]; and the fiber bundle topology optimization approach has been developed for wettability control at fluid/solid interfaces [47]; recently, topology optimization of surface flows has extended the design space of fluidic structures onto the 2-manifolds [8].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fiber bundle topology optimization for surface flows

Deng¹,

Zhang²,

Zhu³

et al. 2022

Preprint

Self Cite

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This paper presents a topology optimization approach for the surface flows on variable design domains. Via this approach, the matching between the pattern of a surface flow and the 2manifold used to define the pattern can be optimized, where the 2-manifold is implicitly defined on another fixed 2-manifold named as the base manifold. The fiber bundle topology optimization approach is developed based on the description of the topological structure of the surface flow by using the differential geometry concept of the fiber bundle. The material distribution method is used to achieve the evolution of the pattern of the surface flow. The evolution of the implicit 2-manifold is realized via a homeomorphous map. The design variable of the pattern of the surface flow and that of the implicit 2-manifold are regularized by two sequentially implemented surface-PDE filters. The two surface-PDE filters are coupled, because they are defined on the implicit 2-manifold and base manifold, respectively. The surface Navier-Stokes equations, defined on the implicit 2-manifold, are used to describe the surface flow. The fiber bundle topology optimization problem is analyzed using the continuous adjoint method implemented on the first-order Sobolev space. Several numerical examples have been provided to demonstrate this approach, where the combination of the viscous dissipation and pressure drop is used as the design objective.

show abstract

“…Topology optimization of fluidic flows have been reviewed in [43]. With regard to material interfaces, related investigations have been implemented for stiffness and multi-material structures [44][45][46][47][48][49][50], layouts of shell structures [51][52][53][54][55][56], electrode patterns of electroosmosis [40], fluid-structure and fluid-particle interaction [57][58][59], energy absorption [60], cohesion [61], actuation [62] and wettability control [63][64][65], etc. ; a topology optimization approach implemented on 2-manifolds has also been generally developed with applications in the areas of wettability control, heat transfer and electromagnetics [66].…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of surface flows

Deng¹,

Zhang²,

Zhu³

et al. 2020

Preprint

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This paper presents a topology optimization approach for the surface flows on 2-manifolds or two-dimensional manifolds, which can represent the viscous and incompressible material interfaces. The fluidic motion on such a material interface can be described by the surface Navier-Stokes equations, which are derived by using the elementary tangential calculus in terms of exterior differential operators expressed in a Cartesian system. Based on the topology optimization model for fluidic flows with porous medium filling the design domain, an artificial Darcy friction is added to the area force term of the surface Navier-Stokes equations and the physical area forces are penalized to eliminate their existence in the fluidic regions and to avoid the invalidity of the porous medium model. Topology optimization for steady and unsteady surface flows can be implemented by iteratively evolving the impermeability of the porous medium on 2-manifolds, where the impermeability is interpolated by the material density derived from the design variable. The related partial differential equations are solved by using the surface finite element method. Numerical examples have been provided to demonstrate this topology optimization approach for surface flows.

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

Cited by 4 publications

References 70 publications

Fiber Bundle Topology Optimization for Surface Flows

Fiber Bundle Topology Optimization for Surface Flows

Fiber bundle topology optimization for surface flows

Topology optimization of surface flows

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