Slip boundary condition for lattice Boltzmann modeling of liquid flows

Wang, Kai; Chai, Zhenhua; Hou, Guoxiang; Chen, Wei; Xu, Sheng

doi:10.1016/j.compfluid.2017.11.009

Cited by 42 publications

(25 citation statements)

References 40 publications

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“…Researchers have studied the numerical stability of the slip boundary conditions for gas flow [20,28]. The numerical stability and 215 the accuracy of these boundary conditions for liquid flow are consistent with gas flow in nature [36]. It can be concluded from the following simulations that the numerical stability and the accuracy of the improved slip boundary conditions for liquid flow are not worse than gas flow.…”

Section: Analysis Of Slip Boundary Conditions For Simulation Of Liquimentioning

confidence: 96%

“…Some researchers used the Poiseuille flow to approximate the actual flow near the wall [37,38,40,41]. In fact, if the grid is fine enough, the discrete effects can be ignorable and 385 the local flow at the wall can be approximated as flow with linear velocity gradient [36]. It is also proved by the numerical results below.…”

Section: Hmentioning

confidence: 96%

“…related the slip length and the relaxation factor to the combined parameter based on the Couette flow and the Navier's slip model [36]. But it is challenging to apply the BSR scheme to curved walls.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…Results show that the relations are accurate and reliable enough to simulate complex gas flows 225 with slip boundary condition. Wang [36] used the unidirectional liquid flow to deduce the relation between the combination parameter of BSR scheme and the slip length. Simulations demonstrate that the relation is suitable even for unsteady Womersly flow with liquid slip boundary condition.…”

Section: Basic Assumptions Of Unidirectional Steady Liquid Flow 220mentioning

confidence: 99%

“…(8), (9) and (10). Wang et al [36] adopted the Couette flow with linear velocity gradient to deduce the relation between the combination parameters of BSR scheme with the 295 slip length. Results show that the relations they obtained are accurate and reliable enough even for unsteady nonlinear flow.…”

mentioning

confidence: 99%

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Boundary conditions with adjustable slip length for the lattice Boltzmann simulation of liquid flow

Yang

Hou

et al. 2018

Computers & Fluids

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • Four slip boundary conditions are presented for liquid flow. • The proposed schemes surmount the barrier of limited slip length. • The proposed schemes are specified by the slip length. • Two slip boundary conditions are suitable for curved walls.

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Section: Analysis Of Slip Boundary Conditions For Simulation Of Liquimentioning

confidence: 96%

Section: Hmentioning

confidence: 96%

Section: Accepted Manuscriptmentioning

confidence: 99%

Section: Basic Assumptions Of Unidirectional Steady Liquid Flow 220mentioning

confidence: 99%

mentioning

confidence: 99%

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Boundary conditions with adjustable slip length for the lattice Boltzmann simulation of liquid flow

Yang

Hou

et al. 2018

Computers & Fluids

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Decoupling Minimal Surface Metamaterial Properties Through Multi‐Material Hyperbolic Tilings

Callens

Arns

Kuliesh

et al. 2021

Adv Funct Materials

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Rapid advances in additive manufacturing have kindled widespread interest in the rational design of metamaterials with unique properties over the past decade. However, many applications require multi-physics metamaterials, where multiple properties are simultaneously optimized. This is challenging since different properties, such as mechanical and mass transport properties, typically impose competing requirements on the nano-/micro-/ meso-architecture of metamaterials. Here, a parametric metamaterial design strategy that enables independent tuning of the effective permeability and elastic properties is proposed. Hyperbolic tiling theory is applied to devise simple templates, based on which triply periodic minimal surfaces (TPMS) are partitioned into hard and soft regions. Through computational analyses, it is demonstrated how the decoration of hard, soft, and void phases within the TPMS substantially enhances their permeability-elasticity property space and offers high tunability in the elastic properties and anisotropy at constant permeability. Also shown is that this permeability-elasticity balance is well captured using simple scaling laws. The proposed concept is demonstrated through multi-material additive manufacturing of representative specimens. The approach, which is generalizable to other designs, offers a route towards multi-physics metamaterials that need to simultaneously carry a load and enable mass transport, such as load-bearing heat exchangers or architected tissue-substituting meta-biomaterials.

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