Lattice Boltzmann simulation of two-phase flow involving non-Newtonian fluid in rough channels

Dong, Bo; Zhang, Yajin; Zhou, Xun; Chen, Cong; Li, Weizhong

doi:10.1016/j.tsep.2019.02.008

Cited by 18 publications

(7 citation statements)

References 55 publications

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“…Linear and inverse linear interpolations of the order parameter were used to determine the viscosity at the interface. [19,20] In present simulation, both the kinematic viscosity and density jump at the interface. To ensure the continuity of the interface, a linear interpolation of the order parameter is used to calculate the dynamic viscosity µ of the interface,…”

Section: Number Methods 21 Phase-field Lbmmentioning

confidence: 87%

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Simulation of gas–liquid two-phase flow in a flow-focusing microchannel with the lattice Boltzmann method

2023

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A lattice Boltzmann method for gas-liquid two-phase flow involving non-Newtonian fluids is developed. Bubble formation in a flow-focusing microchannel is simulated by the method. The influences of flow rate ratio, surface tension, wetting properties, and rheological characteristics of the fluid on the two-phase flow are analyzed. The results indicate that the flow pattern transfers from slug flow to dry-plug flow with a sufficiently small capillary number. Due to the presence of three-phase contact lines, the contact angle has a more significant effect on the dry-plug flow pattern than on the slug flow pattern. The deformation of the front and rear meniscus of a bubble in the shear-thinning fluid can be explained by the variation of the capillary number. The reduced viscosity and increased contact angle are beneficial for the drag reduction in a microchannel. It also demonstrates the effectiveness of the current method to simulate the gas-liquid two-phase flow in a microchannel.

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Section: Number Methods 21 Phase-field Lbmmentioning

confidence: 87%

“…The LBM becomes unstable for small relaxation time, and has poor accuracy for large relaxation time. [20] To achieve higher calculating accuracy and stability, the truncated powerlaw model [23] is adopted to set the range of the lattice kinematic viscosity (0.001 ≤ ν ≤ 3). The truncated power-law model is given by…”

Section: Lbm For Non-newtonian Fluidmentioning

confidence: 99%

Simulation of gas–liquid two-phase flow in a flow-focusing microchannel with the lattice Boltzmann method

2023

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“…LBM can also be used to solve non-Newtonian cases. Dong et al 16 adopted LBM to analyze multiphase power-law fluid in rough channels. Mendu and Das 17 investigated the stable natural convection in the power-law fluid inside a square enclosure by using LB modeling.…”

Section: Introductionmentioning

confidence: 99%

Generalized Newtonian flow analysis in the microchannel manufactured by SLA considering nano-scale stair effect

Sun¹,

Zhang

et al. 2022

Advances in Mechanical Engineering

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SLA (stereolithography), as a rapid and accurate additive manufacturing method, can be used to mold the microchannel. The stair effect is inevitable when the part is printed layer by layer, which has an important influence on the printing performance. In the current work, the power-law flow in the microchannel with nano-scale stairs manufactured by SLA is simulated and investigated. To improve the stability caused by the non-Newtonian behavior, a modified lattice Boltzmann method (LBM) is proposed and validated. Then, a series of simulations are conducted and analyzed, the results show that both the stair effect and power-law index are important factors. The stairs on the surface force the streamlines to be curved and increase the outlet velocity. In addition, different power-law indexes result in completely different flows. The small power-law index leads to a much larger velocity than other cases, while the large power-law index makes the outlet velocity unstable at the middle position.

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“…Porous media, contraction flow, corrugated channel, and many other complex geometries used to study non-Newtonian fluid behavior using the LBM. [10][11][12][13][14] Gabbanelli et al, 15 Boyd et al, 16 and Chen and Shu 17 considered LBM for the simulation of non-Newtonian fluids, where the non-Newtonian nature of the flow is implemented using a power law model. By controlling the power law exponent, both, shear-thinning and shear-thickening fluid behavior can be investigated.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann method for the simulation of White–Metzner fluid flows

Ouallal

Hakim

Raghay

2021

Numerical Methods in Fluids

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The simulation of non-Newtonian fluids is a challenging task from theoretical and numerical points of view. Different numerical methods has been used to study this class of fluids. In this article, a novel numerical scheme based on lattice Boltzmann method is presented for the simulation of White-Metzner (WM) fluid flows, where two types of distribution functions are defined for the evolution of momentum and stress, respectively. We study the accuracy, and the influence of different parameters on the flow on different benchmarks: we validate our model first for a two-dimensional planar channel, and then we investigate in details the behavior of WM fluid flows in a square lid driven cavity. In the numerical results, we give a very detailed investigation to elaborate the effect over a large range of each parameter on the flow field.

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Lattice Boltzmann simulation of two-phase flow involving non-Newtonian fluid in rough channels

Cited by 18 publications

References 55 publications

Simulation of gas–liquid two-phase flow in a flow-focusing microchannel with the lattice Boltzmann method

Simulation of gas–liquid two-phase flow in a flow-focusing microchannel with the lattice Boltzmann method

Generalized Newtonian flow analysis in the microchannel manufactured by SLA considering nano-scale stair effect

Lattice Boltzmann method for the simulation of White–Metzner fluid flows

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