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Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology EI SCIE PubMed Scopus
期刊论文 | 2018 , 97 (3) | PHYSICAL REVIEW E
WoS CC Cited Count: 1 SCOPUS Cited Count: 1
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Abstract :

In this work, a regularized lattice Boltzmann color-gradient model is developed for the simulation of immiscible two-phase flows with power-law rheology. This model is as simple as the Bhatnagar-Gross-Krook (BGK) color-gradient model except that an additional regularization step is introduced prior to the collision step. In the regularization step, the pseudo-inverse method is adopted as an alternative solution for the nonequilibrium part of the total distribution function, and it can be easily extended to other discrete velocity models no matter whether a forcing term is considered or not. The obtained expressions for the nonequilibrium part are merely related tomacroscopic variables and velocity gradients that can be evaluated locally. Several numerical examples, including the single-phase and two-phase layered power-law fluid flows between two parallel plates, and the droplet deformation and break up in a simple shear flow, are conducted to test the capability and accuracy of the proposed color-gradient model. Results show that the present model is more stable and accurate than the BGK color-gradient model for power-law fluids with a wide range of power-law indices. Compared to its multiple-relaxation-time counterpart, the present model can increase the computing efficiency by around 15%, while keeping the same accuracy and stability. Also, the present model is found to be capable of reasonably predicting the critical capillary number of droplet breakup.

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GB/T 7714 Ba, Yan , Wang, Ningning , Liu, Haihu et al. Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology [J]. | PHYSICAL REVIEW E , 2018 , 97 (3) .
MLA Ba, Yan et al. "Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology" . | PHYSICAL REVIEW E 97 . 3 (2018) .
APA Ba, Yan , Wang, Ningning , Liu, Haihu , Li, Qiang , He, Guoqiang . Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology . | PHYSICAL REVIEW E , 2018 , 97 (3) .
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The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions EI SCIE Scopus
期刊论文 | 2018 , 232 (3) , 403-404 | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
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GB/T 7714 Tian, Fang-Bao , Wang, Yong , Liu, Haihu et al. The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions [J]. | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) : 403-404 .
MLA Tian, Fang-Bao et al. "The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions" . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE 232 . 3 (2018) : 403-404 .
APA Tian, Fang-Bao , Wang, Yong , Liu, Haihu , Zhang, Yonghao . The lattice Boltzmann method and its applications in complex flows and fluid-structure interactions . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) , 403-404 .
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Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces EI SCIE Scopus
期刊论文 | 2018 , 232 (3) , 416-430 | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
WoS CC Cited Count: 2 SCOPUS Cited Count: 1
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A zero-interfacial-force condition is derived and implemented to improve the wetting boundary scheme for a lattice Boltzmann color-gradient model. This new wetting boundary scheme is validated by two static problems, i.e. a droplet resting on a flat surface and a cylindrical surface, and one dynamic problem, i.e. the capillary filling in a two-dimensional channel. In these simulations, we observe that non-physical mass transfer is suppressed and spurious velocities become smaller. Meanwhile, accurate results including dynamic contact line movement are achieved for a broad range of contact angles. The model is then applied to study the displacement of immiscible fluids in a two-dimensional channel. Both the displacement velocity and the change rate of finger length are found to exhibit a linear dependence on the contact angle at the viscosity ratio of unity. The displacement velocity decreases but the change rate of finger length increases with increasing capillary number, while the displacement velocity tends to be constant, i.e. two-thirds of the maximum inlet velocity, at high viscosity ratios or low capillary numbers. In contrast to the displacement velocity, the change rate of finger length is negligible at high viscosity ratios or low capillary numbers, where the finger length is in an equilibrium state, while the equilibrium finger length itself is smaller at a higher viscosity ratio or a lower capillary number.

Keyword :

immiscible displacement contact line movement wetting boundary scheme interfacial force Color-gradient lattice Boltzmann model

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GB/T 7714 Yu, Yuan , Liu, Haihu , Zhang, Yonghao et al. Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces [J]. | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) : 416-430 .
MLA Yu, Yuan et al. "Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces" . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE 232 . 3 (2018) : 416-430 .
APA Yu, Yuan , Liu, Haihu , Zhang, Yonghao , Liang, Dong . Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces . | PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE , 2018 , 232 (3) , 416-430 .
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A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants EI SCIE Scopus
期刊论文 | 2018 , 837 , 381-412 | JOURNAL OF FLUID MECHANICS
WoS CC Cited Count: 1 SCOPUS Cited Count: 2
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Droplet dynamics in microfluidic applications is significantly influenced by surfactants. It remains a research challenge to model and simulate droplet behaviour including deformation, breakup and coalescence, especially in the confined microfluidic environment. Here, we propose a hybrid method to simulate interfacial flows with insoluble surfactants. The immiscible two-phase flow is solved by an improved lattice Boltzmann colour-gradient model which incorporates a Marangoni stress resulting from non-uniform interfacial tension, while the convection-diffusion equation which describes the evolution of surfactant concentration in the entire fluid domain is solved by a finite difference method. The lattice Boltzmann and finite difference simulations are coupled through an equation of state, which describes how surfactant concentration influences interfacial tension. Our method is first validated for the surfactant-laden droplet deformation in a three-dimensional (3D) extensional flow and a 2D shear flow, and then applied to investigate the effect of surfactants on droplet dynamics in a 3D shear flow. Numerical results show that, at low capillary numbers, surfactants increase droplet deformation, due to reduced interfacial tension by the average surfactant concentration, and non-uniform effects from non-uniform capillary pressure and Marangoni stresses. The role of surfactants on the critical capillary number (Ca-cr) of droplet breakup is investigated for various confinements (defined as the ratio of droplet diameter to wall separation) and Reynolds numbers. For clean droplets, Cacr first decreases and then increases with confinement, and the minimum value of Ca-cr is reached at a confinement of 0.5; for surfactant-laden droplets, Ca-cr exhibits the same variation in trend for confinements lower than 0.7, but, for higher confinements, Ca-cr is almost a constant. The presence of surfactants decreases Ca-cr for each confinement, and the decrease is also attributed to the reduction in average interfacial tension and non-uniform effects, which are found to prevent droplet breakup at low confinements but promote breakup at high confinements. In either clean or surfactant-laden cases, Ca-cr first remains almost unchanged and then decreases with increasing Reynolds number, and a higher confinement or Reynolds number favours ternary breakup. Finally, we study the collision of two equal-sized droplets in a shear flow in both surfactant-free and surfactant-contaminated systems with the same effective capillary numbers. It is identified that the non-uniform effects in the near-contact interfacial region immobilize the interfaces when two droplets are approaching each other and thus inhibit their coalescence.

Keyword :

breakup/coalescence computational methods capillary flows

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GB/T 7714 Liu, Haihu , Ba, Yan , Wu, Lei et al. A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants [J]. | JOURNAL OF FLUID MECHANICS , 2018 , 837 : 381-412 .
MLA Liu, Haihu et al. "A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants" . | JOURNAL OF FLUID MECHANICS 837 (2018) : 381-412 .
APA Liu, Haihu , Ba, Yan , Wu, Lei , Li, Zhen , Xi, Guang , Zhang, Yonghao . A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants . | JOURNAL OF FLUID MECHANICS , 2018 , 837 , 381-412 .
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Multi-axis dynamic displacement measurement based on a strain shunt structure EI SCIE Scopus
期刊论文 | 2018 , 272 , 62-74 | SENSORS AND ACTUATORS A-PHYSICAL
WoS CC Cited Count: 1 SCOPUS Cited Count: 1
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Transient gap or crack width monitoring is essential for structural health monitoring and failure analysis of large civil structures. In this paper, an innovative multi-axis displacement sensor, which utilises metal foil strain gauges on a strain shunt structure, has been proposed. This displacement sensor has the advantages inherited from metal foil strain sensing, such as low cost, high precision, fast dynamic response and low power consumption, and can also measure displacement in two axes independently. The working principles and sensitivity are derived theoretically from key geometrical parameters of the shunt structure, and the linear response of strain values to the given displacement of two translational axes has been demonstrated experimentally. Furthermore, modal response, stress concentration, optimal gauges installation positions and bending deformation due to moment of the third axis are studied numerically. (C) 2018 Elsevier B.V. All rights reserved.

Keyword :

Wireless sensor network Crack monitoring Strain gauge Displacement sensor SHM

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GB/T 7714 Xia, Qingfeng , Liu, Haihu . Multi-axis dynamic displacement measurement based on a strain shunt structure [J]. | SENSORS AND ACTUATORS A-PHYSICAL , 2018 , 272 : 62-74 .
MLA Xia, Qingfeng et al. "Multi-axis dynamic displacement measurement based on a strain shunt structure" . | SENSORS AND ACTUATORS A-PHYSICAL 272 (2018) : 62-74 .
APA Xia, Qingfeng , Liu, Haihu . Multi-axis dynamic displacement measurement based on a strain shunt structure . | SENSORS AND ACTUATORS A-PHYSICAL , 2018 , 272 , 62-74 .
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Modeling Multidimensional and Multispecies Biofilms in Porous Media EI SCIE PubMed Scopus
期刊论文 | 2017 , 114 (8) , 1679-1687 | BIOTECHNOLOGY AND BIOENGINEERING | IF: 3.952
WoS CC Cited Count: 1 SCOPUS Cited Count: 2
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Abstract :

Modeling multidimensional and multispecies biofilm in porous media at the pore scale is challenging due to the need to simultaneously track the microbial community in the biofilms and the interfaces between the biofilms and the fluid. Therefore, researchers usually assume that the model has only one dimension in space or has only one microbial species. This work uses bioremediation of U(VI)-contaminated groundwater as the context to develop a two-dimensional and multispecies biofilm model. The model simulates the transverse mixing zone in which U(VI) is mixed with propionate, a nutrient externally supplied to stimulate the growth of microorganisms. The model considers multiple interactions among fluid flow, transport and reaction of chemical species, and growth of biofilm. The biofilm consists of two types of active biomass (syntrophs and dissimilatory metal reducing bacteria [DMBR]) and inert biomass. The two types of active biomass collaboratively remove U(VI). The model outputs biomass distribution, chemical species concentrations, and fluid flow at the pore scale to fundamentally study the multiple interactions. The model also outputs the contaminant removal rate that can be potentially used for up-scaling studies. The simulated results are generally consistent with experimental observations from other studies in trend. The trend can be explained by the multiple interactions based on thermodynamics and microbial kinetics. (c) 2017 Wiley Periodicals, Inc.

Keyword :

bioremediation uranium pore scale cellular automaton biofilm model syntroph

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GB/T 7714 Tang, Youneng , Liu, Haihu . Modeling Multidimensional and Multispecies Biofilms in Porous Media [J]. | BIOTECHNOLOGY AND BIOENGINEERING , 2017 , 114 (8) : 1679-1687 .
MLA Tang, Youneng et al. "Modeling Multidimensional and Multispecies Biofilms in Porous Media" . | BIOTECHNOLOGY AND BIOENGINEERING 114 . 8 (2017) : 1679-1687 .
APA Tang, Youneng , Liu, Haihu . Modeling Multidimensional and Multispecies Biofilms in Porous Media . | BIOTECHNOLOGY AND BIOENGINEERING , 2017 , 114 (8) , 1679-1687 .
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Lattice Boltzmann simulation of the trapping of a microdroplet in a well of surface energy EI CPCI-S SCIE Scopus
会议论文 | 2017 , 155 , 68-75 | 12th International Conferences on Mesoscopic Methods in Engineering and Science (ICMMES) | IF: 2.221
WoS CC Cited Count: 2
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Abstract :

In this paper, a three-dimensional phase-field lattice Boltzmann method is used to simulate the dynamical behavior of a droplet, subject to an outer viscous flow, in a microchannel that contains a cylindrical hole etched into its top surface. The influence of the capillary number and the hole diameter (expressed as the ratio of hole diameter to channel height, b) is investigated. We demonstrate numerically that the surface energy gradient induced by the hole can create an anchoring force to resist the hydrodynamic drag from the outer flow, resulting in the droplet anchored to the hole when the capillary number is below a critical value. As b increases, the droplet can be anchored more easily. For b < 2, the droplet partially enters into the hole and forms a spherical cap; whereas for b > 2, the spherical cap of droplet reaches the top wall of the hole, making the hole depth into an additional important parameter. These observations are consistent with the previously reported experiments. However, the droplet does not fully fill the hole for b > 2, departing from the expectation of Dangla et al. [R. Dangla, S. Lee, C. N. Baroud, Trapping microfluidic drops in wells of surface energy, Phys. Rev. Lett. 107 (2011) 124501]. Also, it is observed in the anchored state that the rear of the droplet rests at a small distance away from the junction. Finally, the droplet undergoes a slow-down process only when its rear passes through the hole, regardless of b. (C) 2016 Elsevier Ltd. All rights reserved.

Keyword :

Surface wettability Lattice Boltzmann method Microfluidics Surface energy gradient Droplet manipulation

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GB/T 7714 Liu, Haihu , Zhang, Yonghao . Lattice Boltzmann simulation of the trapping of a microdroplet in a well of surface energy [C] . 2017 : 68-75 .
MLA Liu, Haihu et al. "Lattice Boltzmann simulation of the trapping of a microdroplet in a well of surface energy" . (2017) : 68-75 .
APA Liu, Haihu , Zhang, Yonghao . Lattice Boltzmann simulation of the trapping of a microdroplet in a well of surface energy . (2017) : 68-75 .
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Deformation and breakup of a confined droplet in shear flows with power-law rheology EI SCIE Scopus
期刊论文 | 2017 , 61 (4) , 741-758 | JOURNAL OF RHEOLOGY | IF: 2.969
WoS CC Cited Count: 3 SCOPUS Cited Count: 2
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In this paper, a multiple-relaxation-time color-gradient lattice Boltzmann model is used to simulate the deformation and breakup of a confined droplet in a simple shear flow with power-law rheology. This model is demonstrated to be accurate in simulating power-law fluids with a broad range of power-law indices. Through a preliminary study, we find that the non-Newtonian rheology of the matrix fluid has a more significant effect on the droplet deformation than that of the droplet. Compared to the Newtonian case, the non-Newtonian rheology is found to strengthen the droplet deformation in the shear-thickening matrix fluid but weaken the deformation in the shear-thinning matrix fluid. The extent of droplet deformation increases with increasing power-law index, and the rate of increase is more rapid near the smallest and largest indices considered than for intermediate values. We then systematically investigate the influence of the capillary number, geometrical confinement, and viscosity ratio on the deformation of a Newtonian droplet in power-law matrix fluids. The non-Newtonian effect on droplet deformation increases with increasing the capillary number or the wall confinement. In all the matrix fluids considered, the viscosity ratio noticeably affects the droplet deformation only when the capillary number is not less than 0.15, and the maximum deformation occurs at the viscosity ratio of unity for a constant capillary number. Finally, the critical capillary number, above which the droplet breakup occurs, is investigated for various confinement ratios in three different power-law matrix fluids. As the confinement ratio increases, the critical capillary number exhibits an overall increasing trend in the shear-thinning matrix fluid and an overall decreasing trend in the shear-thickening matrix fluid, both distinct from that in Newtonian case where the critical capillary number first decreases and then increases. The mode of droplet breakup is found to depend on the confinement ratio and the power-law index of the matrix fluid, and a high confinement ratio or a low power-law index favors the ternary breakup. The present study can provide useful suggestions and guidance for precise control of droplet behavior in microfluidic applications where non-Newtonian rheology is often encountered. (C) 2017 The Society of Rheology.

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GB/T 7714 Wang, Ningning , Liu, Haihu , Zhang, Chuhua . Deformation and breakup of a confined droplet in shear flows with power-law rheology [J]. | JOURNAL OF RHEOLOGY , 2017 , 61 (4) : 741-758 .
MLA Wang, Ningning et al. "Deformation and breakup of a confined droplet in shear flows with power-law rheology" . | JOURNAL OF RHEOLOGY 61 . 4 (2017) : 741-758 .
APA Wang, Ningning , Liu, Haihu , Zhang, Chuhua . Deformation and breakup of a confined droplet in shear flows with power-law rheology . | JOURNAL OF RHEOLOGY , 2017 , 61 (4) , 741-758 .
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Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media EI SCIE Scopus
期刊论文 | 2017 , 53 (5) , 3770-3790 | WATER RESOURCES RESEARCH | IF: 4.361
WoS CC Cited Count: 9 SCOPUS Cited Count: 9
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A new algorithm for imposing the contact angle on solid surfaces is proposed in the Lattice Boltzmann color-gradient model. The capability and accuracy of this algorithm are validated by simulation of contact angles for a droplet resting on a flat surface and on a cylindrical surface. The color-gradient model with the proposed contact angle algorithm is then used to study the capillary valve effect in porous media. As a preliminary study, the capillary valve effect is explained by simulating immiscible two-phase displacement within a single-pore geometry. It is shown that the capillary valve effect is accurately captured by the present simulations. Further simulations of drainage and imbibition are also conducted to understand the capillary valve effect in an experiment-matched pore-network micromodel. The simulated results are found to agree quantitatively with the experimental results reported in literature, except for a few differences which result from the exclusion of contact angle hysteresis in the proposed algorithm.

Keyword :

Lattice Boltzmann method contact angle hysteresis multiphase flow wetting boundary condition pore-scale simulation capillary valve effect

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GB/T 7714 Xu, Zhiyuan , Liu, Haihu , Valocchi, Albert J. . Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media [J]. | WATER RESOURCES RESEARCH , 2017 , 53 (5) : 3770-3790 .
MLA Xu, Zhiyuan et al. "Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media" . | WATER RESOURCES RESEARCH 53 . 5 (2017) : 3770-3790 .
APA Xu, Zhiyuan , Liu, Haihu , Valocchi, Albert J. . Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media . | WATER RESOURCES RESEARCH , 2017 , 53 (5) , 3770-3790 .
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Droplet Dynamics of Newtonian and Inelastic Non-Newtonian Fluids in Confinement EI SCIE Scopus
期刊论文 | 2017 , 8 (2) | MICROMACHINES | IF: 2.222
WoS CC Cited Count: 1 SCOPUS Cited Count: 1
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Microfluidic droplet technology has been developing rapidly. However, precise control of dynamical behaviour of droplets remains a major hurdle for new designs. This study is to understand droplet deformation and breakup under simple shear flow in confined environment as typically found in microfluidic applications. In addition to the Newtonian-Newtonian system, we consider also both a Newtonian droplet in a non-Newtonian matrix fluid and a non-Newtonian droplet in a Newtonian matrix. The lattice Boltzmann method is adopted to systematically investigate droplet deformation and breakup under a broad range of capillary numbers, viscosity ratios of the fluids, and confinement ratios considering shear-thinning and shear-thickening fluids. Confinement is found to enhance deformation, and the maximum deformation occurs at the viscosity ratio of unity. The droplet orients more towards the flow direction with increasing viscosity ratio or confinement ratio. In addition, it is noticed that the wall effect becomes more significant for confinement ratios larger than 0.4. Finally, for the whole range of Newtonian carrier fluids tested, the critical capillary number above which droplet breakup occurs is only slightly affected by the confinement ratio for a viscosity ratio of unity. Upon increasing the confinement ratio, the critical capillary number increases for the viscosity ratios less than unity, but decreases for the viscosity ratios more than unity.

Keyword :

droplet dynamics multiphase flows power-law fluids lattice Boltzmann method droplet deformation droplet breakup

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GB/T 7714 Ioannou, Nikolaos , Liu, Haihu , Oliveira, Monica S. N. et al. Droplet Dynamics of Newtonian and Inelastic Non-Newtonian Fluids in Confinement [J]. | MICROMACHINES , 2017 , 8 (2) .
MLA Ioannou, Nikolaos et al. "Droplet Dynamics of Newtonian and Inelastic Non-Newtonian Fluids in Confinement" . | MICROMACHINES 8 . 2 (2017) .
APA Ioannou, Nikolaos , Liu, Haihu , Oliveira, Monica S. N. , Zhang, Yonghao . Droplet Dynamics of Newtonian and Inelastic Non-Newtonian Fluids in Confinement . | MICROMACHINES , 2017 , 8 (2) .
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