2019
DOI: 10.1016/j.compfluid.2018.08.024
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Modeling of capillary-driven flows in axisymmetric geometries

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Cited by 20 publications
(7 citation statements)
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“…In other pore structures, Chassagne et al 54 analytically extended the LW equation to model capillary imbibition of liquids into axisymmetric microchannels with circular cross sections. These researchers employed numerical simulations based on the free surface lattice Boltzmann method to demonstrate the validation of theoretically derived equation in two test geometries (i.e., a sinusoidal capillary and a diverging capillary) (Figure 4).…”
Section: Equationmentioning
confidence: 99%
See 1 more Smart Citation
“…In other pore structures, Chassagne et al 54 analytically extended the LW equation to model capillary imbibition of liquids into axisymmetric microchannels with circular cross sections. These researchers employed numerical simulations based on the free surface lattice Boltzmann method to demonstrate the validation of theoretically derived equation in two test geometries (i.e., a sinusoidal capillary and a diverging capillary) (Figure 4).…”
Section: Equationmentioning
confidence: 99%
“…Capillary imbibition of a liquid into (a) a sinusoidal capillary and (b) a diverging capillary (reproduced with permission).…”
Section: Modifications and Extensions Of The Lw Equationmentioning
confidence: 99%
“…The capillary water absorption coefficient A cap is generally calculated to evaluate the liquid water transfer capacity in construction materials 35 . The water absorption test apparatus is shown in detail below in Figure 7. Acap=MwcMdr0.25emAt …”
Section: Methodsmentioning
confidence: 99%
“…Liang et al 28 proposed a phase‐field‐based LB model to study the capillary intrusion of Newtonian flows without considering the influence of gravity. Chassagne et al 29 considered the capillary‐driven flows in axisymmetric geometries by using free‐surface LB model. However, to the best of our knowledge, most of the previous studies only focus on the Newtonian fluids, and relatively little attention has been paid to the capillary rise of non‐Newtonian fluids with including the effects of displaced fluids and gravity.…”
Section: Introductionmentioning
confidence: 99%
“…To solve the problem, in this work an improved phase‐field‐based LB model is developed where the non‐Newtonian effect caused by the variation of viscosity is described by an external force term. Unlike the previous studies, 28‐30,32 in the present LB model, the relaxation time in the collision operator is fixed as a constant, and the change of shear‐rate‐dependent viscosity of two‐phase fluids can be realized through introducing a parameter A . This special treatment can be used to improve the capacity of LB method for non‐Newtonian fluid flows, and also makes the present LB model more stable even when the viscosity is relatively small.…”
Section: Introductionmentioning
confidence: 99%