Fluid flow across a wavy channel brought in contact

Shvarts, Andrei G.; Yastrebov, Vladislav

doi:10.1016/j.triboint.2018.05.005

Cited by 15 publications

(17 citation statements)

References 51 publications

(75 reference statements)

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“…Under the one-way coupling, which neglects the effect of the fluid pressure on the surface of the solid, the transmissivity of the interface is underestimated. Consequently, the critical pressure needed to seal the channel is higher if the two-way coupling is considered, which is an agreement with (Shvarts and Yastrebov, 2018a), where we found the critical sealing pressure to be an affine function of the inlet pressure for the case of a wavy channel without trapped fluid zone. Moreover, once a trapped fluid pool is formed, it provides additional load-bearing capacity, while its pressure is increasing with the increasing external load.…”

Section: Comparison Of the Interface Transmissivity Between One-and T...supporting

confidence: 90%

“…The fluid pressure inside the lagoon before its closure is almost uniform and is higher than the mean value between the inlet and outlet fluid pressures (p in + p out )/2. This is also an effect of considering the two-way coupling, since the fluid pressure decrease from the inlet to the outlet is not linear (which is the case under one-way coupling), but is rather concave, as was shown in (Shvarts and Yastrebov, 2018a). At the second stage, see Fig.…”

Section: Fluid Flow Across a Wavy Channel With An "Atoll" Island And ...mentioning

confidence: 85%

“…Note that the methodology presented here was already applied to a two-way coupling problem of a pressure driven fluid flow in contact interface between an elastic solid with an extruded wavy surface and a rigid flat (Shvarts and Yastrebov, 2018a). In the same paper we derived an approximate analytical formula based on the Westergaard-Kuznetsov solution (Westergaard, 1939;Kuznetsov, 1985) and a one-dimensional formulation of Reynolds equation, which describes both the solid deformation and the fluid pressure distribution in case of two-way coupling.…”

Section: Introductionmentioning

confidence: 99%

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Computational framework for monolithic coupling for thin fluid flow in contact interfaces

Shvarts¹,

Vignollet²,

Yastrebov³

2019

Preprint

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We develop a computational framework for simulating thin fluid flow in narrow interfaces between contacting solids, which is relevant for a range engineering, biological and geophysical applications. The treatment of this problem requires coupling between fluid and solid mechanics equations, further complicated by contact constraints and potentially complex geometrical features of contacting surfaces. We develop a monolithic finite-element framework for handling contact, thin incompressible viscous flow and fluid-induced tractions on the surface of the solid, suitable for both one-and two-way coupling approaches. Additionally, we consider fluid entrapment in "pools" delimited by contact patches and its pressurisation following a non-linear compressible constitutive law. Image analysis algorithms are adopted to identify the local status of each interface element (i.e. distinguish between contact, fluid flow and trapped fluid zones) within the Newton convergence loop. First, an application of the proposed framework for a problem with a model geometry is given, and the robustness is demonstrated by the DOF-wise and status-wise convergence. The full capability of the developed two-way coupling framework is demonstrated on a problem of a fluid flow in a contact interface between a solid with representative rough surface and a rigid flat. The evolution of the contact pressure, fluid flow pattern and the morphology of trapped fluid zones under increasing external load until the complete sealing of the interface is displayed. Finally, effective properties of flat-on-flat rough contact interfaces such as transmissivity and real contact area growth are calculated using the developed framework, showing qualitatively new results compared to the one-way coupling approximation. KeywordsFinite-element method • mechanical contact • thin fluid flow • trapped fluid • monolithic coupling

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Section: Comparison Of the Interface Transmissivity Between One-and T...supporting

confidence: 90%

Section: Fluid Flow Across a Wavy Channel With An "Atoll" Island And ...mentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Computational framework for monolithic coupling for thin fluid flow in contact interfaces

Shvarts¹,

Vignollet²,

Yastrebov³

2019

Preprint

Self Cite

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“…To examine the exact contribution of shear stress applied on the fracture, more complex elastic–plastic models are required. First attempts going in this direction are the models of Yastrebov et al (2017) and those of Shvarts and Yastrebov (2018a, 2018b) where the problem is approached through spectral boundary element methods and full monolithic coupling of the mechanical deformation and hydraulic transport in the fractures. These methods should allow the extension to shear stress and plasticity (Frérot et al, 2019) with the geometries used in this study (grooves suborthogonal to fluid flow and shear sense as well as parallel ones).…”

Section: Effect Of Shear On Transmissivity: Extrapolation Of the Numementioning

confidence: 99%

Hydraulic Transport Through Calcite Bearing Faults With Customized Roughness: Effects of Normal and Shear Loading

2020

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Understanding fluid flow in rough fractures is of high importance to large scale geologic processes and to most anthropogenic geo‐energy activities. Here we conducted fluid transport experiments on Carrara marble fractures with a novel customized surface topography. Transmissivity measurements were conducted under mechanical loading conditions representative of deep geothermal reservoirs (normal stresses from 20 to 70 MPa and shear stresses from 0 to 30 MPa). A numerical procedure simulating normal contact and fluid flow through fractures with complex geometries was validated toward experiments. Using it, we isolated the effects of roughness parameters on fracture fluid flow. Under normal loading, we find that (i) the transmissivity decreases with normal loading and is strongly dependent on fault surface geometry and (ii) the standard deviation of heights (hRMS) and macroscopic wavelength of the surface asperities control fracture transmissivity. Transmissivity evolution is nonmonotonic, with more than 4 orders of magnitude difference for small variations of macroscopic wavelength and hRMS roughness. Reversible elastic shear loading has little effect on transmissivity; it can increase or decrease depending on contact geometry and overall stress state on the fault. Irreversible shear displacement (up to 1 mm offset) slightly decreases transmissivity and its variation with irreversible shear displacements can be predicted numerically and geometrically at low normal stress only. Finally, irreversible changes in surface roughness (plasticity and wear) due to shear displacement result in a permanent decrease of transmissivity when decreasing differential stress. Generally, reduction of a carbonate fault's effective stress increases its transmissivity while inducing small shear displacements does not.

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“…This phenomenon can be explained by the linear elastic fracture mechanics (LEFM) theory [16]. So the fluid load must be considered for the cases where the fluid is present between the sealing surfaces [17,18]. In Reference [18], it was shown that a fully coupled approach considering the two-way fluid-structure interaction, between the sealing surfaces, is preferred compared with a sequential solution procedure, in which the equations are solved independently and the solution is obtained through iteration until convergence is reached.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Static Seal Contact Mechanics Including Hydrostatic Load at the Contacting Interface

et al. 2020

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A finite element model of a static seal assembled in its housing has been built and is utilized to study how the seal deforms under varying loading conditions. The total contact load on the sealing surface is balanced by the sealed fluid pressure and the friction between the seal and the housing sidewall perpendicular to the sealing surface. The effect of the sealed fluid pressure between the sealing surfaces was investigated and the simulation showed that the surface profile is distorted due to the hydrostatic pressure. We study the distorted contact profile with varying sealed fluid pressure and propose five parameters to describe the corresponding contact pressure profile. One of these parameters, overshoot pressure, a measure of the difference between maximum contact pressure and the sealed fluid pressure, is an indicator of sealing performance. The simulations performed show different behaviors of the overshoot pressure with sealed fluid pressure for cosinusoidal and parabolic surfaces with the same peak to valley (PV) value.

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Fluid flow across a wavy channel brought in contact

Cited by 15 publications

References 51 publications

Computational framework for monolithic coupling for thin fluid flow in contact interfaces

Computational framework for monolithic coupling for thin fluid flow in contact interfaces

Hydraulic Transport Through Calcite Bearing Faults With Customized Roughness: Effects of Normal and Shear Loading

Numerical Simulation of Static Seal Contact Mechanics Including Hydrostatic Load at the Contacting Interface

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