Finite element simulation of dynamic wetting flows as an interface formation process

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Finite element simulation of dynamic wetting flows as an interface formation process. / Sprittles, James; Shikhmurzaev, Yulii.

In: Journal of Computational Physics, Vol. 233, 15.01.2013, p. 34-65.

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@article{6b94a87f1615439699c129d2eeec8e22,
title = "Finite element simulation of dynamic wetting flows as an interface formation process",
abstract = "A mathematically challenging model of dynamic wetting as a process of interface formation has been, for the first time, fully incorporated into a numerical code based on the finite element method and applied, as a test case, to the problem of capillary rise. The motivation for this work comes from the fact that, as discovered experimentally more than a decade ago, the key variable in dynamic wetting flows — the dynamic contact angle — depends not just on the velocity of the three-phase contact line but on the entire flow field/geometry. Hence, to describe this effect, it becomes necessary to use the mathematical model that has this dependence as its integral part. A new physical effect, termed the {\textquoteleft}hydrodynamic resist to dynamic wetting{\textquoteright}, is discovered where the influence of the capillary{\textquoteright}s radius on the dynamic contact angle, and hence on the global flow, is computed. The capabilities of the numerical framework are then demonstrated by comparing the results to experiments on the unsteady capillary rise, where excellent agreement is obtained. Practical recommendations on the spatial resolution required by the numerical scheme for a given set of non-dimensional similarity parameters are provided, and a comparison to asymptotic results available in limiting cases confirms that the code is converging to the correct solution. The appendix gives a user-friendly step-by-step guide specifying the entire implementation and allowing the reader to easily reproduce all presented results, including the benchmark calculations.",
keywords = "Fluid mechanics, Dynamic wetting, Interface formation, Shikhmurzaev model, Computation, Capillary rise",
author = "James Sprittles and Yulii Shikhmurzaev",
year = "2013",
month = jan,
day = "15",
doi = "10.1016/j.jcp.2012.07.018",
language = "English",
volume = "233",
pages = "34--65",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Finite element simulation of dynamic wetting flows as an interface formation process

AU - Sprittles, James

AU - Shikhmurzaev, Yulii

PY - 2013/1/15

Y1 - 2013/1/15

N2 - A mathematically challenging model of dynamic wetting as a process of interface formation has been, for the first time, fully incorporated into a numerical code based on the finite element method and applied, as a test case, to the problem of capillary rise. The motivation for this work comes from the fact that, as discovered experimentally more than a decade ago, the key variable in dynamic wetting flows — the dynamic contact angle — depends not just on the velocity of the three-phase contact line but on the entire flow field/geometry. Hence, to describe this effect, it becomes necessary to use the mathematical model that has this dependence as its integral part. A new physical effect, termed the ‘hydrodynamic resist to dynamic wetting’, is discovered where the influence of the capillary’s radius on the dynamic contact angle, and hence on the global flow, is computed. The capabilities of the numerical framework are then demonstrated by comparing the results to experiments on the unsteady capillary rise, where excellent agreement is obtained. Practical recommendations on the spatial resolution required by the numerical scheme for a given set of non-dimensional similarity parameters are provided, and a comparison to asymptotic results available in limiting cases confirms that the code is converging to the correct solution. The appendix gives a user-friendly step-by-step guide specifying the entire implementation and allowing the reader to easily reproduce all presented results, including the benchmark calculations.

AB - A mathematically challenging model of dynamic wetting as a process of interface formation has been, for the first time, fully incorporated into a numerical code based on the finite element method and applied, as a test case, to the problem of capillary rise. The motivation for this work comes from the fact that, as discovered experimentally more than a decade ago, the key variable in dynamic wetting flows — the dynamic contact angle — depends not just on the velocity of the three-phase contact line but on the entire flow field/geometry. Hence, to describe this effect, it becomes necessary to use the mathematical model that has this dependence as its integral part. A new physical effect, termed the ‘hydrodynamic resist to dynamic wetting’, is discovered where the influence of the capillary’s radius on the dynamic contact angle, and hence on the global flow, is computed. The capabilities of the numerical framework are then demonstrated by comparing the results to experiments on the unsteady capillary rise, where excellent agreement is obtained. Practical recommendations on the spatial resolution required by the numerical scheme for a given set of non-dimensional similarity parameters are provided, and a comparison to asymptotic results available in limiting cases confirms that the code is converging to the correct solution. The appendix gives a user-friendly step-by-step guide specifying the entire implementation and allowing the reader to easily reproduce all presented results, including the benchmark calculations.

KW - Fluid mechanics

KW - Dynamic wetting

KW - Interface formation

KW - Shikhmurzaev model

KW - Computation

KW - Capillary rise

U2 - 10.1016/j.jcp.2012.07.018

DO - 10.1016/j.jcp.2012.07.018

M3 - Article

VL - 233

SP - 34

EP - 65

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -