A continuum model to study fluid dynamics within oscillating elastic nanotubes

Torres-Herrera, Ulises; Poiré, Eugenia Corvera

doi:10.1017/jfm.2021.176

Cited by 5 publications

(1 citation statement)

References 126 publications

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“…Transport of the van der Waals fluids through microscale/nanoscale confined geometries appears in many engineering applications, such as shale gas production (Wu et al 2016;Mehrabi, Javadpour & Sepehrnoori 2017), carbon dioxide geological sequestration (Wang, Wang & Chen 2018), energy-efficient cooling (Rana, Lockerby & Sprittles 2018;Van Erp et al 2020) and ultrafast filtration using membranes (Joseph & Aluru 2008;Torres-Herrera & Poiré 2021). The definition of the van der Waals fluids originates from the celebrated van der Waals equation of state (EoS) (van der Waals 1873; Maxwell 1874), which extends the ideal gas law by coupling the effects of both the finite size of gas molecules and the long-range attraction between gas molecules.…”

Section: Introductionmentioning

confidence: 99%

Molecular kinetic modelling of non-equilibrium transport of confined van der Waals fluids

Shan,

Su,

Gibelli

et al. 2023

J. Fluid Mech.

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A thermodynamically consistent kinetic model is proposed for the non-equilibrium transport of confined van der Waals fluids, where the long-range molecular attraction is considered by a mean-field term in the transport equation, and the transport coefficients are tuned to match the experimental data. The equation of state of the van der Waals fluids can be obtained from an appropriate choice of the pair correlation function. By contrast, the modified Enskog theory predicts non-physical negative transport coefficients near the critical temperature and may not be able to recover the Boltzmann equation in the dilute limit. In addition, the shear viscosity and thermal conductivity are predicted more accurately by taking gas molecular attraction into account, while the softened Enskog formula for hard-sphere molecules performs better in predicting the bulk viscosity. The present kinetic model agrees with the Boltzmann model in the dilute limit and with the Navier–Stokes equations in the continuum limit, indicating its capability in modelling dilute-to-dense and continuum-to-non-equilibrium flows. The new model is examined thoroughly and validated by comparing it with the molecular dynamics simulation results. In contrast to the previous studies, our simulation results reveal the importance of molecular attraction even for high temperatures, which holds the molecules to the bulk while the hard-sphere model significantly overestimates the density near the wall. Because the long-range molecular attraction is considered appropriately in the present model, the velocity slip and temperature jump at the surface for the more realistic van der Waals fluids can be predicted accurately.

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