Kapitza resistance at the liquid—solid interface

Pressure-driven water flow through carbon nanotubes (CNTs) with diameters ranging from 1.66 to 4.99 nm is examined using molecular dynamics simulation. The flow rate enhancement, defined as the ratio of the observed flow rate to that predicted from the no-slip HagenPoiseuille relation, is calculated for each CNT. The enhancement decreases with increasing CNT diameter and ranges from 433 to 47. By calculating the variation of water viscosity and slip length as a function of CNT diameter, it is found that the results can be fully explained in the context of continuum fluid mechanics. The enhancements are lower than previously reported experimental results, which range from 560 to 100 000, suggesting a miscalculation of the available flow area and/or the presence of an uncontrolled external driving force (such as an electric field) in the experiments.

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“…The slip length, which describes the velocity discontinuity between the liquid and the solid, is defined as [10][11][12] …”

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confidence: 99%

Reassessing Fast Water Transport Through Carbon Nanotubes

2008

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“…Here the coefficients η, ζ , and λ denote the shear viscosity, bulk viscosity, and heat conductivity, respectively, β and κ are the interfacial parameters for the velocity slip and temperature slip (with κ directly related to the Kapitza resistance) [44], respectively, λ s is the surface heat conductivity, α is the interfacial parameter controlling the density relaxation [25], and χ is the parameter controlling the mechanical-thermal cross coupling at the interface [22]. Except for χ whose sign is determined by fluid-solid interactions at microscopic length scale [46,55,56], these bulk and interfacial parameters are all positive as required by the positive definiteness of σ and σ surf .…”

Section: Dynamic Van Der Waals Theorymentioning

confidence: 99%

“…Physically, this continuum hydrodynamic model is closely related to the so-called model "H" which was originally devised to describe the critical dynamics of thermal fluctuations [41,42]. Supplemented with the hydrodynamic boundary conditions derived in our previous works [22,25], this model can be used to fully take into account the various physical processes involved in the contact line dynamics, including phase transition (evaporation or condensation) and capillary flow in the bulk fluid region [26,27], boundary slip of fluid [25,39,40,43], temperature slip across the fluid-solid interface [44,45], and mechanical-thermal cross coupling at the fluid-solid interface [46]. Due to the use of diffuse-interface method, the stress and thermal singularities are resolved automatically.…”

Section: Introductionmentioning

confidence: 99%

Thermal singularity and droplet motion in one-component fluids on solid substrates with thermal gradients

Qian

2012

Phys. Rev. E

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Using a continuum model capable of describing the one-component liquid-gas hydrodynamics down to the contact line scale, we carry out numerical simulation and physical analysis for the droplet motion driven by thermal singularity. For liquid droplets in one-component fluids on heated or cooled substrates, the liquid-gas interface is nearly isothermal. Consequently, a thermal singularity occurs at the contact line and the Marangoni effect due to temperature gradient is suppressed. Through evaporation or condensation in the vicinity of the contact line, the thermal singularity makes the contact angle increase with the increasing substrate temperature. This effect on the contact angle can be used to move the droplets on substrates with thermal gradients. Our numerical results for this kind of droplet motion are explained by a simple fluid dynamical model at the droplet length scale. Since the mechanism for droplet motion is based on the change of contact angle, a separation of length scales is exhibited through a comparison between the droplet motion induced by a wettability gradient and that by a thermal gradient. It is shown that the flow field at the droplet length scale is independent of the statics or dynamics at the contact line scale.

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“…Flows through nanochannels have been shown to produce quadratic temperature profiles which induce a heat flux, even in the absence of a temperature gradient [24,25]. Other studies focused on the thermal resistance at the solid-liquid interface and have correlated it with the vibrational motion of the solid, as well as the liquid properties [26,27]. The thermal conductivity of a fluid has also been related to the channel width and system temperature [28,29].…”

Section: Introductionmentioning

confidence: 99%

Thermal behaviour of nanofluids confined in nanochannels

Frank

Drikakis

Asproulis

2015

AIP Conference Proceedings

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Abstract. This work investigates the effect of spatial restriction on the thermal properties of nanofluids. Using Molecular Dynamics simulations, a Copper-Argon nanofluid is restricted within idealized walls. The thermal conductivity of the suspension is calculated using the Green-Kubo relations and is correlated with the volume fraction of the copper particles within the system as well as the channel width. The thermal conductivity is further broken down into its individual components in the three dimensions, revealing anisotropy between the directions parallel and normal to the channel walls. The observed thermodynamic patterns are justified by considering how the spatial restriction affects the liquid structure around the nanoparticle.

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Kapitza resistance at the liquid—solid interface

Cited by 286 publications

References 13 publications

Reassessing Fast Water Transport Through Carbon Nanotubes

Reassessing Fast Water Transport Through Carbon Nanotubes

Thermal singularity and droplet motion in one-component fluids on solid substrates with thermal gradients

Thermal behaviour of nanofluids confined in nanochannels

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