Fluid Velocity Slip and Temperature Jump at a Solid Surface

Shu, Jian-Jun; Teo, Ji Bin Melvin; Chan, Weng Kong

doi:10.1115/1.4036191

Cited by 64 publications

(34 citation statements)

References 156 publications

(214 reference statements)

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“…Slip at the fluid-solid interface is, perhaps, the most ubiquitous of these phenomena and has received considerable attention (see, for example, [11][12][13][14][15][16][17][18]47]). In the case of dilute gas systems, the functional form of the slip relation as well as slip coefficients can be calculated via asymptotic expansions of the Boltzmann equation [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Universal molecular-kinetic scaling relation for slip of a simple fluid at a solid boundary

Wang

Hadjiconstantinou

2019

Phys. Rev. Fluids

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Using the observation that slip in simple fluids at low and moderate shear rates is a thermally activated process driven by the shear stress in the fluid close to the solid boundary, we develop a molecular-kinetic model for simple fluid slip at solid boundaries. The proposed model, which is in the form of a universal scaling relation that connects slip and shear rate, reduces to the well known Navier-slip condition under low shear conditions, providing a direct connection between molecular parameters and the slip length.Molecular-dynamics simulations are in very good agreement with the predicted dependence of slip on system parameters, including the temperature and fluid-solid interaction strength. Connections between our model and previous work, as well as simulation and experimental results, are explored and discussed.

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Section: Introductionmentioning

confidence: 99%

Universal molecular-kinetic scaling relation for slip of a simple fluid at a solid boundary

Wang

Hadjiconstantinou

2019

Phys. Rev. Fluids

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“…-overview of the state of the art on the use of mechanical instabilities in solids [13], -a review of experimental methods for determining the contact surface of nanometric particles [14], [15], -a review of research on the use quadrature element method (QEM) in science and engineering [16], -analysis of physical processes in the operation of ventilation and scaling capabilities, and the impact of these processes on the design of installations [17], -a review of research on the analysis of the mechanical properties of lead-free solders [18], -research review on contact modeling and the impact of this contact on material properties [19], -review of research on mechanical properties and the applicability of crystalline nanowires [20], -Morton Effect (ME) -symptoms, causes, theory of predictions and solutions [21], -review of theoretical models, numerical and experimental tests [22];…”

Section: Examples Of Research Topics In 2017mentioning

confidence: 99%

Analysis of Research Trends in the Field of Mechanical Engineering

Knapczyk¹,

Francik²

2019

ETR

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The work includes a bibliometric analysis of the main topics and research trends within the discipline of Mechanical Engineering. On the basis of analysis of data from the Scopus database, the Applied Mechanics Reviews magazine was chosen, which is the only one conducting scientific activity exclusively in the field of Mechanical Engineering. In the years of analysis (2002-2017), it was pointed out that the main research topics are optimization issues, material engineering and mechanics.

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“…The no-slip boundary conditions were proposed by Navier in 1823 [96] as an assumption. The validity of this assumption is still under debate after almost two centuries [97][98][99][100]. Some research suggests that slip boundary conditions are preferable for nano-scale transport [100,101].…”

Section: Initial Values and The Hard-wall Boundary Conditionsmentioning

confidence: 99%

Ultrafast three-wave-mixing in plasmonic nanostructures

et al. 2016

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This thesis is concerned with the theoretical description of nonlinear optical phenomena with regards to the (numerical) discontinuous Galerkin time-domain (DGTD) method. It deals with two different material models: the hydrodynamic model for metals and the model for Ramanactive dielectrics. In the first part, we review the hydrodynamic model for metals, where we apply a perturbative approach to the model. We use this approach to calculate the second-order nonlinear optical effects of second-harmonic generation and sum-frequency generation using the DGTD method. In this context, we will see how to optimize the second-order response of plasmonic nanoantennas by applying a deliberate tuning scheme for the optical excitations as well as by choosing an intelligent nanoantenna design. In the second part, we examine the material model for Raman-active dielectrics. In particular, we see how to derive the third-order nonlinear response by which one can describe the process of stimulated Raman scattering. We show how to incorporate this third-order response into the DGTD scheme yielding a novel set of auxiliary differential equations. Finally, we demonstrate the workings of the modified numerical scheme. ix Zusammenfassung Nichtlineare optische Phänomene im Rahmen des unstetigen Galerkin-Zeitraumverfahrens Diese Arbeit befasst sich mit der theoretischen Beschreibung nichtlinearer optischer Phänomene in Hinblick auf das (numerische) unstetige Galerkin-Zeitraumverfahren. Insbesondere werden zwei Materialmodelle behandelt: das hydrodynamische Modell für Metalle und das Modell für Raman-aktive Materialien. Im ersten Teil der Arbeit wird das hydordynamische Modell für Metalle unter Verwendung eines störungstheoretischen Ansatzes behandelt. Insbesondere wird dieser Ansatz genutzt, um die nichtlinearen optischen Effekte, Erzeugung zweiter Harmonischer und Summenfrequenzerzeugung, mit Hilfe des unstetigen Galerkin-Verfahrens zu studieren. In diesem Zusammenhang wird demonstriert, wie das optische Signal zweiter Ordnung von Nanoantennen optimiert werden kann. Hierzu wird ein hier erarbeitetes Schema für die Abstimmung des eingestrahten Lichtes angewandt. Zudem führt eine intelligente Wahl des Antennendesigns zu einem optimierten Signal. Im zweiten Teil dieser Arbeit wird das Modell für Raman-aktive Dielektrika behandelt. Genauer wird die nichtlineare Antwort dritter Ordnung für stimulierte Raman-Streuung hergeleitet. Diese wird dazu genutzt, um ein System aus Hilfsdifferentialgleichungen für das unstetige Galerkin-Verfahren zu konstruieren. Die Ergebnisse des erweiterten numerischen Verfahrens werden im Anschluss gezeigt und diskutiert.

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Fluid Velocity Slip and Temperature Jump at a Solid Surface

Cited by 64 publications

References 156 publications

Universal molecular-kinetic scaling relation for slip of a simple fluid at a solid boundary

Universal molecular-kinetic scaling relation for slip of a simple fluid at a solid boundary

Analysis of Research Trends in the Field of Mechanical Engineering

Ultrafast three-wave-mixing in plasmonic nanostructures

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