Role of surface shape on boundary slip and velocity defect

Dinler, Ali; Barber, Robert W.; Emerson, David R.; Stefanov, Stefan; Oruçoğlu, Kamil

doi:10.1103/physreve.86.016314

Cited by 7 publications

(6 citation statements)

References 20 publications

(24 reference statements)

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“…The results show that the opposing effect becomes more prominent as the gap distance increases, while it becomes less important as the curvature decreases. An opposing effect of curvature on velocity slip for liquid 3 He at a superfluid 4 He boundary was previously predicted through an investigation of the slip boundary conditions [23]. For the first time, the presence of an analogous opposing heat flow behavior has been reported in this study.…”

Section: Discussionsupporting

confidence: 71%

“…As the Knudsen number increases, the Knudsen layer becomes increasingly influential on the heat flow behavior and causes a considerable temperature jump at a gas-solid interface. It is also known that higher-order velocity slip and temperature jump models are less accurate at a convex gassolid interface [4,5]. A recent investigation has shown that the Knudsen layer is thicker over a convex surface compared with a flat surface and it expands further with curvature [6].…”

Section: Introductionmentioning

confidence: 99%

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Curvature dependence of heat transfer at a fluid-solid interface

et al. 2018

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This study reports an opposing effect of curvature on the interfacial heat transfer, which implies a monotonic increase in the temperature jump over a convex surface and, conversely, a monotonic decrease in the temperature jump over a concave surface, as the curvature of the surface increases. The study shows that this effect is present at both gas-solid and liquid-solid interfaces. The curvature dependence of the interfacial thermal conductance is also investigated and the opposing effect is elucidated by the change in the thermal conductivity of the fluid-solid interface.

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Section: Discussionsupporting

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Curvature dependence of heat transfer at a fluid-solid interface

et al. 2018

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“…However, in our case, root finding requires the numerical value of the thermal conductivity k. Instead, in order to adopt the conventional macro-scale notation, we can obtain the relation (9) by using the relation 2 p kq 1 2 dp p dq q (9) and by changing i with q in Eq. (9) we can write the generalization of the Heaviside expansion theorem (i.e.…”

Section: Semi-analytical Approach For the Heaviside Operational Methodsmentioning

confidence: 99%

“…When the mean free path is kept constant throughout the annular gap, the Knudsen number can be considered as a scale parameter which increases down to the micro/nano-scale [9].…”

Section: Analytical Solution Of Transient Heat Conductionmentioning

confidence: 99%

Solving transient temperature-jump models over curved micro-surfaces

Dinler¹

2014

AIP Conference Proceedings

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Quantifying the amount of heat transfer between a micro-surface and its environment is essential in the design of many micro-devices. The present study investigates the transient heat conduction through a gas between two cylindrical surfaces in order to gain some insights. An analytical solution of a temperature-jump model can be helpful but analytical investigation of the time-dependent temperature-jump models is not easy even for a simple one-dimensional geometry. Therefore, this study employs the Heaviside operational method to solve a second-order temperature jump model. The study gives a generalization of the Heaviside expansion theorem and a semi-analytical procedure for using it. Then it solves the variation of gas temperature with time and with distance from a cylindrical micro-surface and examines the amount of the temperature-jumps at curved surfaces.

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“…For planar geometry, Equation 2reduces to Equation (1). Dinler et al 5,6 adopt Equation 2to investigate the impact of surface shape on the gas slippage effects.…”

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confidence: 99%

A non-empirical gas slippage model for low to moderate Knudsen numbers

et al. 2017

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In this study, we present a novel derivation of the gas slip flow boundary condition within micro-and nano-flow channels. The newly derived boundary condition is of second order. Our model is based on the kinetic theory of gases. The slippage condition is obtained via the calculation of the shear stress in a confined micro-channel. We have benchmarked the mass transfer rate predicted by our model with existing numerical and physical experimental data, and the new model matches experiments within 10%.

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Role of surface shape on boundary slip and velocity defect

Cited by 7 publications

References 20 publications

Curvature dependence of heat transfer at a fluid-solid interface

Curvature dependence of heat transfer at a fluid-solid interface

Solving transient temperature-jump models over curved micro-surfaces

A non-empirical gas slippage model for low to moderate Knudsen numbers

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