Calculation of thermo-physical properties of Poiseuille flow in a nano-channel

Prabha, Sooraj K.; Sathian, Sarith P.

doi:10.1016/j.ijheatmasstransfer.2012.11.004

Cited by 16 publications

(9 citation statements)

References 31 publications

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“…The Ar-Ar interaction strength is taken to be 0.996 KJ/mol. 13 The fluid molecules are spatially distributed in a domain of size 1000 nm 3 with an initial Gaussian velocity distribution corresponding to a temperature of 300 K. For the unbounded gas, periodic boundary conditions (PBC) are employed in all three directions. The walls are modeled at either extremes of the domain in y direction (Fig.…”

Section: Methodology a Simulation Modelmentioning

confidence: 99%

“…13 The temperature of walls is maintained at 300 K using a Berendsen thermostat by controlling transitional degrees of freedom of wall atoms. The simulation domain is filled with argon gas with a number density ranging from 0.2 to 2.8 atoms/nm 3 . For the confined gas, this number density range corresponds to a Knudsen number range of 0.07 to 1.0, when the kinetic theory model is used to calculate the MFP.…”

Section: Methodology a Simulation Modelmentioning

confidence: 99%

“…1 Generally, the flow properties are calculated by approximating the MFP using the theoretical models. 2,3 The theoretical models that dictate MFP calculate the bulk value and do not give any information regarding the variation with linear dimension, if any. 4,5 However there have been attempts to portray the variation of confined fluid with reflective wall boundary.…”

Section: Introductionmentioning

confidence: 99%

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The effect of system boundaries on the mean free path for confined gases

et al. 2013

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The mean free path of rarefied gases is accurately determined using Molecular Dynamics simulations. The simulations are carried out on isothermal argon gas (Lennard-Jones fluid) over a range of rarefaction levels under various confinements (unbounded gas, parallel reflective wall and explicit solid platinum wall bounded gas) in a nanoscale domain. The system is also analyzed independently in constitutive sub-systems to calculate the corresponding local mean free paths. Our studies which predominate in the transition regime substantiate the boundary limiting effect on mean free paths owing to the sharp diminution in molecular free paths near the planar boundaries. These studies provide insight to the transport phenomena of rarefied gases through nanochannels which have established their potential in microscale and nanoscale heat transfer applications.

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Section: Methodology a Simulation Modelmentioning

confidence: 99%

Section: Methodology a Simulation Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The effect of system boundaries on the mean free path for confined gases

et al. 2013

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“…Furthermore, thermophysical properties of argon gas flow between parallel platinum walls at various rarefaction levels in the early transition regime (Kn=0.1~0.526) were studied while the channel walls were maintained at a constant temperature. In this study, the gravity-driven Poiseuille flow properties such as collision frequency on the walls, velocity and density profiles across the channel height were investigated, and it was shown that the value of tangential momentum accommodation coefficient had been decreased as the Knudsen and the gravity were increased (Prabha & Sathian, 2013). In order to reduce the computational time, the smart wall molecular dynamics (SWMD) algorithm is proposed (Barisik et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

Heat Conduction Characteristic of Rarefied Gas in Nanochannel

Rabani

Heidarinejad

Harting

et al. 2020

JAFM

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Nonequilibrium molecular dynamics simulations is applied to investigate the simultaneous effect of rarefaction and wall force field on the heat conduction characteristics of nano-confined rarefied argon gas. The interactive thermal wall model is used to specify the desired temperature on the walls while the Irving-Kirkwood expression is implemented for calculating the heat flux. It is observed that as the temperature differences between the walls increases by lowering the temperature of the cold wall, the number of adsorbed gas atoms on the cold wall increases notably due to the increment in the residence time of the gas atoms. Consequently, the interfacial thermal resistance between the gas and the cold wall reduces which results in a reduction of the temperature jump. Meanwhile, the increase in the temperature of the hot wall leads to a reduction of the residence time of gas atoms in the near-wall region which decreases the number of absorbed gas atoms on the hot wall. This results in an increase in interfacial thermal resistance which leads to a higher temperature jump. It is observed that the bulk, wall force field and interface regions form approximately 10%, 45% and 45% of the total thermal resistance, respectively. Furthermore, unlike the interfacial thermal resistance, the bulk and the wall force field thermal resistance are approximately independent of the implemented temperature difference.

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“…With this assumption, Maxwell showed that the tangential slip velocity at the wall is given by

u_{slip} = \frac{2 - σ}{σ} λ \frac{\partial u}{\partial y}

where

\partial u / \partial y

is the velocity gradient normal to the flow direction. For high Knudsen number flows, deviations from a first‐order derivative model are observed, and hence higher order derivatives are frequently used to model slip in microchannel flows . Extensive reviews on the topic of wall slip and rarefied gas flows in microchannels are available …”

Section: Introductionmentioning

confidence: 99%

An analytical solution to the extended Navier–Stokes equations using the Lambert W function

Jaishankar

McKinley

2014

AIChE Journal

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Micro channel gas flows are of importance in a range Micro Electro Mechanical Systems (MEMS). Due to the confined geometry of the channel, the mean free path of the gas can be comparable to the characteristic length of the micro channel, leading to slip-like flow behavior and strong diffusion-enhanced transport of mass and momentum. The Extended Navier Stokes Equations (ENSE) have successfully been used to model the slip behavior in rarefied gas flows as well as quantitatively predict the mass flow rate through the channel, without introducing any ad hoc parameters. The model involves accounting for self-diffusion due to local pressure gradients, and decomposing the total transport as the additive sum of individual convective and diffusive terms. In this paper, we show that it is possible to obtain exact analytical solutions to the ENSE equation set for the pressure and velocity field using the Lambert W function. We find that diffusive contributions to the total transport are only dominant for low average pressures and low pressure drops across the micro channel. For large inlet pressures, we show that the expressions involving the Lambert function predict steep gradients in the pressure and velocity localized near the channel exit. Using a limit analysis, we extract a characteristic length for this boundary layer. Our analytical results are validated by numerical calculations as well as experimental results available in the literature.

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Calculation of thermo-physical properties of Poiseuille flow in a nano-channel

Cited by 16 publications

References 31 publications

The effect of system boundaries on the mean free path for confined gases

The effect of system boundaries on the mean free path for confined gases

Heat Conduction Characteristic of Rarefied Gas in Nanochannel

An analytical solution to the extended Navier–Stokes equations using the Lambert W function

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