Rarefied gas flow in microtubes at low Reynolds numbers

Radenkovic, Darko; Milićev, Snežana S.; Stevanović, Nevena

doi:10.5937/fmet1601010r

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…Although in this paper are presented only experimental results, it is of interest to mention that various analytical solutions are obtained for flows in microchannels. Analytical solutions for rarefied gas flow at low Reynolds number in microchannels are presented in [9]. These solutions agree well with the experimental results presented in [10].…”

Section: Discussionsupporting

confidence: 77%

Do-it-yourself microfluidics and possibilities for micro PIV

Jovic¹,

Raković²,

Čantrak³

et al. 2018

FME Transactions

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We present a method for microfluidic channel fabrication that has the following advantages compared to conventionally-used methods: technical simplicity, dramatically lower fabrication costs, and fabrication time. The method entails printing channel designs on a thermoplastic film from a LaserJet printer. Exposure to high temperatures elicits isotropic shrinkage of the film (in the x-y plane), in addition to thickening (in the z-direction), resulting in a positive relief mold. The microfluidic channel design of the mold is then transferred to a polydimethyl siloxane (PDMS) chip through soft lithography, resulting in a ready-to-use microfluidic chip. Through this approach, chips with complex channel geometries can be generated with low cost equipment and in as little as a couple hours. Flow visualizations from several chips from the "Do-it-yourself Microfluidics Workshop", held at the Faculty of Mechanical Engineering Univeristy of Belgrade, are presented in this paper. We also discuss possibilities for adapting micro particle image velocimetry (PIV) measurements to channel designs on PDMS-based microfluidic chips using the fabrication method delineated here.

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Section: Discussionsupporting

confidence: 77%

Do-it-yourself microfluidics and possibilities for micro PIV

Jovic¹,

Raković²,

Čantrak³

et al. 2018

FME Transactions

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“…The authors solved the problem for all Knudsen numbers by kinetic theory of gases. The problem of isothermal rarefied slip gas flow in microtubes, which is considered as compressible, axisymmetric, and at low Reynolds numbers is considered in Radenkovic´et al 4 The analytical solution was reached by macroscopic approach with Maxwell slip boundary condition. Hemadri et al 5 presented an experimental study of rarefied gas flow with heat transfer in circular tube with constant wall temperature.…”

Section: Introductionmentioning

confidence: 99%

Non-isothermal rarefied gas flow in microtube with constant wall temperature

Guranov

Milićev

Stevanovic

2021

Advances in Mechanical Engineering

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In this paper, pressure-driven gas flow through a microtube with constant wall temperature is considered. The ratio of the molecular mean free path and the diameter of the microtube cannot be negligible. Therefore, the gas rarefaction is taken into account. A solution is obtained for subsonic as well as slip and continuum gas flow. Velocity, pressure, and temperature fields are analytically attained by macroscopic approach, using continuity, Navier-Stokes, and energy equations, with the first order boundary conditions for velocity and temperature. Characteristic variables are expressed in the form of perturbation series. The first approximation stands for solution to the continuum flow. The second one reveals the effects of gas rarefaction, inertia, and dissipation. Solutions for compressible and incompressible gas flow are presented and compared with the available results from the literature. A good matching has been achieved. This enables using proposed method for solving other microtube gas flows, which are common in various fields of engineering, biomedicine, pharmacy, etc. The main contribution of this paper is the integral treatment of several important effects such as rarefaction, compressibility, temperature field variability, inertia, and viscous dissipation in the presented solutions. Since the solutions are analytical, they are useful and easily applicable.

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