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

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 wel...

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Autores principales:	Iva Guranov, Snežana Milićev, Nevena Stevanović
Formato:	article
Lenguaje:	EN
Publicado:	SAGE Publishing 2021
Materias:	Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/c4a4c54b599d4a50bf89da0f981bee3a
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spelling	oai:doaj.org-article:c4a4c54b599d4a50bf89da0f981bee3a2021-12-02T03:33:51ZNon-isothermal rarefied gas flow in microtube with constant wall temperature1687-814010.1177/16878140211065147https://doaj.org/article/c4a4c54b599d4a50bf89da0f981bee3a2021-11-01T00:00:00Zhttps://doi.org/10.1177/16878140211065147https://doaj.org/toc/1687-8140In 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.Iva GuranovSnežana MilićevNevena StevanovićSAGE PublishingarticleMechanical engineering and machineryTJ1-1570ENAdvances in Mechanical Engineering, Vol 13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mechanical engineering and machinery TJ1-1570
spellingShingle	Mechanical engineering and machinery TJ1-1570 Iva Guranov Snežana Milićev Nevena Stevanović Non-isothermal rarefied gas flow in microtube with constant wall temperature
description	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.
format	article
author	Iva Guranov Snežana Milićev Nevena Stevanović
author_facet	Iva Guranov Snežana Milićev Nevena Stevanović
author_sort	Iva Guranov
title	Non-isothermal rarefied gas flow in microtube with constant wall temperature
title_short	Non-isothermal rarefied gas flow in microtube with constant wall temperature
title_full	Non-isothermal rarefied gas flow in microtube with constant wall temperature
title_fullStr	Non-isothermal rarefied gas flow in microtube with constant wall temperature
title_full_unstemmed	Non-isothermal rarefied gas flow in microtube with constant wall temperature
title_sort	non-isothermal rarefied gas flow in microtube with constant wall temperature
publisher	SAGE Publishing
publishDate	2021
url	https://doaj.org/article/c4a4c54b599d4a50bf89da0f981bee3a
work_keys_str_mv	AT ivaguranov nonisothermalrarefiedgasflowinmicrotubewithconstantwalltemperature AT snezanamilicev nonisothermalrarefiedgasflowinmicrotubewithconstantwalltemperature AT nevenastevanovic nonisothermalrarefiedgasflowinmicrotubewithconstantwalltemperature
_version_	1718401757917216768

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

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