Analytical solution of gaseous slip flow between two parallel plates described by the Oseen equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43915481" target="_blank" >RIV/49777513:23520/12:43915481 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.matcom.2012.04.002" target="_blank" >http://dx.doi.org/10.1016/j.matcom.2012.04.002</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2012.04.002" target="_blank" >10.1016/j.matcom.2012.04.002</a>

Result language

angličtina

Original language name

Analytical solution of gaseous slip flow between two parallel plates described by the Oseen equation

Original language description

This paper is focused on the derivation of analytical solution describing the development of gas pressure driven microflow in a gap between two parallel plates. The gas flow is assumed to be steady, laminar and incompressible. For the mathematical description of the problem, the Oseen flow model is used. The first-order velocity slip boundary conditions are considered at the walls of the gap. The analytical solution for the velocity profile development is obtained using the method of Laplace transformation. The applicability of the Oseen flow model is analysed on two test cases in this study: pressure driven microflow of argon and pressure driven airflow with Kn ? 0 for which the analytical solution is compared with the numerical one.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BK - Liquid mechanics

OECD FORD branch

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Project

<a href="/en/project/GA101%2F08%2F0623" target="_blank" >GA101/08/0623: Theoretical and Experimental Investigation of Transonic Flow in Narrow Gaps and Microchannels</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

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Volume of the periodical

82

Issue of the periodical within the volume

10

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

9

Pages from-to

1832-1840

UT code for WoS article

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EID of the result in the Scopus database

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