On the mathematical modelling of slip flow development in rectangular microchannels
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503894" target="_blank" >RIV/49777513:23520/10:00503894 - isvavai.cz</a>
Nalezeny alternativní kódy
RIV/49777513:23210/10:00503894
Výsledek na webu
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DOI - Digital Object Identifier
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Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
On the mathematical modelling of slip flow development in rectangular microchannels
Popis výsledku v původním jazyce
The present study is focused on analytical and numerical solutions of the first order gaseous slip flow development in microchannels with rectangular cross-section. The slip flow is assumed to be steady, isothermal, laminar and incompressible. The main output is the derivation of analytical solution for the hydrodynamic development of slip flow in a microgap between two parallel plates. This problem is described by the Oseen equation together with first order velocity slip boundary conditions at the walls and a uniform velocity profile prescribed at the inlet. The applicability of the Oseen flow model is examined by the numerical solution of the system of incompressible NS equations in 2D with first order slip flow boundary conditions. The FVM on unstructured quadrilateral mesh together with an implicit fractional step method is used. Further, the 2D numerical algorithms are extended into 3D and applied for the simulations of slip flow development in the 3D rectangular microchannel.
Název v anglickém jazyce
On the mathematical modelling of slip flow development in rectangular microchannels
Popis výsledku anglicky
The present study is focused on analytical and numerical solutions of the first order gaseous slip flow development in microchannels with rectangular cross-section. The slip flow is assumed to be steady, isothermal, laminar and incompressible. The main output is the derivation of analytical solution for the hydrodynamic development of slip flow in a microgap between two parallel plates. This problem is described by the Oseen equation together with first order velocity slip boundary conditions at the walls and a uniform velocity profile prescribed at the inlet. The applicability of the Oseen flow model is examined by the numerical solution of the system of incompressible NS equations in 2D with first order slip flow boundary conditions. The FVM on unstructured quadrilateral mesh together with an implicit fractional step method is used. Further, the 2D numerical algorithms are extended into 3D and applied for the simulations of slip flow development in the 3D rectangular microchannel.
Klasifikace
Druh
O - Ostatní výsledky
CEP obor
BK - Mechanika tekutin
OECD FORD obor
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Návaznosti výsledku
Projekt
<a href="/cs/project/GA101%2F08%2F0623" target="_blank" >GA101/08/0623: Teoretický a experimentální výzkum transonického proudění v úzkých mezerách a mikrokanálech</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2010
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů