On the simultaneous effects of gas rarefaction, wall porosity, and inertia in microchannel flows
Abstract
The superposition of two effects that cause the flow to slip over the walls of a microchannel: Gas rarefaction and wall porosity, is treated in the paper. At that, in order to account for moderately high values of the Reynolds number, observed in some experiments, the effect of inertia is included into the analysis as a second order effect. The approach is fully analytic and consists in the development of a simple perturbation scheme in which the Knudsen number plays the role of a unique small parameter. The obtained results are in qualitative agreement with experiments, and may be usefully applied for the design of aerostatic bearings in which a porous material is used as the flow restrictor.
Keywords:
wall porosity / slip / microchannel flow / inertia / gas rarefactionSource:
Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2005, 85, 7, 516-522Publisher:
- Wiley-V C H Verlag Gmbh, Weinheim
DOI: 10.1002/zamm.200310199
ISSN: 0044-2267
WoS: 000230360000005
Scopus: 2-s2.0-22144450961
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Stevanović, Nevena AU - Đorđević, Vladan D. PY - 2005 UR - https://machinery.mas.bg.ac.rs/handle/123456789/491 AB - The superposition of two effects that cause the flow to slip over the walls of a microchannel: Gas rarefaction and wall porosity, is treated in the paper. At that, in order to account for moderately high values of the Reynolds number, observed in some experiments, the effect of inertia is included into the analysis as a second order effect. The approach is fully analytic and consists in the development of a simple perturbation scheme in which the Knudsen number plays the role of a unique small parameter. The obtained results are in qualitative agreement with experiments, and may be usefully applied for the design of aerostatic bearings in which a porous material is used as the flow restrictor. PB - Wiley-V C H Verlag Gmbh, Weinheim T2 - Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik T1 - On the simultaneous effects of gas rarefaction, wall porosity, and inertia in microchannel flows EP - 522 IS - 7 SP - 516 VL - 85 DO - 10.1002/zamm.200310199 ER -
@article{ author = "Stevanović, Nevena and Đorđević, Vladan D.", year = "2005", abstract = "The superposition of two effects that cause the flow to slip over the walls of a microchannel: Gas rarefaction and wall porosity, is treated in the paper. At that, in order to account for moderately high values of the Reynolds number, observed in some experiments, the effect of inertia is included into the analysis as a second order effect. The approach is fully analytic and consists in the development of a simple perturbation scheme in which the Knudsen number plays the role of a unique small parameter. The obtained results are in qualitative agreement with experiments, and may be usefully applied for the design of aerostatic bearings in which a porous material is used as the flow restrictor.", publisher = "Wiley-V C H Verlag Gmbh, Weinheim", journal = "Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik", title = "On the simultaneous effects of gas rarefaction, wall porosity, and inertia in microchannel flows", pages = "522-516", number = "7", volume = "85", doi = "10.1002/zamm.200310199" }
Stevanović, N.,& Đorđević, V. D.. (2005). On the simultaneous effects of gas rarefaction, wall porosity, and inertia in microchannel flows. in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik Wiley-V C H Verlag Gmbh, Weinheim., 85(7), 516-522. https://doi.org/10.1002/zamm.200310199
Stevanović N, Đorđević VD. On the simultaneous effects of gas rarefaction, wall porosity, and inertia in microchannel flows. in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 2005;85(7):516-522. doi:10.1002/zamm.200310199 .
Stevanović, Nevena, Đorđević, Vladan D., "On the simultaneous effects of gas rarefaction, wall porosity, and inertia in microchannel flows" in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik, 85, no. 7 (2005):516-522, https://doi.org/10.1002/zamm.200310199 . .