Gas-flow animation by unsteady heating in a microchannel
We study the flow-field generated in a one-dimensional wall-bounded gas layer due to an arbitrary small-amplitude time variation in the temperature of its boundaries. Using the Fourier transform technique, analytical results are obtained for the slip-flow/Navier–Stokes limit. These results are compl...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Institute of Physics (AIP)
2013
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| Online Access: | http://hdl.handle.net/1721.1/78558 https://orcid.org/0000-0002-1670-2264 |
| _version_ | 1826213797257281536 |
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| author | Hadjiconstantinou, Nicolas Manela, A. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Hadjiconstantinou, Nicolas Manela, A. |
| author_sort | Hadjiconstantinou, Nicolas |
| collection | MIT |
| description | We study the flow-field generated in a one-dimensional wall-bounded gas layer due to an arbitrary small-amplitude time variation in the temperature of its boundaries. Using the Fourier transform technique, analytical results are obtained for the slip-flow/Navier–Stokes limit. These results are complemented by low-variance simulations of the Boltzmann equation, which are useful for establishing the limits of the slip-flow description, as well as for bridging the gap between the slip-flow analysis and previously developed free-molecular analytical predictions. Results are presented for both periodic (sinusoidal) and nonperiodic (step-jump) heating profiles. Our slip-flow solution is used to elucidate a singular limit reported in the literature for oscillatory heating of a dynamically incompressible fluid. |
| first_indexed | 2024-09-23T15:54:59Z |
| format | Article |
| id | mit-1721.1/78558 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:54:59Z |
| publishDate | 2013 |
| publisher | American Institute of Physics (AIP) |
| record_format | dspace |
| spelling | mit-1721.1/785582022-10-02T05:01:05Z Gas-flow animation by unsteady heating in a microchannel Hadjiconstantinou, Nicolas Manela, A. Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Mechanical Engineering Hadjiconstantinou, Nicolas Manela, A. We study the flow-field generated in a one-dimensional wall-bounded gas layer due to an arbitrary small-amplitude time variation in the temperature of its boundaries. Using the Fourier transform technique, analytical results are obtained for the slip-flow/Navier–Stokes limit. These results are complemented by low-variance simulations of the Boltzmann equation, which are useful for establishing the limits of the slip-flow description, as well as for bridging the gap between the slip-flow analysis and previously developed free-molecular analytical predictions. Results are presented for both periodic (sinusoidal) and nonperiodic (step-jump) heating profiles. Our slip-flow solution is used to elucidate a singular limit reported in the literature for oscillatory heating of a dynamically incompressible fluid. 2013-04-16T20:34:31Z 2013-04-16T20:34:31Z 2010-06 2010-02 Article http://purl.org/eprint/type/JournalArticle 1070-6631 1089-7666 http://hdl.handle.net/1721.1/78558 Manela, A., and N. G. Hadjiconstantinou. “Gas-flow Animation by Unsteady Heating in a Microchannel.” Physics of Fluids 22.6 (2010): 062001. ©2010 American Institute of Physics https://orcid.org/0000-0002-1670-2264 en_US http://dx.doi.org/10.1063/1.3437602 Physics of Fluids Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Physics (AIP) MIT web domain |
| spellingShingle | Hadjiconstantinou, Nicolas Manela, A. Gas-flow animation by unsteady heating in a microchannel |
| title | Gas-flow animation by unsteady heating in a microchannel |
| title_full | Gas-flow animation by unsteady heating in a microchannel |
| title_fullStr | Gas-flow animation by unsteady heating in a microchannel |
| title_full_unstemmed | Gas-flow animation by unsteady heating in a microchannel |
| title_short | Gas-flow animation by unsteady heating in a microchannel |
| title_sort | gas flow animation by unsteady heating in a microchannel |
| url | http://hdl.handle.net/1721.1/78558 https://orcid.org/0000-0002-1670-2264 |
| work_keys_str_mv | AT hadjiconstantinounicolas gasflowanimationbyunsteadyheatinginamicrochannel AT manelaa gasflowanimationbyunsteadyheatinginamicrochannel |