Version 1
: Received: 21 April 2018 / Approved: 23 April 2018 / Online: 23 April 2018 (11:50:03 CEST)
How to cite:
Hoffmann, A.C.; Karakitsiou, S.; Holst, B. Exact solutions for the axial pressure drop in isothermal channels with maxwell slip flow. Preprints2018, 2018040288. https://doi.org/10.20944/preprints201804.0288.v1
Hoffmann, A.C.; Karakitsiou, S.; Holst, B. Exact solutions for the axial pressure drop in isothermal channels with maxwell slip flow. Preprints 2018, 2018040288. https://doi.org/10.20944/preprints201804.0288.v1
Hoffmann, A.C.; Karakitsiou, S.; Holst, B. Exact solutions for the axial pressure drop in isothermal channels with maxwell slip flow. Preprints2018, 2018040288. https://doi.org/10.20944/preprints201804.0288.v1
APA Style
Hoffmann, A.C., Karakitsiou, S., & Holst, B. (2018). Exact solutions for the axial pressure drop in isothermal channels with maxwell slip flow. Preprints. https://doi.org/10.20944/preprints201804.0288.v1
Chicago/Turabian Style
Hoffmann, A.C., Stamatina Karakitsiou and Bodil Holst. 2018 "Exact solutions for the axial pressure drop in isothermal channels with maxwell slip flow" Preprints. https://doi.org/10.20944/preprints201804.0288.v1
Abstract
Expressions for the axial pressure profiles in a cylindrical channel and between parallel plates or a rectangular channel with large aspect ratio, with Maxwell slip gas flow are derived from first principles. The resulting expressions, which only involve the inlet and outlet pressures and the channel dimensions, will be useful in modelling or simulations of channel flows at Knudsen numbers in the range 0.001–0.1, such as in MEMS and NEMS. The expression for a cylindrical channel is validated by deriving from it an expression for the channel mass flow, which is shown to agree with a known expression for the mass flow through cylindrical channels with Maxwell slip flow. The expression for flow between parallel plates is found to agree with the zeroth order relation derived by Arkilic et al. using perturbation analysis. The effect of the accommodation coefficient on the pressure profile in a cylindrical channel is shown.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.