| Issue |
MATEC Web Conf.
Volume 286, 2019
14th Congress of Mechanics (CMM2019)
|
|
|---|---|---|
| Article Number | 08010 | |
| Number of page(s) | 3 | |
| Section | Heat Transfers, Mass Transfers, Renewable Energies and Environment | |
| DOI | https://doi.org/10.1051/matecconf/201928608010 | |
| Published online | 14 August 2019 | |
Jeffery-Hamel slip flow in a convergent microchannel with uniform wall temperature and streamwise heat conduction
Laboratory of Mechanics, Faculty of Science Ain Chock, Hassan II University, B.P. 5366, Maarif, Casablanca 20100 Morocco
* niagui.mohammed@gmail.com
* lahjomri@hotmail.com
This work is devoted to the determination of the analytical solution of the problem of the laminar forced convection of the Jeffery-Hamel slip flow through a convergent microchannel. The analytical solution is obtained by using a self-adjoint formalism of the functional analysis. The solution represents an extension of the solution obtained in the conventional continuum flow by considering the boundaries slip conditions at the wall and the streamwise heat conduction. This extension has been done by using a new matrix operator of three dimensions in the Hilbert space. The results show that the thermal characteristics are strongly influenced by the Reynolds, Prandtl and Knudsen numbers, the aperture angle of the channel and the streamwise heat conduction.
Key words: Convergent microchannel / Jeffery-Hamel slip flow / self-adjoint formalism / streamwise conduction.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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