The Library
Fundamental solutions to the R13 equations : efficient computation of 3D kinetic effects
Tools
Tools
Tools
Claydon, Rory, Shrestha, Abhay, Rana, Anirudh Singh, Sprittles, James E. and Lockerby, Duncan A. (2017) Fundamental solutions to the R13 equations : efficient computation of 3D kinetic effects. Journal of Fluid Mechanics, 833 . R4. doi:10.1017/jfm.2017.763
|
PDF
WRAP-fundamental-solutions-equations-kinetic-effects-Lockerby-2017.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (1499Kb) | Preview |
Official URL: https://doi.org/10.1017/jfm.2017.763
Abstract
Fundamental solutions (Green’s functions) are derived for the regularised 13-moment system (R13) of rarefied gas dynamics, for small departures from equilibrium; these solutions show the presence of Knudsen layers, associated with exponential decay terms, that do not feature in the solution of lower-order systems (e.g. the Navier–Stokes–Fourier equations). Incorporation of these new fundamental solutions into a numerical framework based on the method of fundamental solutions (MFS) allows for efficient computation of three-dimensional gas microflows at remarkably low computational cost. The R13-MFS approach accurately recovers analytic solutions for low-speed flow around a stationary sphere and heat transfer from a hot sphere (for which a new analytic solution has been derived), capturing non-equilibrium flow phenomena missing from lower-order solutions. To demonstrate the potential of the new approach, the influence of kinetic effects on the hydrodynamic interaction between approaching solid microparticles is calculated. Finally, a programme of future work based on the initial steps taken in this article is outlined.
| Item Type: | Journal Article | ||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics T Technology > TJ Mechanical engineering and machinery |
||||||||||||||||||
| Divisions: | Faculty of Science > Engineering Faculty of Science > Mathematics |
||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Gas flow, Gas dynamics, Nanofluids, Kinetic theory of gases, Rarefied gas dynamics, Fluid dynamics | ||||||||||||||||||
| Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||||||||||||
| Publisher: | Cambridge University Press | ||||||||||||||||||
| ISSN: | 0022-1120 | ||||||||||||||||||
| Official Date: | 25 December 2017 | ||||||||||||||||||
| Dates: |
|
||||||||||||||||||
| Volume: | 833 | ||||||||||||||||||
| Article Number: | R4 | ||||||||||||||||||
| DOI: | 10.1017/jfm.2017.763 | ||||||||||||||||||
| Status: | Peer Reviewed | ||||||||||||||||||
| Publication Status: | Published | ||||||||||||||||||
| Access rights to Published version: | Open Access | ||||||||||||||||||
| RIOXX Funder/Project Grant: |
|
||||||||||||||||||
| Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
