Abstract
An inverse heat conduction problem for nanoscale structures was studied. The conduction phenomenon is modelled using the Boltzmann transport equation. Phonon-mediated heat conduction in one dimension is considered. One boundary, where temperature observation takes place, is subject to a known boundary condition and the other boundary is exposed to an unknown temperature. The gradient method is employed to solve the described inverse problem. The sensitivity, adjoint and gradient equations are derived. Sample results are presented and discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2165-2181 |
| Number of pages | 17 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 60 |
| Issue number | 13 |
| DOIs | |
| State | Published - Aug 7 2004 |
Keywords
- Boltzmann transport equation
- Inverse heat conduction problem
- Nanoscale
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics