Abstract
An anlytical solution to the transient one dimensional linear heat conduction with time varying boundary conditions is obtained by means of similarity transformation via one-parameter groups. Two types of time varying boundary conditions are considered. These are; time varying surface temperature and time varying surface heat flux boundary conditions. In the analysis, thermal conductivity and thermal diffusivity, are assumed to be constant. The solution is generalized for a general polynomial type of time varying boundary conditions.
| Original language | English |
|---|---|
| Pages (from-to) | 89-97 |
| Number of pages | 9 |
| Journal | International Communications in Heat and Mass Transfer |
| Volume | 22 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1995 |
| Externally published | Yes |