Abstract
A hybrid numerical method combining the application of the Laplace transform technique and the finite-difference method (FDM) or the finite-element method (FEM) is presented for non-linear transient thermal problems. The space domain in the governing equation is discretized by FDM or FEM and the non-linear terms are linearized by Taylor's series expansion. The time-dependent terms are removed from the linearized equations by Laplace transformation, and so, the results at a specific time can be calculated without step-by-step computation in the time domain. To show the efficiency and accuracy of the present method several one-dimensional non-linear transient thermal problems are studied.
Original language | English |
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Pages (from-to) | 1301-1308 |
Number of pages | 8 |
Journal | International Journal of Heat and Mass Transfer |
Volume | 34 |
Issue number | 4-5 |
DOIs | |
Publication status | Published - 1991 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes