Numerical solution of one-dimensional inverse transient heat conduction by finite difference method
Abstract
A simple and accurate finite-difference extrapolation method is proposed for solving one-dimensional inverse heat conduction problems for solids with temperature history specified at two interior points. The analysis assumes constant thermal properties for the solid, but can be suitably modified to include temperature-dependent thermal properties of the material. The transient temperature distribution inside the solid, the surface temperature, heat flux and total heat transferred in a given time are obtained simultaneously from known transient temperatures at two points inside the solid. A single computer program is used for the numerical computation of a one-dimensional inverse heat conduction problem in planar, cylindrical, or spherical coordinates.
- Publication:
-
American Society of Mechanical Engineers
- Pub Date:
- November 1975
- Bibcode:
- 1975asme.meetR....D
- Keywords:
-
- Conductive Heat Transfer;
- Finite Difference Theory;
- Surface Temperature;
- Temperature Distribution;
- Transient Heating;
- Heat Flux;
- Inversions;
- One Dimensional Flow;
- Surface Properties;
- Three Dimensional Flow;
- Two Dimensional Bodies;
- Fluid Mechanics and Heat Transfer