Numerical solution of onedimensional inverse transient heat conduction by finite difference method
Abstract
A simple and accurate finitedifference extrapolation method is proposed for solving onedimensional 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 temperaturedependent 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 onedimensional 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