AN ITERATIVE APPROACH TO THE SOLUTION OF INVERSE HEAT CONDUCTION PROBLEMS
- 1 July 1978
- journal article
- research article
- Published by Taylor & Francis Ltd in Numerical Heat Transfer
- Vol. 1 (3), 365-376
- https://doi.org/10.1080/10407787808913382
Abstract
A method is presented for determining the transient surface temperature of a solid when the temperature response as a function of time at an interior point within the solid is known. The method employs approximate iterative techniques suitable for the solution of one-dimensional transient thermal conduction problems in homogeneous or composite solids with constant thermal properties. An example problem is solved using a linear technique and a least-squares approach. This iteration technique exhibits a high degree of accuracy, rapid convergence, and excellent stability. In addition, an analytical expression is developed that predicts the computed surface noise resulting from fluctuations in the input data.Keywords
This publication has 5 references indexed in Scilit:
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