B. Sawaf et al., AN INVERSE ANALYSIS TO ESTIMATE LINEARLY TEMPERATURE-DEPENDENT THERMAL-CONDUCTIVITY COMPONENTS AND HEAT-CAPACITY OF AN ORTHOTROPIC MEDIUM, International journal of heat and mass transfer, 38(16), 1995, pp. 3005-3010
An inverse analysis is used to estimate linearly temperature dependent
thermal conductivity components k(x)(T), k(y)(T) and specific heat ca
pacity C(T) per unit volume for an orthotropic solid. Simulated measur
ed transient temperature data are generated by adding random errors to
the exact temperatures computed from the solution of the two-dimensio
nal, direct transient heat conduction problem. An iterative procedure,
based on minimizing a sum of squares function with the Levenberg-Marq
uardt iterative procedure is used to solve the inverse problem.