Improvement Of The Solution Of The Inverse Heat Conduction Problem (Ihcp) With The Laplace Transform Technique By Using The Converted Temperature Method

The inverse heat conduction problem (IHCP) with the Laplace transform technique is an exact solution method, and the surface heat flux and temperature can be obtained explicitly. However, if the temperature dependence of the thermophysical properties cannot be ignored, the nonlinear term of the heat conduction equation cannot be solved, and it is then necessary to approximate it to a linear equation. Therefore, the IHCP analysis error becomes remarkable under a high heat transfer coefficient condition where the temperature gradient near the surface is large. In this study, the converted temperature method was applied to the IHCP with the Laplace transform technique. Although in this method the error due to the temperature dependence of the thermal diffusivity remains, the nonlinear term, which is the main cause of the error, was possible to be solved exactly. When we evaluated this by numerical analysis, under a condition of using 0.08%C Al killed steel and SUS304, it was possible to accurately conduct analysis under a high cooling rate boiling heat transfer problem with a heat transfer coefficient of up to 12 kW/m(2)K. The standard deviations of the inverse analysis errors of the heat transfer coefficient were 0.096 kW/m(2)K and 0.156 kW/m(2)K, respectively. The error was reduced to 1/7 and 1/6, compared to the simple method (linear approximation).