Inverse Heat Conduction: Ill-Posed ProblemsWiley, 2 oct. 1985 - 308 pages Here is the only commercially published work to deal with the engineering problem of determining surface heat flux and temperature history based on interior temperature measurements. Provides the analytical techniques needed to arrive at otherwise difficult solutions, summarizing the findings of the last ten years. Topics include the steady state solution, Duhamel's Theorem, ill-posed problems, single future time step, and more. |
Table des matières
References | 40 |
EXACT SOLUTIONS OF THE INVERSE HEAT | 51 |
References | 75 |
Droits d'auteur | |
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Expressions et termes fréquents
approximation assumption ature B₁ Beck boundary conditions calculated Chapter constant heat flux control volume derivative difference equations digital filter dimensionless time step Duhamel's integral Duhamel's theorem exact matching example filter coefficients finite difference first-order regularization function specification method future temperatures future time steps gain coefficients given by Eq heat conduction equation heat conduction problem heat flux components heat flux history heat transfer coefficient IHCP algorithm ill-posed problems initial temperature insulated integral inverse heat conduction Inverse Problem least squares matrix measured temperatures measurement errors node nonlinear obtained partial differential equation procedure Section semi-infinite body sensitivity coefficients sequential regularization method shown in Figure surface heat flux surface temperature T₁ T₂ Taylor series temperature error temperature measurements thermal properties triangular heat flux tridiagonal matrix algorithm values variance vector W/m² W₁ whole domain regularization Y₁ Φι әт дх