Inverse Heat Conduction: Ill-Posed ProblemsHere 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. |
Contents
INVERSE HEAT CONDUCTION ESTIMATION | 4 |
References | 40 |
EXACT SOLUTIONS OF THE INVERSE HEAT | 51 |
Copyright | |
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Other editions - View all
Inverse Heat Conduction: Ill-Posed Problems James V. Beck,Ben Blackwell,Charles R. St. Clair (Jr.) Limited preview - 1985 |
Common terms and phrases
approximation ature B₁ Beck boundary conditions calculated Chapter constant heat flux control volume curve derivative digital filter dimensionless dimensionless time step Duhamel's integral Duhamel's theorem exact matching exact solution example finite difference function specification method future temperatures gain coefficients given by Eq heat conduction equation heat conduction problem heat flux components heat flux error 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 one-dimensional partial differential equation procedure Section semi-infinite body sensitivity coefficients shown in Figure surface heat flux surface temperature T₁ T₂ Taylor series temperature data temperature distribution temperature error temperature measurements temperature sensor thermal properties triangular heat flux values variance volumetric heat capacity W₁ whole domain regularization Y₁ Φι ат дх