ORMDIN: a finite element program for two-dimensional nonlinear inverse heat conduction analysis
The calculation of the surface temperature and surface heat flux from measured temperature transients at one or more interior points of a body is identified in the literature as the inverse heat conduction problem. Heretofore, analytical and computational methods of treating this problem have been limited to one-dimensional nonlinear or two-dimensional linear material models. This report presents, to the authors' knowledge, the first inverse solution technique applicable to the two-dimensional nonlinear model with temperature-dependent thermophysical properties. This technique, representing an extension of the one-dimensional formulation previously developed by one of the authors, utilizes a finite element heat conduction model and a generalization of Beck's one-dimensional nonlinear estimation procedure. A digital computer program ORMDIN (Oak Ridge Multi-Dimensional INverse) is developed from the formulation and applied to the cross section of a composite cylinder with temperature-dependent material properties. Results are presented to demonstrate that the inverse formulation is capable of successfully treating experimental data. An important feature of the method is that small time steps are permitted while avoiding severe oscillations or numerical instabilities due to experimental errors in measured data.
- Research Organization:
- Oak Ridge Gaseous Diffusion Plant, TN (USA)
- DOE Contract Number:
- AC05-84OT21400
- OSTI ID:
- 5450133
- Report Number(s):
- NUREG/CR-1709; ORNL/NUREG/CSD/TM-17; ON: TI85015885
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
220900* -- Nuclear Reactor Technology-- Reactor Safety
ACCIDENTS
COMPUTER CODES
CYLINDERS
ELECTRIC HEATING
ENERGY TRANSFER
FINITE ELEMENT METHOD
FUEL ASSEMBLIES
FUEL ELEMENT CLUSTERS
FUEL ELEMENTS
FUEL PINS
HEAT TRANSFER
HEATING
LOSS OF COOLANT
NUMERICAL SOLUTION
O CODES
REACTOR ACCIDENTS
REACTOR COMPONENTS
SIMULATION
TRANSIENTS
TWO-DIMENSIONAL CALCULATIONS