Application of the finite element method to the nonlinear inverse heat conduction problem using Beck's second method

Conference · Sun Jan 01 00:00:00 EST 1978

DOI:https://doi.org/10.1115/1.3183849· OSTI ID:6798809

Bass, B R

The application is presented of a solution technique for the inverse problem that utilizes a finite element heat conduction model and Beck's nonlinear estimation procedure. The technique is applicable to the one-dimensional nonlinear model with temperature-dependent thermophysical properties. The formulation is applied first to a numerical example with a known solution. The example treated is that of a periodic heat flux imposed on the surface of a rod. The computed surface heat flux is compared with the imposed heat flux to evaluate the performance of the technique in solving the inverse problem. Finally, the technique is applied to an experimentally determined temperature transient taken from an interior point of an electrically-heated composite rod. The results are compared with those obtained by applying a finite difference inverse technique to the same data.

• Research Organization: Union Carbide Corp., Oak Ridge, TN (USA). Nuclear Div.
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 6798809
• Report Number(s): K/CSD/INF-78/20; CONF-781202-16; TRN: 79-001932
• Resource Relation: Journal Volume: 102; Journal Issue: 2; Conference: ASME meeting, San Francisco, CA, USA, 10 Dec 1978
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
42 ENGINEERING
FUEL RODS
HEAT TRANSFER
MATHEMATICAL MODELS
FINITE ELEMENT METHOD
ENERGY TRANSFER
FUEL ELEMENTS
NUMERICAL SOLUTION
REACTOR COMPONENTS
220100* - Nuclear Reactor Technology- Theory & Calculation
420400 - Engineering- Heat Transfer & Fluid Flow