Three-dimensional non-linear variational analysis of a nonhomogeneous heat conduction problem - Finite element results
Abstract
A nonlinear nonhomogeneous steady state thermal conduction problem is analyzed by a finite element method based on an original variational procedure. The practical motivation of this study is the determination of the temperature field in future projects of new solidification apparatus, for the production of cast-to-size turbine blades in directional solidification of superalloy composites. The purpose of the paper is to present numerical results on a complex three-dimensional structure. The interpretation of the results shows the good accuracy of the analysis. It should be recalled that finite difference or finite volume methods would be very difficult to apply for such three-dimensional cases.
- Publication:
-
NASA STI/Recon Technical Report A
- Pub Date:
- 1981
- Bibcode:
- 1981STIA...8146259O
- Keywords:
-
- Conductive Heat Transfer;
- Directional Solidification (Crystals);
- Refractory Materials;
- Three Dimensional Flow;
- Variational Principles;
- Finite Element Method;
- Inhomogeneity;
- Nonlinear Equations;
- Structural Design Criteria;
- Temperature Gradients;
- Thermal Conductivity;
- Fluid Mechanics and Heat Transfer