Application of variational embedding technique to nonlinear heat transfer problems
Abstract
The variational bedding technique is presented as a new method of approximation that incorporates nonlinear boundary conditions and material property variations in a systematic manner. Reference is made to a study by Edelem (1969) in which the theory of variational embedding was systematically developed. The technique is used here in solving the radiative heat transfer problem of a semi-infinite body with variable thermal properties. The results for several examples are shown graphically, and comparisons are made with other available solutions. The variational embedding technique is shown to provide a systematic means of deducing the surface temperature history for one-dimensional nonlinear heat transfer problems.
- Publication:
-
AIAA Journal
- Pub Date:
- March 1983
- DOI:
- 10.2514/3.8098
- Bibcode:
- 1983AIAAJ..21..471C
- Keywords:
-
- Conductive Heat Transfer;
- Imbeddings (Mathematics);
- Radiative Heat Transfer;
- Surface Temperature;
- Variational Principles;
- Nonlinear Equations;
- Specific Heat;
- Temperature Dependence;
- Thermal Conductivity;
- Fluid Mechanics and Heat Transfer