A formulation of the boundary element method for axisymmetric transient heat conduction
Abstract
The present paper develops a formulation of the boundary element method for the analysis of axisymmetric transient heat conduction problems. The axisymmetric time-dependent fundamental solution is obtained by directly integrating the three-dimensional one. Due to its complexity, series expansions have to be introduced in order to make possible the analytical evaluation of the time integrals that appear in the formulation. Several results of numerical analyses are presented, including problems with time-dependent boundary conditions, and they demonstrate the feasibility of using boundary elements in space and time to solve axisymmetric heat conduction problems.
- Publication:
-
International Journal of Heat and Mass Transfer
- Pub Date:
- May 1981
- DOI:
- Bibcode:
- 1981IJHMT..24..843W
- Keywords:
-
- Axisymmetric Flow;
- Boundary Element Method;
- Computational Fluid Dynamics;
- Conductive Heat Transfer;
- Transient Response;
- Boundary Conditions;
- Boundary Integral Method;
- Central Processing Units;
- Cylinders;
- Thermal Shock;
- Three Dimensional Flow;
- Fluid Mechanics and Heat Transfer