Variable thermal conduction in a composite wall with constant properties
Abstract
The paper describes an analytic method used to solve the problem of variable heat conduction in a composite wall with constant properties. A composite wall composed of sections with constant but different thermophysical properties is transformed analytically into a wall with a homogeneous thermic diffusivity. A unique Fourier number representing a reduced time can be defined for this homogeneous wall. This procedure is used in conjunction with a separation of variables which permits the construction of an elementary solution of rank k associated with the eigenvalue of rank k for the assemblage of sections.
- Publication:
-
Academie des Sciences Paris Comptes Rendus Serie B Sciences Physiques
- Pub Date:
- June 1978
- Bibcode:
- 1978CRASB.286..303G
- Keywords:
-
- Composite Structures;
- Conductive Heat Transfer;
- Numerical Analysis;
- Walls;
- Eigenvalues;
- Fourier Analysis;
- Matrices (Mathematics);
- Temperature Distribution;
- Thermal Diffusivity;
- Thermodynamics;
- Thermophysical Properties;
- Fluid Mechanics and Heat Transfer