Approximate equations for heat conduction in multilayered cylindrical shells
Abstract
A system of two coupled twodimensional heat conduction equations for multilayered cylindrical shells, whose layers are in perfect thermal contact, is formulated as a first approximation, consistent with the KirchhoffLove hypothesis in the theory of shells. This system of equations is deduced from the exact threedimensional heat conduction equation, by expanding the temperature function into an infinite series of Legendre polynomials with respect to the thickness coordinate of each layer. Some analytical examples of heat conduction problems are then given for the special cases where the resulting heat conduction equations can be decoupled.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1989
 Bibcode:
 1989STIN...9029614E
 Keywords:

 Approximation;
 Conductive Heat Transfer;
 Cylindrical Shells;
 Hypotheses;
 Coordinates;
 Legendre Functions;
 Thickness;
 Fluid Mechanics and Heat Transfer