The stationary heat conduction problem for isotropic shallow shells under the influence of heat sources which are evenly concentrated on the two-dimentional area.
Keywords:
shallow shell, heat conduction problem, stationary heat exchange, Legendre polynomialsAbstract
The stationary heat conduction problem for thin isotropic shallow shells under the influence of heat sources which are evenly concentrated on the two-dimension area, was solved. The approximation of temperature function and of its first derivative by thickness coordinate of partial sums of series in Legendre polynomials was used. Temperature depending on the distance to heat sources and on the shell curvature was considered with symmetrical and asymmetrical heat transfer.
