THE TEMPERATURE FIELD PRODUCED IN THE GROUND BY A HEATED SLAB LAID DIRECT ON GROUND, AND THE HEAT FLOW FROM SLAB TO GROUND

摘要

The mathematical equations of the temperature distribution field produced by a warm floor slab in the underlying homogeneous, isotropic ground have been solved and the heat quantities flowing from the slab to the ground, in the stationary state, have been calculated for slabs of rectangular form, of the shape of a narrow strip, and of circular shape. In the solutions those boundary conditions have been found which are most appropriate for use in cases occurring in actual practice.nNon-stationary temperature fields for which the surface temperature of the slab or the thermal flow from the slab to the ground is known as a function of time are presented for a slab having the shape of a narrow strip. The equations can also be employed to calculate the field, varying with time, which exists in the vertical section in the middle of an elongated, rectangular slab. Fourier's and Henkel’s transformations have been employed in the solutions and the unknown functions involved have been found by means of a systematic procedure, e.g., as solutions of dual integral equations.