Temperature response of an infinitely thick slab to random surface temperatures
Abstract
Random process theory has been used to develop statistical relations for the temperature response in an infinitely thick slab when subjected to randomly varying surface temperatures. A realistic seasonal/diurnal temperature cycle with superimposed random hourly variations is used to represent the surface boundary condition. Frequency response, power spectral density, and standard deviation functions are determined as a function of slab depth for various times. For solid propellant material, the temperature drop is very rapid for the diurnal component but is only slightly attenuated for the seasonal cycle.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1976
 Bibcode:
 1976STIN...7715350H
 Keywords:

 Beams (Supports);
 Solid Propellant Rocket Engines;
 Surface Temperature;
 Temperature Distribution;
 Diurnal Variations;
 Power Spectra;
 Slabs;
 Solid Rocket Propellants;
 Fluid Mechanics and Heat Transfer