TRANSIENT HEATING OF THIN PLATES
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
Pagination or Media Count:
Two classes of heating problems involving the heating of thin plates over a portion of their surface are considered. Such problems have numerous applications, one such application being the determination of the temperature rise in materials upon which a laser beam is directed. The heating effects caused by a laser beam fits into the class of problems for which the heating source has circular symmetry. The second class of problems arises when the source term has symmetry about a line on the surface. Solutions in the form of a definite integral are obtained for both classes of problems for a general time independent source of unspecified spatial distribution. Several solutions in closed form are obtained for particular source functions and for particular values of the various parameters of the problem. For the case of a disk source an error bound useful in the numerical quadrature of the integral solution is obtained.