THERMAL SHOCK OF AN INFINITE HOLLOW CYLINDER

Abstract

The equations to obtain the temperature and the thermal stress profiles in an infinite hollow cylinder have been derived under various boundary conditions with respect to the sudden cooling: a) constant film heat transfer coefficient, b) constant heat flux. The boundary conditions used in this paper were classified as follow: I) Both surfaces relate to a). II) Both surfaces relate to b). Ill) Inner surface relates to a) and the other one relates to b). IV) Inner surface relates to b) the other one relates to a).
Furthermore, correlative equations of the nondimensional maximum thermal stress with respect to the Biot''s number and the nondimensional heat flux have been proposed for the boundary conditions mentioned above. These equations can be applied to predicting the thermal fracture of materials.