This paper presents a new mathematical model for determining thermal d
iffusivities of very common solid geometrical objects such as an infin
ite slab, infinite cylinder, or sphere cooled in a medium. In practice
the model will be implemented by using the center temperature measure
ments of these solid objects, and then the cooling coefficients will b
e obtained. The cooling coefficient, which is the most important proce
ss parameter, has a strong effect on the thermal diffusivity. An illus
trative example of the use of the model is presented. In addition, new
characteristic equations of the transient heat transfers for these ge
ometrical objects were developed. The results of this study show that
the present model can be considered as a simple and efficient tool for
determining thermal diffusitivies of geometrical objects subjected to
cooling.