Equations for heating and cooling of bodies of various shapes

Equations for predicting temperatures in solids of various shapes undergoing heating or cooling are presented. The derived equations are compared with the available numerical values obtained for plates, cylinders and spheres. The centre and surface temperatures and the heat transferred can be described with a maximum deviation of −4.3/3.9%, even though the temperature profiles in these bodies are described with a maximum deviation of −6.8/7.6%.