Conjugate heat transfer in fully developed laminar pipe flow and thermally induced stresses

Thermal stresses developed in pipes due to conjugate heat transfer are important in engineering applications. In the present study, fully developed laminar flow through a pipe is considered. Uniform heat flux from the external surface of the pipe is introduced. The thermal stresses developed due to conjugate heating are analyzed. The governing flow and energy equations are solved numerically using a control volume approach. Thermal stresses due to temperature gradient are also computed. Various fluids and thermal conductivity ratios are taken into account. This helps to examine the effect of the thermal properties of fluid and pipe on the resulting stresses. It is found that the low Prandtl number and low thermal conductivity ratios result in almost uniform radial temperatures and low radial effective stresses.