An exact analysis of low Peclet number heat transfer in laminar flow with axial conduction

An exact method of analysis is presented for solving the low Peclet number thermal entry region problem for laminar flow inside a circular tube, including the effects of axial conduction in both the upstream and the downstream directions. The local Nusselt number for uniform wall heat flux conditions is determined for Pe = 0.5, 1, 5, 20, 45 and ∞ at different locations along the thermal entry region. The method is simple and easy to apply, and provides a new approach for the analysis of thermal entry region problems with axial conduction.