Slip flow heat transfer in an infinite microtube with axial conduction

This paper deals with analytical solution of steady-state heat transfer for laminar, two-dimensional and rarefied gas flow in an infinite microtube subjected to mixed boundary conditions. To account for the slip-flow characteristics of microscale heat transfer, temperature jump condition at the wall has been incorporated in the model while the fluid velocity is assumed to be constant (slug flow). The energy equation in the thermal entrance region has been solved by the method of separation of variables. The solution yields closed form expressions for bulk-mean temperature and Nusselt number in terms of Knudsen number and Peclet number.