Simultaneously developing laminar flow in an isothermal micro-tube with slip flow models

In this study, a two-dimensional steady state simultaneously developing laminar flow inside a micro-tube is investigated numerically under slip flow conditions. The first and second-order slip flow models have been implemented for the case where the viscous dissipation and axial conduction are included and a constant wall temperature boundary condition is specified. The results are obtained for several combinations of the Knudsen number Kn, the coefficient β and the Brinkman number Br. The study reveals a significant impact of slip flow and temperature jump on the hydrodynamic and thermal fields. A comparison of the first and second-order slip flow shows a considerable variation of the hydrodynamic flow and a weak impact on the thermal field particularly when the flow is fully developed.