Heat and mass transfer inside micro-tubes with uniform injection

•Numerical simulation of fluid flow inside micro-tube with small injection at the wall.•Simultaneously developing laminar flow.•Slip velocity and temperature jump boundary conditions.•The Control Volume Method and the Simpler algorithm.•Validation of numerical simulation.

This work deals with a numerical study of the transport phenomena along a micro-tube subjected to an injection at the wall. The governing equations expressing the conservation of mass, momentum and energy with first-order slip velocity and temperature jump boundary conditions were solved numerically. The numerical model based on the Finite Volume Method was validated using the available data. The study reveals significant impact of slip velocity and temperature jump conditions on the hydrodynamic and thermal flows. For very small injection rates, all profiles and quantities remain unchanged compared to the impermeable wall case.