In this paper

an equation for the local blood-side Sherwood number is derived from the advancing front theory (AFT) for mass transfer of oxygen in a parallel plate membrane oxygenator. The maximum deviation of the approximate solution in comparison to the classical Graetz-Leveque solution is reduced to 6.58% from 22.3% by srinivasan et al. The simple analytical expressions enable analysis of the effect of oxygen reaction and membrane resistance on mass transfer. The design criteria for the channel length of a parallel plate membrane oxygenator are proposed.