Flow and oxygen transport dynamics of a pulsatile flow past an array of square and circular cross section microfiber is numerically investigated in the present work. The study is motivated to optimize the design of an Total Artificial Lung (TAL) under clinical trials. Effects of three non-dimensional parameters: Reynolds number, non-dimensional amplitude of free stream velocity and Keulegan Carpenter number on oxygen transport and total drag (resistance) of both the fibers are studied. Range of parameters investigated corresponds to operating range of TAL. For most of the cases investigated, results show enhanced oxygen transport for square fiber but higher resistance when compare with the circular fiber case under almost all flow conditions. For both fibers, oxygen transfer rate are enhanced at higher Reynolds number, higher velocity amplitude and lower KC values. Overall drag is found to decrease with increasing Reynolds number and decreasing amplitude and is not significantly effected by Keulegan Carpenter number.