Abstract: This invention relates to the novel method for stabilizing the pressure sensed by the downstream-facing port of a pitot tube type flowmeter over a broad flow range, thereby providing a stable and repeatable flow coefficient. The invention comprises localizing the areas of boundary layer separation across deflecting surfaces located upstream of said port by sharply contouring the edges thereof and directing the flowing stream thereacross, and preventing reattachment of said boundary layer by positioning and contouring the surfaces containing said port downstream of said sharply contoured edges so as to continuously lie within the wake of the fluid flowing around the latter over a broad range of flow rates.