A magnetically inductive flow meter unit for determining a flow rate of a fluid flowing through a measuring tube, having a measuring tube having a measuring channel and a measuring sensor, which is disposed in the measuring channel and is oriented in alignment with the wall of the measuring tube, the measuring sensor including an electrode head, which is made of an electrically conductive material and has a fluid contact section, the electrode head being in direct contact with the fluid flowing through the measuring tube by means of the fluid contact section, the electrode head having an indentation on the side facing the fluid, which forms at least part of the fluid contact section.