A thermal, flow measuring device comprising a sensor with a metal sensor housing, which includes a cap with a lateral surface and an end face, wherein the sensor housing has at least first and second pin sleeves, which protrude starting from the end face, wherein the sensor housing has a first heater in a first of the two pin sleeves and a temperature sensor in a second of the two pin sleeves for ascertaining a temperature of the medium; wherein the end face of the cap is divided at least into a base area and at least a first planar area inclined relative to the base area by an angle, wherein a second heater is arranged on an inner surface of the cap in the region of this first area.