An inline measuring device, includes a measuring transducer having: at least one measuring tube vibrating, during operation, and serving for conveying, at least at times, a two- or multiphase, flowable medium; an exciter mechanism for producing vibrations of the measuring tube; and a sensor arrangement for registering vibrations of the measuring tube and for delivering oscillation measurement signal representing oscillations of the measuring tube. Measuring device electronics electrically coupled with the measuring transducer. The measuring device electronics delivers, at least one exciter signal driving the exciter mechanism, and, ascertains a damping value of a first type, which represents, instantaneously, a damping of vibrations of the at least one measuring tube induced by medium conveyed in the at least one measuring tube and antisymmetric with reference to an imaginary central plane of the at least one measuring tube coplanar with a cross section of the measuring tube, and/or which represents, instantaneously, a damping of vibrations of the at least one measuring tube induced by medium conveyed in the at least one measuring tube.