<p>A bladeless fluid machine that contains a stator (1) in which a bladeless rotor (2) of a rotationally symmetrical shape is installed. Between the stator and rotor there is a coaxial channel (7). The stator (1) is equipped with at least one fluid inlet (8) and at least one fluid outlet (5) while the fluid outlet (5) is positioned away from the fluid inlet (8) in the direction of the axis of the bladeless rotor (2). The fluid inlet (8) is connected tangentially to the stator (1) and the coaxial channel (7) has the shape of a diffuser at least in part of its length.</p>