A cannula assembly for applying a flow cannula for the introduction, circulation or diversion of flow media, in particular blood, in the human or animal body. The flow cannula has a main portion and a tip portion. The tip portion is elastic and, in a functional position, is configured to protrude in an arc shape at an angle from the main portion, and in an application position, is held in the direction of the longitudinal extent of the main portion by a guide device. The flow cannula may be fitted for the indication of pulmonary hypertension and pulmonary insufficiency. The one of more flow cannulas so connected to the heart, for example, through an incision of the jugular vein or subclavian vein may be connected, on the outside, to a membrane ventilator, such as a Novalung®, with oxygen supply and/or additional pump support.