A rotary catheter comprising a motor-driven flexible shaft rotatably disposed in a flexible tube having a fluid channel between them, a distal portion of the flexible shaft extending out of the tube and being free to move radially relative to the tube enabling the fluid channel to ingest large particles eased by motions between the rotating flexible shaft and the flexible tube, and pump means containing a thrombolytic drug connected to the fluid channel for infusing the drug through the fluid channel to the obstruction. An asymmetrical tip that is affixed to a distal end of the shaft has a substantially narrower cross section than its effective diameter so that fluid can flow alongside the tip and reach the area that the tip impacts the obstruction with the side of the tip and the tube aspirates fluid and the resulting particles into the channel.