A personal fan has a stable mounting base with a bottom surface adapted to lie against the chest of a wearer and a top surface. The stable mounting base is in the form of a weighted shallow robust body having a length and breadth substantially greater than its thicknes. A tiltable shroudless fan unit is mounted on the top surface. A control for the fan is located on the body. A cord is attachable to the body to permit the body to be suspended around the neck of the wearer such that the bottom surface lies snugly against the wearer's chest and the shroudless fan unit can be oriented to direct airflow onto the user's face and the control is accessible to the user.