Abstract: A rotary diaphragm fluid pump includes a rigid tubular body with internal annular groove, a tubular flexible diaphragm whose central portion is caused to orbit by an eccentrically driven bearing. Preferably the diaphragm is a moulding which features an elastic fixed abutment between the inlet and outlet ports, and internal reinforcement to ensure that the full diaphragm stroke is achieved. Two such pumps may compliment each other to produce a pulsation free output.