Abstract: This invention provides the fluid-handling device which includes a curved base member of which the surface is closed upon its self, for example a truncated cone, and an elastomeric member adapted to receive and enclose the base member. The elastomeric member defines a number of chambers at its contact with the base member, these including an inlet chamber divided by a sloping partition integral with the elastomeric member, and a outlet chamber also divided by a sloping partition intergral with the elastomeric member. The elastomeric member also includes a dome adjacent the end or truncation of the base member, and this dome defines with the base member a chamber of variable volume, which is connected to the inlet and outlet chambers by suitable passageways which result in a pumping action when the dome is depressed and then released.