A tubular pumping element for pumping a liquid is disclosed. The tubular pumping element includes an outer shell that has a bore with an inlet and an outlet at opposite ends of the bore. There is a flow path for the liquid from the inlet through the bore to the outlet. A support element is located within the bore of the outer shell. An elastic sleeve is located over the support element and has a plurality of expandable portions. The support element includes a plurality of fluid passages each coupled to a respective port on the surface of the support element under one of the plurality of expandable portions of the elastic sleeve. Introduction of a driving fluid into one of the fluid passages causes the expandable portion of the elastic sleeve that is proximate to the respective port to expand.