An apparatus for transporting fluid comprises a conduit (3), at least one fluid dividing means (5) such as a check valve or a semi-permeable membrane which divides the conduit (3) into an upstream side and a downstream side, and an oscillator (8) for moving the fluid dividing means (5). The fluid dividing means (5) in a first state prevents fluid communication between the upstream side and the downstream side and in a second state allows fluid communication between the upstream side and the downstream side. The fluid dividing means (5) is arranged in a piston (7') which is connected to the oscillator (8) for being imparted with a translational oscillating motion which causes the fluid dividing means (5) to be alternately brought into the first state and the second state so that an incremental fluid volume flows from the upstream side of the fluid dividing means (5) to the downstream side of the fluid dividing means (5).