Experiments with two electrohydrodynamic heat pipes are reported. Both devices employ an electromechanical flow structure for axial liquid flow and a capillary wicking structure for (i) collection of condensed liquid at the cooled end and (ii) distribution of this liquid at the heated end. One device has circumferential grooving for the capillary structure and the other has feltmetal wicking. The experiments successfully demonstrate the electrohydrodynamic heat pipe concept. Compatibility of the two circumferential wick structures with an axial electromechanical flow structure is also demonstrated. A significant mismatch of the capillary groove and electrohydrodynamic pumping capabilities results in severe hydrodynamic burn‐out limiting in the first heat pipe. Both devices have very poor over‐all thermal conductances of the order of 1–2 W/°C, reflecting the generally poor heat‐transfer properties of the dielectric working fluids required in electrohydrodynamic heat pipes.