This study deals with the thermal performance of a flat copper heat pipe with a capillary structure composed of orthogonal grooves filled with water, so-called flat orthogonally grooved heat pipe. The orthogonal grooves are created using a CNC machine and filled using an automated filling apparatus. Under optimal operating conditions (thermosyphon position and cold source temperature of 40 °C), experimental results show that flat orthogonally grooved heat pipes effective thermal conductivity is approximately three times that of copper. Similarly, it is found that the flat orthogonally grooved heat pipe has lower thermal resistance than the flat axially grooved heat pipe studied in a previous work. Furthermore, a heat transfer analysis demonstrates that flat axially grooved heat pipe outperforms the flat orthogonally grooved heat pipe by up to 50% in evaporation, whereas the flat orthogonally grooved heat pipe performs up to 35% better than the flat axially grooved heat pipe in condensation. Based on a dimensionless analysis, heat transfer correlations for evaporation and condensation are proposed. The gap between evaporation and condensation heat transfer coefficients calculated by the correlations and those determined experimentally varies between ± 10% and ± 20%. Finally, a model based on energy conservation equations is proposed to predict the temperature distribution along the flat orthogonally grooved heat pipe. The distributions in wall temperature obtained from the model are consistent with experimental measurements.