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AbstractField measurements have revealed that the pressure drop over a borehole during drilling of a slim oil well or a well with a long reach can depend significantly on the rotation speed of the drill pipe. This paper discusses analytical, numerical and experimental studies to explain this effect. Special attention is paid to the inertial forces in the liquid in the annulus caused by the rotation and eccentricity of the drill pipe. It is concluded that for large values of these inertial forces the axial pressure drop depends indeed significantly on the rotation speed of the drill pipe. A pressure drop simulator has been developed that includes this effect, and that is in good agreement with field test data.