In order to resolve bigger errors in the current method applied to calculate backlash in external gear pumps, based on analyzing the impact of backlash and relief groove on trapped oil pressure and requiredbacklash, by the calculation of trapped volume and change rate of trapped volume and two majorleakage rates from trapped oil area through opening of relief groove and gap of backlash, a simple analysis model on trapped oil was established. By simulation of the maximum peak of trapped pressure, the accuratecalculation method was given to determine the reasonable backlash, and all results of backlash affected by working parameters were compared with that tested from existed literature. The results show that the established trapped oil model and calculated backlash are reliable, the effect of the air mixed in trapped oil and the outlet pressure on the select of backlash value can be ignored, but the rotate speed of pump has a greater effect on the select of backlash, in both combinations of narrow space distance of two relief grooves with small backlash and wide space distance of two relief grooves with small backlash, the former combination should be used preferentially. The accurate calculation of backlash value is proved to be a viable option for the design of the external gear pump.
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