In order to overcome the limitations and complexity of calculation methods for theoretical flow,displacement and pulsation coefficient of gear-pumps,starting from the theoretical tooth surface flow generated by a complete meshing tooth surface,a new method was proposed that the partial theoretical tooth surface flow within the double relief grooves is the theoretical output flow of the gear pumps;With 1.0 and 0.5 representing the presence and absence of the backlash,and by taking the asymmetric dimensionless width of the symmetrical line of double relief groove relative to the center line of gear-pair as two variables,the relevant concise formula of theoretical output flow characteristics was derived.The results show that under the same backlash type,the theoretical discharge without relief groove is the same as that with single relief groove,the classical formula of type coefficient with large backlash and single relief groove is indeed wrong;the theoretical displacement without backlash and symmetrical relief groove are larger,and flow fluctuation is smaller,but the trapped oil phenomenon is more serious;especially,the flow pulsation is very large and the trapped-oil phenomenon is very serious under single relief groove,so it is not recommended to use,etc.It is concluded that the principle of the new method proposed in here is more clear,the formulas are more concise,the results are more reliable and its generality is stronger.
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