Determination of gerotor pump theoretical flow

Abstract

The methodology for developing the mathematical expressions for determination of gerotor pump theoretical flow is presented in this paper. The theoretical flow is equal to current alteration of volume at working chambers that are linked with output side of the pump. For the calculation of the working chamber volume at gerotor pump the method that consider the influence of infinity small rotation angles of pump's working elements to elementary changing of volume are used and determination of working volume of chamber is done after integration. The developed analytical model is illustrated by numerical examples in which the influences of design parameters to variations of gerotor pump flow are analysed. The pump with fixed axes of shafts is considered in this paper but developed expressions by establishing specific kinematic relations can be, also, used at pumps with planetary motions.