Hydrodynamics of the Trapping Flow of a Gear Pump

Abstract

This paper deals with the theoretical study of the pressure rise built up in the liquid trapped between the gears at the meshing point of a gear pump, taking both the local and the convective acceleration of the trapping flow into consideration, the latter of which has been ignored in the author's former paper. The main results are as follows : (1) The convective acceleration has the effect of raising the pressure rise, while the local acceleration has the effect of reducing it. (2) Both effects are comparable and neither of them may be ignored compared with the effect of viscosity. (3) As for the effect only of local acceleration, the present result shows the same tendency and order of magnitude as the former one.