Numerical solution for two-dimensional steady-state pressure distribution on spherical port plate of axial piston machines

Grid generation equations and Reynolds equation in spherical body-fitted coordinates were proposed and solved by using finite difference algorithm. An average approximation method was used to transform the implicit equation to the explicit equation during automatic grid generation, and the computation time is greatly reduced by contrast to that of the implicit equation. Pressure distribution on a spherical port plate of the hydraulic transformer is obtained and the computation results indicate that the pressure distribution between adjacent ports can not be neglected especially when the pressure of these ports has little difference. The pressure distribution on a plane port plate is obtained and the computation results are very closely to those of electrical analogy.