## Lateral Forces on Hydraulic Pistons Caused by Axial Leakage Flow |

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Appendix assume average peripheral pressure axial centerline axial land length axial pressure gradients axial rotation bore wall boundary conditions calibration capillary flow center of pressure centering force Chapter Circular Cylindrical Land component configurations constant coordinate dimensional analysis dimensionless downstream orifice Equation 3C Equation 6d evaluation experimental Figure 2b flow rate flow region fluid bearing fluid flows fluid force fluid friction fluid pressure force versus displacement function gap height high spots inches integrated laminar flow land and bore land and cylinder land type Laplace's equation lateral displacement lateral force results Linearsyns orders of magnitude partial fraction expansion peripheral length peripheral pressure gradients pressure distribution pressure drop pure axial flow radial clearance radial step radial symmetry rate of change region of flow resistance to flow shown in Figure solution stepped land sure gradients tapered land tion unit circle unit peripheral width upstream orifice velocity viscosity yields zero displacement