Hydrodynamic Behavior of the Sliding Surface with Semicircular Pores: Theoretical and MATLAB Considerations

A mathematical model, theoretical and numerical solutions are represented for non-contacting sliding surfaces with pores having a half-round form. The theoretically based expressions for the hydrodynamic pressure, the maximum positive pressure and the load capacity were obtained for a cell which includes the inside and outside of the pore areas. The cell and pore dimensions were studied in the range 7.5…100 and 5... 20 micron respectively. The obtained expressions were validated with the MATLAB ODE-solver. It is shown that behavior of the sliding surfaces with semicircular pores can be achieved for the pores with pore radii-gap ratio about 0.5 … 2 and the control cell dimensions to pore radii ratios about 3 … 5. The rate of performance improvement becomes small above these values. In general, the optimum pore size decreases at higher pore cell-pore ratios and lower pore-gap ratio values.