Л = 61.6 and M = 0.08. As evident from Figure 6.6, very good agreement is found between the generalized Reynolds equation and the DSMC results. The pressure profile predicted by the first-order slip model exhibits significant deviations from the DSMC data. Predictions using a second-order slip model (not shown on the figure) also result in considerable errors (Liu and Ng, 2001). In Figure 6.6 (b), we consider a slider bearing with an identical geometric configuration as in case (a). However, the bearing number is increased to Л = 758 by increasing the plate speed to sonic conditions
0.7 0.6 0.5
FIGURE 6.6. Slider bearing pressure profiles for different Knudsen number and
bearing number combinations. The DSMC results are from (Alexander et al., 1994), and the Fukui and Kaneko data are from (Fukui and Kaneko, 1988). The “Current model” in the figure is from (Bahukudumbi and Beskok, 2003).
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(M = 1.0). Surprisingly, the pressure distributions predicted by different models are very similar. This is because of the high bearing number. Since the bearing number is the ratio of the Couette and Poiseuille flow rates, the Couette flow is dominant at high Л values. In Figure 6.6 (c), we con