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Gauge pressure ratio Kgo
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(a) Supply pressure (Po Pa) 4 3 d d* 2 1
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8 d = d* n
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Feed hole diameter d (in 10 3)
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6 8 10 4 (b) Number of jets per row n
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4 3 d = d* 1 L/D
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the 1 2 Diametrical clearance 2ha (in 10 3)
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Annular A = pdho orifices d/4ho nular orifices oretical limit for an 3
d 2 d* 1 0 0 10
(c) Length-to-diameter ratio L/D 4 3 d 2 d* 1 0 0 01 02 03 d = d* 1 4(I/L)
(d) Jet station for two row bearings I/L
Fig 747: Jet diameter versus clearance for an annular orifice [3]
Gas Lubricated Bearings
It can be further seen that it is impossible to design a bearing at Kg = 04 for the available machining capability Figure 746 (b) can be used to determine the number of jets per row d is the minimum possible hole diameter (0005 in), whereas d* (00032 in) is the value calculated previously for Kg = 04 The number of jets per row (ie 3) is read from the horizontal axis from the intersection of (d/d* =16) and the curve Figure 748 shows that the three jets are not sufficient as these are not included in the curves A better design would be to use either six or eight feed holes per row of either a 50 10 3 in or 60 10 3 in diameter with both alternatives providing a gauge pressure ratio of between 06 and 08, since the ratio of d/d* is equal or less than 1 at the corresponding Kg values
Fig 748: Influence of the number of jets on the load coefficient [3]
Figure 748 shows the influence of dispersion and of the number of jets per row upon the bearing load capacity The two curves in the figure represent the theoretical work of Dudgeon and Lowe and the experimental data from the work of Robinson and Sterry The reduction in the load capacity due to the effect of dispersion reduces as the number of jets increases The two curves are quite identical especially when there are a higher number of jets per row The load capacity falls rapidly at a low number of jets due to dispersion, as a result of which most practical designs use between six and 12 jets per row, with more jets for low length-to-diameter ratios The increase in clearance for these bearings is compensated by increasing the number of jets without having to increase the diameter of the bearing The influence of non-axial flow in determining the choice of length-to-diameter ratio, and the position of the rows of jets is shown in Figure 749 and Figure 750 Figure 749 indicates the relationship between the jet position and the load coefficient It can be seen that the highest load coefficients are realized when the rows of jets are stationed between a quarter and one-eighth of the
Precision Engineering
W (Po Pa)LD
Kgo = 04 n=8 zero speed 02
L D 10 15 20
Load coefficient CL =
01 Simple orifices with circular pockets e = 05 For e = 09 multiply CL by 165 0 0 0125 0250 Jet station I/L 0375 0500 30
Based on theory of Dudgeon and Lowe and substantiated by several experimenters for air with Pa = 147 lbf/in2, (Po Pa) in range 20 to 100 lbf/in2, and 2ho in range 06 30 10 3 in
Fig 749: Influence of the jet position on the journal bearing load coefficient [3]
bearing length from the ends of the bearings Moving the row of jets closer to the end of the bearing will increase the effect of dispersion For short bearings, slot-fed bearings are usually preferred whenever possible The choice of six or eight feed holes per row and one or two rows of feed holes can now be decided The load coefficient at an eccentricity ratio of 05 is calculated to be CL =
100 W = = 0222 ( Po Pa ) LD 75(3)(2)
A calculated value of 0222 is used in Figure 749 The jet station value of 035 is determined from the horizontal axis using the intersection of the CL and L/D curve and the jet station values to the left of this intersection (ie 1/8 and 1/4) are applicable and those to the right (ie 1/2) are not considered In a nutshell, the value of the load coefficient is only exceeded by a bearing of two rows of feed holes between one quarter station and one eighth station It would be too risky to include the possibility of a half station On the other hand, Figure 750 shows the relation between the length-to-diameter ratio and the journal bearing load capacity coefficient based on diameter which is given as
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