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Appl. Sci. 2020, 10, x FOR PEER REVIEW 6 of 14 To validate the hydrostatic bearing analysis model developed in the present study, the computed results were compared with the data available in [22]. The hydrostatic bearing in [22] was Appl. Sci. 2020, 10, 6824 6 of 13 a water-lubricated radial bearing with four recesses; specifications of the bearing are listed in Table 2. For other information, the same conditions as those in [22] were applied. radial bearing with four recesses; specifications of the bearing are listed in Table 2. For other information, Table 2. Design parameters of hydrostatic bearing [22]. the same conditions as those in [22] were applied. Properties Symbol Unit Value Table 2. Design parameters of hydrostatic bearing [22]. Diameter PropertLiesngth Symbol D L C ω - ρ Discharge coefficient D L C ω - ρ μ Cd ps - n d Figure 4 shows the predicted stiffness and damping according to changes in the rotating speed. The results in [22] and those calculated using the analysis program of the current study are presented The results in [22] and those calculated using the analysis program of the current study are presented herein. The analytical results demonstrate that the results from [22], and the calculations from the herein. The analytical results demonstrate that the results from [22], and the calculations from the analysis program used in this study were within 5% of each other. analysis program used in this study were within 5% of each other. (a) (b) Figure4.Stiffffnessanddampingforhydrostaticradialbearingin[22].(a)Stiffffness;(b)Damping. Supply pressure p s - n bar mm 17 Recess size mm 10 × 8 Recess size EA 10 × 8 Recess number 4 0.64 Recess number EA mm 4 0.64 Orifice hole diameter mm Orifice hole diameter d Figure 4 shows the predicted stiffness and damping according to changes in the rotating speed. mm 20 Radial clearance Unitmm mm V14alue 0.039 Diameter LRenogtathting speed mm mmrpm 20 50,01040 Radial clearance mm rpm - 0.039 Rotating speed kg/m3 50,000 Lubricant - kg/m3 μPas Water Density - - bar 998.6 Lubricant Water Density 998.6 Viscosity μPas 1005 Viscosity μ DischarSguepcpoelyffipcirenstsure Cd 0.875 1005 107.875 4.2. Determination of Orifice Diameter 4.2. Determination of Orifice Diameter To select a proper orifice diameter for a hydrostatic bearing, the bearing stiffness and the flow rate To select a proper orifice diameter for a hydrostatic bearing, the bearing stiffness and the flow according to the recess pressure ratio were calculated. As shown in Figure 1, because the pump-drive rate according to the recess pressure ratio were calculated. As shown in Figure 1, because the pump- turbine to be developed was installed and operated in the vertical direction, the shaft center operated at drive turbine to be developed was installed and operated in the vertical direction, the shaft center the concentric location of the bearing. Therefore, analysis was conducted for a case with an eccentricity operated at the concentric location of the bearing. Therefore, analysis was conducted for a case with of 0, and the rotating speed was the rated speed of 21,000 rpm. an eccentricity of 0, and the rotating speed was the rated speed of 21,000 rpm. Figure 5 shows the bearing stiffness and flow rate according to the recess pressure ratio. In this study, two translational degrees of freedom were considered for the rotor, and the bearing stiffness described in Figure 5a indicates the value of kxx as defined in the coordinate system shown in Figure 2. Figure 5a also shows the orifice diameter corresponding to the recess pressure ratio. The analyticalPDF Image | Development of Pump-Drive Turbine Module Super CO2 Application
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