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Appl. Sci. 2020, 10, x FOR PEER REVIEW 4 of 14 direction for each row. The axial recess location was selected such that the land width ratio equals Appl. Sci. 2020, 10, 6824 0.25. Table 1 shows the other design parameters of the radial bearing. 4 of 13 3.1T.hBeoareintigcPalerMforomdaenlce Analysis Figure 2. Illustration of hydrostatic radial bearing. Figure 2. Illustration of hydrostatic radial bearing. Table 1. Design parameters for hydrostatic radial bearing and rotor. Table 1. Design parameters for hydrostatic radial bearing and rotor. Symbol Unit Value Properties Properties Symbol Unit Value Diameter D mm 70 70 Diameter D Length L mm Length L mm 70 0.04 21,000 Radial clearance C Radial clearance mm 70 0.04 Rotating speed ω mm Hole loRcoataiotning speed l Supply pressure p Hole location s Supply temperature Ts Supply pressure Discharge pressure pe Supply temperature rpm mrmpm 21,00017.5 70 20 60 1.8 0.8 1.8 17.8 0.8 17.8 Orifice hole diameter d Discharge pressure deg Discharge coefficient Cd RoOtoriwficeeightole diameter- bar When operating the hydrostatic bearing in a steady state, the pressure of the bearing land part is 3.1. Bearing Performance Analysis When operating the hydrostatic bearing in a steady state, the pressure of the bearing land part calculated using the Reynolds equation, which can be expressed as shown in Equation (1). ∂ ∂P ∂ ∂P ∂H is calculated using the Reynolds equatio3n, which can 3be expressed as shown in Equation (1). C ω l ps Ts pe d Cd - mm bar 17.5 70 20 60 mm deg bar mm bar - k mg m 3. Theoretical Model Discharge coefficient Rotor weight - kg ∂θH∂θ +∂ZH∂θ =Λ∂θ (1) ∂ H3 ∂P+ ∂ H3 ∂P=Λ∂H (1) ∂θ ∂θ ∂Z ∂θ ∂θ The dimensionless variables used in Equation (1) are defined in Equation (2) 2 The dimensionless variables used in Equatipon (1) are define6dμiωn Equation (2) x z h R θ=R,Z=R,P=p,H=C,Λ= p C2 (2) aa θ=x,Z=z,P= p,H=h,Λ=6μωR (2) where C is the bearing clearance, R is theRbearingp radius,Ch is the fiplm thCickness, μ is the viscosity of the a a lubricant, and ω is the rotating speed of the shaft. where C is the bearing clearance, R is the bearing radius, h is the film thickness, μ is the viscosity of The boundary conditions of the Reynolds equation above are as follows the lubricant, and ω is the rotating speed of the shaft. The boundary conditions of the Reynolds equation above are as follows P(θ, 0)=P(θ, L)=Pe P(θ, z) = P(2π+θ, z) (3) P = Pr at recessPDF Image | Development of Pump-Drive Turbine Module Super CO2 Application
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