“…This reduction in flow resistance results in the loss of fluid film pressure due to leakage flow in to porous matrix, increase in attitude angle, and consequently reduction in stability of the bearing. 13,25,26 Whereas for lower values of β, loss of pressure due to leakage is reduced and variation in the fluid film pressure distribution is not much significant, hence not much variation in the attitude angle. 27 Figure 6.Variation of load and attitude angle with Λ for various β.…”
Steady state characteristics of finite hydrostatic double layer porous oil journal bearing are investigated theoretically by incorporating tangential velocity slip at the porous-film interface given by Beavers-Joseph. The governing equations for flow in the porous medium and modified Reynolds equation in the film region are solved simultaneously using finite difference method. The effects of slip and design variables such as feeding parameter, bearing number, eccentricity ratio, slenderness ratio, and anisotropy of permeability have been investigated on bearing performance characteristics like loadcarrying capacity, attitude angle, friction variable, and volume flowrate. The results are depicted in the form of graphs that can be utilized during design.
“…This reduction in flow resistance results in the loss of fluid film pressure due to leakage flow in to porous matrix, increase in attitude angle, and consequently reduction in stability of the bearing. 13,25,26 Whereas for lower values of β, loss of pressure due to leakage is reduced and variation in the fluid film pressure distribution is not much significant, hence not much variation in the attitude angle. 27 Figure 6.Variation of load and attitude angle with Λ for various β.…”
Steady state characteristics of finite hydrostatic double layer porous oil journal bearing are investigated theoretically by incorporating tangential velocity slip at the porous-film interface given by Beavers-Joseph. The governing equations for flow in the porous medium and modified Reynolds equation in the film region are solved simultaneously using finite difference method. The effects of slip and design variables such as feeding parameter, bearing number, eccentricity ratio, slenderness ratio, and anisotropy of permeability have been investigated on bearing performance characteristics like loadcarrying capacity, attitude angle, friction variable, and volume flowrate. The results are depicted in the form of graphs that can be utilized during design.
“…The effect of slip becomes prominent at lower values of permeability factor which reduces the resistance to fluid flow and further leads to a reduction in the hydrodynamic action of the fluid in clearance space. 16,17 As the slip reduces the resistance to fluid flow at the porous-film interface the volume flow rate increases. This can be observed from the graph that with slip the load carrying capacity decreases and the volume flow rate increases.…”
Section: Resultsmentioning
confidence: 99%
“…" M and l can be calculated by solving equations (16) and (17) simultaneously. " M thus realized is the critical mass parameter above which the bearings are unstable, and the corresponding l is the whirl ratio.…”
Section: Dynamic Coefficients and Stabilitymentioning
Modeling air/gas lubricated double-layered porous journal bearing requires the solution of compressible Reynolds equation. It is observed that at higher bearing numbers, treatment of Reynolds equation with finite difference method using second-order central difference exhibits instabilities due to convective term dominance. To address such instabilities, Reynolds equation is discretized using finite volume and a third-order interpolation scheme to obtain variable values at grid point centers. Multistage Runge–Kutta method and biconjugate gradient stabilized method are used for solving governing equations at film and porous regions, respectively. Steady state and stability characteristics of finite double-layered porous air journal bearings considering Beavers–Joseph velocity slip at porous-film interface are obtained. Numerically stable results are obtained for bearing numbers up to 150 and feeding parameter values ranging from 0.01 to 10.
“…Indeed, in addition to its power of self‐lubrication, the presence of porous materials into the bearings enhances the hydrodynamic contact performances. Many studies, based on Darcy's model, deal with the use of porous materials in lubrication and show beneficial effects on the surface time life. Lin and Lin et al have also investigated these effects by applying the Brinkman model to analyse the viscous shear stresses into the porous materials.…”
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