Gas foil bearings have been incorporated into many applications since the technology was first introduced in the 1970s. Despite many successful integrations of that technology, broadening gas foil bearing applications remains challenging. One of the reasons for this is the limited load capacity and high power losses of axial thrust bearings. Often, an existing system with a high thrust load must be redesigned in order to adapt it to gas foil bearings. This involves the redesigning aerodynamic components to reduce the thrust load and alternative machine architectures to enable proper cooling flow for the bearings. These challenges have deterred adaptation of gas foil bearing technology into many potential turbomachinery systems. In view of this, it would be desirable to have improved gas foil thrust bearings for use in various applications, including turbomachinery systems.
The present disclosure may be better understood with reference to the following figures. Matching reference numerals designate corresponding parts throughout the figures, which are not necessarily drawn to scale.
As noted above, it would be desirable to have improved gas foil thrust bearings for use in various applications, including turbomachinery systems. Examples of such gas foil thrust bearings are disclosed herein. In some embodiments, the gas foil thrust bearings comprise multiple arcuate bearing pads, each pad including a top foil having a taper region, a flat land region, and a pocket recess.
In the following disclosure, various specific embodiments are described. It is to be understood that those embodiments are example implementations of the disclosed inventions and that alternative embodiments are possible. Such alternative embodiments include hybrid embodiments that include features from different disclosed embodiments. All such embodiments are intended to fall within the scope of this disclosure.
μ Viscosity
QL Radial leakage flow rate
pa Ambient pressure
C Nominal film clearance
h, H Dimensional, non-dimensional film thickness
p, P Dimensional, non-dimensional film pressure
r Radial coordinate
θ Circumferential coordinate
ω Angular velocity
L Power loss
Ro, Ri Outer, inner radii
τp, Σc Poiseuille, Couette flow shear stresses
l Dimensional time
w Plate deflection
D Flexural rigidity
kbump Areal bump structural stiffness bump
Gas foil thrust bearings (GFTBs) are rotary bearings designed to confine axial movement, bear axial loads, and absorb axial vibrations. Such bearings include multiple arcuate top foils that are supported on a bearing backing plate by compliant support elements, typically in the form of corrugated bump structures. The compliance of the support elements accommodates large misalignment, shaft displacement, and absorbs mechanical energy from shaft vibration.
When working to improve GFTB static performance, there are several design parameters that should be considered before increasing the size of the bearing because larger bearings exhibit higher power losses and potentially create turbulence. While such a size increase may increase load capacity, it also generates greater power loss and it is more difficult to model and predict the bearing's performance. Table 1 shows the relationships between various bearing design parameters and performance parameters. The first four columns of the table highlight the design parameters that have been adopted by the gas foil bearing community to optimize gas foil thrust bearing performance. For example, there is an optimum value for taper height, which is about 8 to 10 times the minimum film thickness. As is known in the art, a “taper” is an angled or ramped portion of a bearing pad that is provided at the leading edge of the pad. The ratio of the taper angle-to-pad angle can be between 0.3 and 0.7, with 0.5 being the most common.
GFTBs typically comprise 5-9 bearing pads, depending on the thermal capacity of the working fluid. A larger number of pads results in the fluid being mixed with ambient pressure cooling flow more often. The gaps between pads can be wider to ensure proper mixing before the fluid enters the next pad. The effect of nominal clearance is easier to understand under the scope of a double-acting GFTB set. When the nominal clearance is reduced, the load capacity of the unloaded bearing is increased, thereby increasing the overall load capacity of the double-acting bearing set.
Some GFTBs have progressive height bump structures under the taper portion. This prevents the top foil from sagging as high pressure builds toward the taper end. Many GFTBs only have bump supports under the flat land region downstream of the taper. In that case, use of a thicker top foil can minimize sagging. In addition, a large taper-to-pad angle ratio is undesirable because the taper portion of the top foil could deform without the supporting structure. Varying the bump locations within a bump foil can tailor the local bump stiffness. The main objective of tailoring of the bump stiffness distribution is to counterbalance the pressure distribution profile, which reaches its maximum value where the taper ends and expands toward the trailing edge and side edges of the foil.
A pocket recess bearing is a multi-pad bearing in which a pocket recess is provided at each bearing pad's leading edge. The recesses function as pressure build-up mechanisms. Along the circumferential direction, pocket recess bearings having bearing geometries similar to to those of step bearings, which increase pressure to satisfy mass continuity when fluid passes through composite film thickness profile. Along the radial direction, walls of the recesses reduce leakage at the outer and inner boundaries and, therefore, preserve film pressure. Analyses in computational fluid dynamics (CFD) and thin film lubrication theory show performance enhancing benefits of using pocket recesses.
A taper-flat configuration is more effective as a pressure build-up mechanism as compared to the pocket recess configuration. However, the taper-flat configuration allows high leakage flow across the radial direction. The highest leakage flow occurs at the transition zone from the taper portion to the flat portion, at which pressure is maximum.
As noted above, the taper-flat configuration is more effective as a pressure build-up mechanism as compared to the pocket recess configuration, but allows high leakage flow across the radial direction. It has been determined that such leakage can be reduced, however, by adding pocket recesses to taper-flat top foils. In some embodiments, the pocket recesses can be located at the transition zones from the taper region to the flat land region of each top foil at which the pressure is at a maximum. By adding a pocket recess at that location, the radial flow is partially blocked without compromising benefits of the taper-flat configuration. This results in improvement of the GFTB's static performance.
Unlike the taper region 26, the flat land region 28 of the top foil 16 is horizontally arranged such that the top surface 24 is generally parallel with a bottom surface 30 of the top foil within the flat land region. In such a case, the top foil 16 is of constant thickness across that region 28. This is also illustrated in
With further reference to
As can also be seen in
Each of the above parameters can be significant in terms of achieving a desired performance. Of particular note are θpocket and θtaper. In some embodiments, θpocket can be larger than θtaper, as in the case of the example shown in
A parametric study was performed to evaluate the influence of the combined pocket-taper-flat configuration on bearing performance independent from the influence of foil flexibility. In the study, a 6-pad rigid bearing was used that had a pad configuration similar to that shown in
The leakage flow rate, calculated using equation (1) below, can help reveal the effect of the pocket recesses.
The bearing's static performance was analyzed by solving steady state Reynolds equation (2) for an ideal gas. Film thickness is defined such that pocket recess depth is added to the film thickness at the recess region, as shown in equation (3).
The bearing geometry and operating parameters presented in Table 2 are suitable for GFTBs used in a micro gas turbine (MGT), high-speed oil-free motors, and automotive fuel cell air compressor applications. The pocket recess depth should not exceed a limit at which flow recirculation starts occurring at the recess walls, which leads to loss in pressure gradient. In most cases, the recess depth is approximately 1 to 2 times the minimum film thickness.
The parametric study of pocket recess angular span, width, and depth was conducted to understand the influence of these parameters on bearing performance.
The bearing load capacity reaches a maximum value when the angle ratio is about 0.4. Beyond this point, load capacity drops significantly. Power loss is a function of shear stress generated by Couette (τc) and Poiseuille (τp) flow, as shown in equation (4). The pocket recesses help increase the film thickness and, therefore, reduce the shear stress due to Couette flow.
According to the simulated results, maximizing the pocket recess' radial width is beneficial to the bearing performance. As mentioned earlier, the recess depth should be approximately 1 or 2 times the bearing minimum film thickness. In this case, a 5-μm deep recess provided the best performance.
A GFTB having bearing pads illustrated in
Experiments were performed to evaluate the effects of incorporating pocket recesses into the top foils of GFTBs. The recesses were added to top foils having thicknesses of 127 μm (5 mils) and 203 μm (8 mils). The 203-μm thick top foil had a sharp bending transition from the tapered portion to the flat portion. Due to a higher bending stiffness of the thicker top foil, a bend was needed to get the top foil flap to sit flat on the bump foil. This prevents excessive mechanical preload and rubbing at top foil trailing edge.
Evidence of rubbing was identified by examining the bearing surface after testing. The GFTBs incorporating pocket recesses exhibited better performance at low speeds and high speeds for both top foil thicknesses. In the 140 krpm test (data presented in
In view of the above discussion, it can be appreciated that GFTBs offer many advantages over other bearings, including the ability to withstand high speed and high temperature conditions, low cost, light weight, generous allowance for component misalignment, and runout. From the studies and experiments it was determined that pocket recesses can work as a secondary pressure boosting mechanism in addition to the traditional taper-flat configuration. Also, radial leakage flow is mitigated at location of the pocket recess. In addition, by choosing the appropriate top foil thickness, the benefits of pocket recesses are immune to the foil sagging effect. Furthermore, bearing performance is most sensitive to the recess circumferential angle and is less affected by the recess radial width and depth. Moreover, due to runner vibration and the bearing's manufacturing defects, experiments showed the measured power loss to be higher than predicted. However, the test results clearly show that pocket recesses improve the GFTB performance by almost 18 percent in load capacity or reduce power losses by 11%. The benefits of the pocket recesses increase the bearing specific load capacity from 1.2 bar to 1.7 bar.
Pocket recesses of the type described above can be implemented in existing gas foil bearing high-speed systems to improve system efficiency. On the other hand, with the improved specific load capacity, the pocket recess GFTBs could potentially replace magnetic bearings in some applications, such as high-speed blowers, compressors, and gensets, thereby reducing system complexity and cost. The improvements in static performance combined with their lightweight nature makes pocket recess GFTBs more applicable to small unmanned aerial vehicles (UAVs), which require a robust support system under high load factors.
Although a particular embodiment of bearing pad was described in detail above, it is noted that alternative embodiments are possible. For example, the shape of the pocket recesses can be altered. As shown in
It is also noted that various configurations can be used for the compliant support elements that support the top foils on the backing plate. For example, as shown in
The manner in which the leading edges of the top foils are supported on the backing plate can also vary. For example, as shown in
Finally, it is noted that the portion of the top foil that is directly supported by the compliant support element can be altered. As an example,
This application claims priority to co-pending U.S. Provisional Application Ser. No. 62/942,435, filed Dec. 2, 2019, which is hereby incorporated by reference herein in its entirety.
Number | Date | Country | |
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62942435 | Dec 2019 | US |