1. Toroidal Vortex Flow Conditions for vortex flow: Taylor Number:
Reynolds Number:
Figure Toroidal vortex flow in a journal bearing.

2. Mass Flow
Figure Mass flow through rectangular-section control volume. (a) x-y plane; (b) y-z plane; (c) x-y plane. [From Hamrock and Dowson (1981).]

3. Reynolds Equation

4. Reynolds Equation Terms
Figure Density wedge.
Figure Stretch mechanism.

5. Reynolds Equation Terms
Figure Physical wedge mechanism.
Figure Normal squeeze mechanism.

6. Reynolds Equation Terms
Figure Translation squeeze mechanism.
Figure Local expansion mechanism.

7. Possible Motion in Bearings
Figure Normal squeeze and sliding velocities.

8. Possible Motion in Bearings
Figure Normal squeeze and sliding velocities.

9. Parallel-Surface Slider Bearing
Figure Velocity profiles in a parallel-surface slider bearing.

10. Flow in Inclined Slider
Figure Flow within a fixed-incline slider bearing (a) Couette flow; (b) Poiseuille flow; (c) resulting velocity profile.

11. Thrust Bearing
Figure Force components and oil film geometry in a hydrodynamically lubricated thrust sector.
Figure Thrust bearing geometry.

12. Parallel-Surface Bearing
Figure Parallel-surface slider bearing.

13. Fixed-Incline Slider Bearing
Figure Fixed-incline slider bearing.
Figure Pressure distributions of fixed-incline slider bearing.

14. Fixed-Incline Bearing Results
Figure Effect of film thickness ratio on normal load-carrying capacity.
Figure Effect of film thickness ratio on force components.

15. Fixed-Incline Bearing Results
Figure Effect of film thickness ratio on friction coefficient parameter.
Figure Effect of film thickness ratio on dimensionless volume flow rate.

16. Fixed-Incline Bearing Results
Figure Effect of film thickness ratio on dimensionless adiabatic temperature rise.
Figure Effect of film thickness ratio on dimensionless center of pressure.

17. Streamlines in Fixed-Incline Slider Bearing
Figure Streamlines in fixed-incline bearing at four film thickness ratios Ho. (a) Ho =2; (b) Ho =1 (critical value).

18. Streamlines in Fixed-Incline Slider Bearing (cont.)
Figure Concluded. (c) Ho = 0.5; (d) Ho = 0.25.

19. Parallel-Step Bearing
Figure Parallel-step slider bearing.

20. Parallel-Step Pad Slider Bearing
Figure Finite parallel-step-pad slider bearing.

21. Parallel-Step-Pad Bearing Results

22. Parallel-Step-Pad Bearing Results

23. Parallel-Step-Pad Bearing Results
Figure Shrouded-step slider bearings. (a) Semicircular step; (b) truncated triangular step.

24. Fixed-Incline-Pad Slider Bearing
Figure Side view of fixed-incline-pad bearing. [From Raimondi and Boyd (1955).]
Figure Configurations of multiple fixed-incline-pad thrust bearing. [From Raimondi and Boyd (1955).]

25. Film Thickness for Given Surface Finish

26. Fixed-Incline Slider Results
Figure Chart for determining minimum film thickness corresponding to maximum load or minimum power loss for various pad proportions - fixed-incline-pad bearings. [From Raimondi and Boyd (1955).]

27. Fixed-Incline Slider Results
Figure Chart for determining minimum film thickness for fixed-incline-pad thrust bearings. [From Raimondi and Boyd (1955).]

28. Fixed-Incline Slider Results
Figure Chart for determining dimensionless temperature rise due to viscous shear heating of lubricant in fixed-incline-pad thrust bearings. [From Raimondi and Boyd (1955)]

29. Fixed-Incline Slider Results
Figure Chart for determining performance parameters of fixed-incline-pad thrust bearings. (a) Friction coefficient; (b) power loss. [From Raimondi and Boyd (1955)].

30. Fixed-Incline Slider Results
Figure 9.9 Concluded. (c) Lubricant flow; (d) lubricant side flow.

31. Pivoted-Pad Slider Bearing
Figure Side view of pivoted-pad thrust bearing. [From Raimondi and Boyd (1955).]
Figure Configuration of multiple pivoted-pad thrust bearing. [From Raimondi and Boyd (1955).]

32. Pivoted-Pad Slider Results
Figure Chart for determining pivot location corresponding to maximum load or minimum power loss for various pad proportions - pivoted-pad bearings. [From Raimondi and Boyd (1955).]

33. Pivoted-Pad Slider Results
Figure Chart for determining dimensionless temperature rise due to viscous shear heating of lubricant for pivoted-pad thrust bearing. [From Raimondi and Boyd (1955).]
Figure Chart for determining outlet film thickness for pivoted-pad thrust bearings. [From Raimondi and Boyd (1955).]

34. Pivoted-Pad Slider Results
Figure Chart for determining performance parameters for pivoted-pad thrust bearings. (a) Dimensionless load; (b) friction coefficient. [From Raimondi and Boyd (1955).]

35. Pivoted-Pad Slider Results
Figure Concluded. (c) Lubricant flow; (d) lubricant side flow; (e) power loss.

36. Journal Bearing Figure 10.2 Unwrapped film shape in a journal bearing.
Figure Hydrodynamic journal bearing geometry.

37. Sommerfeld Angle

38. Full Sommerfeld Solution
Sommerfeld substitution:
Pressure distribution:
Maximum pressure:
Figure Pressure distribution for full Sommerfeld solution.

39. Forces for Sommerfeld Solution
Figure Coordinate system and force components in a journal bearing.
Figure Vector forces acting on a journal.

40. Reynolds Boundary Condition
Figure Pressure profile for a journal bearing using Reynolds boundary condition.
Figure Location of shaft center for full and half Sommerfeld journal bearing solutions.

41. Hydrodynamic Journal Bearings
Sommerfeld number:
Diameter-to-width ratio:
Figure Pressure distribution around a journal bearing.

42. Film Thickness and Eccentricity
Figure Effect of bearing number on minimum film thickness for four diameter-to-width ratios. [From Raimondi and Boyd (1958)].

43. Attitude Angle
Figure Effect of bearing number on attitude angle for four diameter-to-width ratios. [From Raimondi and Boyd (1958).]

44. Friction Coefficient
Figure Effect of bearing number on friction coefficient for four diameter-to-width ratios. [From Raimondi and Boyd (1958).]

45. Fluid Flow
Figure Effect of bearing number on dimensionless flow rate for four diameter-to-width ratios. [From Raimondi and Boyd (1958).]
Figure Effect of bearing number on volume side flow ratio for four diameter-to-width ratios. [From Raimondi and Boyd (1958).]

46. Maximum Pressure & Location
Figure Effect of bearing number on dimensionless maximum film pressure for four diameter-to-width ratios. [From Raimondi and Boyd (1958).]
Figure Effect of bearing number on location of terminating and maximum pressures for four diameter-to-width ratios. [From Raimondi and Boyd (1958).]

47. Effect of Radial Clearance
Figure Effect of radial clearance on some performance parameters for a particular case.

48. Fixed-Incline Pad Journal Bearings

49. Effect of Preload
Figure Effect of preload factor mp on two-lobe bearings. (a) Largest shaft that fits in bearing. (b) mp =0; largest shaft, ra; bearing clearance cb = c. (c) mp =1.0; largest shaft, rb; bearing clearance cb =0. [From Allaire and Flack (1980).]

50. Hydrodynamic Squeeze Film Bearings
Figure Journal bearing with normal squeeze film action. Rotational velocities are all zero.
Figure Parallel-surface squeeze film bearing.

51. Parallel Circular Plate
Load support:
Time of approach:
Figure Parallel circular plate approaching a plane surface.

52. Rigid Cylinder Load support: Time of approach:
Figure Rigid cylinder approaching a plane surface.