What Is the Reynolds Hydrodynamic Wedge & Slider Bearing Calculator?
The hydrodynamic wedge effect is the physical phenomenon where fluid dragged into a tapering gap creates high pressure capable of supporting heavy machinery.
Osborne Reynolds formulated his celebrated lubrication equation in 1886 to explain this phenomenon.
How Does the Reynolds Hydrodynamic Wedge & Slider Bearing Calculator Work?
Viscous shear forces drag viscous oil into the converging inlet h₁.
Because incompressible fluid cannot be compressed, it must either accelerate out the narrower outlet h₂ or squeeze out the sides, generating large hydrodynamic pressures.
Maximum load capacity occurs at an optimal film thickness ratio h₁/h₂ ≈ 2.19 (Lord Rayleigh optimum).
Reynolds Hydrodynamic Wedge & Slider Bearing Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Exact analytical solution to the 1D Reynolds differential equation for an inclined slider plane.
How to Use the Reynolds Hydrodynamic Wedge & Slider Bearing Calculator
- Input pad dimensions and runner sliding velocity.
- Specify oil dynamic viscosity at operating temperature.
- Provide inlet and outlet film clearances to evaluate total load support.
Step-by-Step Example Calculation
100 mm × 100 mm Hydroelectric Thrust Bearing Pad
Input Values:
Understanding Your Result
Total load capacity indicates how much axial force a single pad can carry.
Multiplying by the number of pads gives total thrust bearing machine capacity.
Factors That Affect the Result
- Trailing edge clearance h₂: Load capacity scales inversely with h₂ squared (1/h₂²); doubling clearance slashes load capacity by 75%.
When Should You Use This Calculator?
- Designing Kingsbury and Mitchell tilting-pad thrust bearings.
- Sizing propulsion thrust blocks on marine vessels.
Assumptions & Limitations
- 1D formulation neglecting side leakage; real finite-width pads require a side-leakage correction factor (~0.4 to 0.6).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Exact mathematical integration of the 1D Reynolds equation.