THE REYNOLDS AND ENERGY EQUATIONS

The following sections are included:

• Introduction

• Reynolds Equation

• Reynolds Equation by Dimensional Analysis

• Derivation of Reynolds Equation in Three Dimensions

  • Equilibrium of forces on a lubricant element

  • Velocity distribution

  • Mass continuity

• Simplifications of Reynolds Equation

  • Long bearing

  • Long bearing approximation for rigid cylinders

  • Line contact pressure distribution

  • Line contact load

  • Narrow bearings

  • Squeeze film bearings

• Rolling Contacts

• The Energy Equation

  • Significance of terms in the energy equation

  • Convected heat only

  • Conducted heat only

  • Heat flow ratio

• Closure

• References