Offered Every Spring

Credit Hours: 3-0-3
Prerequisites: Graduate standing in engineering or related discipline
Catalog Description: Analytical and numerical investigation of full film compressible and incompressible hydrodynamic lubrication problems for steady and unsteady conditions.
Textbooks: Hamrock, B.J, B. Q. Jacobson, and Steven R. Schmid, Fundamentals of Fluid Film Lubrication, 2nd Edition, Marcel Dekker, 2004.
Instructors: Itzhak Green
References: Green, I., Class notes, April 1987
W. A. Gross, Fluid Film Lubrication, John Wiley, 1980.
V. N. Constantinescu, Gas Lubrication, ASME, 1969.
O. Pinkus and B. Sternlicht, Theory of Hydrodynamic Lubrication, McGraw-Hill, 1961.
A. Cameron, Basic Lubrication Theory, 3rd Edition, John Wiley, 1981.Technical papers.
Goals: The course concentrates at finding solutions to compressible and incompressible hydrodynamic lubrication problems. Analytical approaches and numerical methods (finite differences and finite elements) are used to solve for steady and unsteady conditions. The course involves the solutions of the Reynolds equation (a nonlinear time dependent partial differential equation) for typical full film lubrication applications. Then elastohydrodynamic lubrication will be studied for concentrated contacts, first in dry conditions (Hertz stresses), and then for lubricated rectangular and elliptical conjunctions.
Prerequisites by topics: Undergraduate fluid mechanics, solid mechanics, math, computing
  • Introduction to hydrodynamic lubrication
  • Basic equations and boundary conditions
  • Reynolds equation
    • Leakage, and frictional losses
  • Load carrying capacity
  • One dimensional solutions to the Reynolds equation for incompressible fluids
    • Long bearings
    • Short bearings
    • Slider and thrust bearings
    • Stepped bearing
  • Finite Length Bearings
  • Finite differences method
    • Finite elements method
  • Design of journal bearings
  • One dimensional solutions for compressible fluids
  • Compressibility number
  • Long bearings at the two limiting cases of high and low compressibility numbers
  • Long slider bearings
  • Long journal bearings
  • The perturbation method
  • Linearized "ph" solution
  • Hydrostatic bearings
  • Thrust bearings
  • Journal bearings
  • Compressible fluids
  • Dynamic sealing
  • Mechanical face seals
  • Coned face seals
  • Inertia effects
  • Concentrated Contact Elasticity
  • Curvature sum and difference
  • Surface stresses and deformations
  • Subsurface stresses
  • Simplified solutions
  • Line load solutions
  • Elastic deformation in rectangular conjunctions
  • Point load solutions
  • Semi-infinite body
  • Elastohydrodynamic Lubrication of rectangular conjunctions
  • Incompressible solution
  • Compressible solution
  • Flow, load, and center of pressure
  • Pressure spike results
Grading Scheme (%):