Chapter 8 : Viscous Incompressible Flows
Lecture 27 :


...Theory of Hydrodynamic Lubrication... cont from previous slide

 

  • The total load bearing capacity per unit width is
 

After substituting h=h1 - αx with α=(h1-h2)/ l in the above equation and performing the integration,

(27.14)
  • The shear stress at the bearing plate is
(27.15)

Substituting the value of from Eq. (27.14) and then invoking the value of Q in Eq. (27.15), the final expression for shear stress becomes

 
  • The drag force required to move the lower surface at speed U is expressed by
(27.16)
  • Michell thrust bearing, named after A.G.M. Michell, works on the principles based on the theory of hydrodynamic lubrication . The journal bearing (Fig. 27.3) develops its force by the same action, except that the surfaces are curved.

FIG 27.3 Hydrodynamic action of a journal bearing