Page 69 - Tribology in Machine Design
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56 Tribology in machine design
equilibrium, are the basis of the theory of fluid-film lubrication or
hydrodynamic lubrication.
abbreviated form as follows: using the method of substitution, integrate eqn
(2.136) in terms of a new variable </> such that
where
hence
This equation can readily be integrated in terms of 4>. Further, since the
pressure equation must give the same value of p when 0 =0 or 0 =2n, i.e.
when 0=0 or 4> — 2n, the sum of the terms involving (f) must vanish. This
condition determines the angle 0' and leads to the result
The integral then becomes
Substituting for sin cf) and cos (f) in terms of 0, the solution becomes
