Tribology:Numerical solution of finite Journal Bearing-Reynolds condition.

[nanunath]

Hi...:)

I need help as to how to solve the Reynolds equation:
\partialh/\partialt - \partial((h3/12n)*\partialp/\partialx) - \partial((h3/12n)*\partialp/\partialz) + \partial(U0*h*.5)/\partialx + \partial(W0*h*.5)/\partialz = 0
For a finite journal bearing assuming \partialh/\partialt = 0
And W0 = 0
The eqn becomes :

- \partial((h3/12n)*\partialp/\partialx) - \partial((h3/12n)*\partialp/\partialz) + \partial(U0*h*.5)/\partialx = 0

Plz help me as to how I can account the "Reynolds condition" :
p(0) = 0
p(\theta2) = 0
\partialp/\partial\theta2 = 0
in the numerical soultion.

Also which discretization scheme would be better?
(i-(1/2)), (i + (1/2)) and (j -(1/2)), (j + (1/2))
or
i+1, i-1 and j+1, j-1

{PS: i in X direction , j in Z direction, and h varies only in X direction}

Plz help....:confused::confused::confused::confused: