As many people may know that the governing equation of liquid-lubricated bearing is the Reynolds equation, which is the reduced form of Navier-Stokes equations.

I can use Runge-Kutta method to solve the long and short bearing, but I can't for finite bearing. I mean the results when I solve in the direction of plus x axis and in the direction of minus x axis is not the same thing. I will try to use finite difference.

Do anyone have the idea to suggest me?

Thank you very much.

Hai,

I would like to know if you are very specific of using finite difference technique. Why don't you solve the problem using some analytical technique? I shall be happy if I know the assumtions made in your problem too.

[Suchit]

you have any matleb programme in which Reynold's equation is solved by finite difference method???????
i am doing work on this bus not getting any reference work for complete convergent and divergent shape for parabolic shape....
My mail id : shahsuchit007@gmail.com

[Suchit]

you have any matleb programme in which Reynold's equation is solved by finite difference method???????
i am doing work on this bus not getting any reference work for complete convergent and divergent shape for parabolic shape....
My mail id : shahsuchit007@gmail.com

[tas38]

Solving the Reynolds equation for a finite journal bearing via finite differences
is very common. I refer you to the text by Pinkus and Sternlicht as well as the "Journal
Bearing Data Book" by Someya. Both books outline discretization of the Reynolds
equation.

Also, the book "Numerical Lubrication by Lubrication" by Huang has a number of
codes. They are written in FORTRAN.

http://www.wiley.com//legacy/wileych...tion/code.html

If you don't like either reference, central differencing all the pressure derivatives and
upwind differencing the Couette should be successful. The resulting linear system
can then solved by your choice of linear solver without any trouble (Reynolds is
essential Poisson's eqn.).

[Suchit]

thank you for replay but required solution of reaynold's equation in matleb only by finite diffrence method...for parabolic ring sliding on liner surface by flow separation...

[Suchit]

its very nice book but have full coding in FORTRAIN....same book required in MATLEB...