solving finite journal bearing problem by finite difference
As many people may know that the governing equation of liquidlubricated bearing is the Reynolds equation, which is the reduced form of NavierStokes equations.
I can use RungeKutta 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. 
suggestion
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. 
About Matleb Programe for reynold's equation solution by finite diffrence method
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 
About Matleb Programe for reynold's equation solution by finite diffrence method
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 
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.). 
for piston ring in ic engine for flow separation by finite diffrence method in matleb
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...

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

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