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# Fluid Film Lubrication Modeling

## Fluid Film Lubrication Modeling

(OP)
I am trying to model hydrodynamic lubrication using the Reynolds' equation and finite elements. Any suggestions for good reference books in this topic, preferably with algorithms or computer codes?

Thanks,
Nostalgia21

### RE: Fluid Film Lubrication Modeling

Probably the most comprehensive book on this is B.J. Hamrock - 'Fluid Film Lubrication' published by McGraw Hill. Good Luck.

### RE: Fluid Film Lubrication Modeling

Hi,

I ve written a program for solving Reynolds equation using FEA.
I can give you guidelines :
1-/ mesh the 2D domain of sliding (I used triangle 3 nodes)
and apply boudary conditions (p=0 all around the domain for starting)
2-/ build the element matrix, (ref: Huebner "FEM for engineers", Reddi, and so on). For the film thickness, use numerical integration for h and h^3, very simple for linear shape function
3-/ assemble the general matrix which is sym. and positive definite, that is no problem for solving.
4-/ Post process the pressures to obtain velocity, shear stress, load and so on.

Next you can add enhancements such as error estimation, embedded sparse solver (use some PCG), refine polynomial for the recovery of second order derivatives.

Regards

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