Coupled lubrication and Stokes flow finite elements

International Journal for Numerical Methods in Fluids

Volumn 43, Issue 2, 2003, Pages 129-146

  Stay, Matthew S ^a   Barocas, Victor H ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b University of Minnesota   (United States)

Author keywords

Journal bearing; Reynolds Stokes theory; Roll coating; Thin films

Indexed keywords

BOUNDARY CONDITIONS; LUBRICATION; NAVIER STOKES EQUATIONS;

STOKES FLOW;

FLUID DYNAMICS;

FLUID FILM; JOURNAL BEARING; LIQUID FLOW; LUBRICATION THEORY; REYNOLDS EQUATION; STOKES FLOW;

EID: 0141483623     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.599     Document Type: Article

References (14)

1. Reynolds O. On the theory of lubrication and its application to Mr. Beauchamp tower's experiments, including an experimental determination of the viscosity of olive oil. Philosophical Transactions of the Royal Soeiety of London 1886; 177:157-234.
2. Carvalho MS, Scriven LE. Flows in forward deformable roll coating gaps: comaparison between spring and plane-strain models of roll cover. Journal of Computational Physics 1997; 138:449-479.
3. Roy RV, Roberts AJ, Simpson ME. A lubrication model of coating flows over a curved substrate in space. Journal of Fluid Mechanics 2002; 454(10):235-261.
4. Heys JJ, Barocas VH, Taravella MJ. Modeling passive mechanical interaction between aqueous humor and iris. Journal of Biomechanical Engineering 2001; 123(6):540-547.
5. Lai YG, Chandran KB, Lemmon J. A numerical simulation of mechanical heart valve closure fluid dynamics. Journal of Biomechanics 2002; 35:881 - 892.
6. Cho JR, Oden JT. A priori modeling error estimates of hierarchical models for elasticity problems for plate-and shell-like structures. Mathematical and Computer Modelling 1996; 23(10):117-133.
7. Ainsworth M, Arnold M. Construction and analysis of optimal hierarchic models of boundary value problems on thin circular and spherical geometries. SIAM Journal for Scientific Computing 2000; 22(2):673-703.
8. Surna KS. Transition finite elements for three-dimensional stress analysis. International Journal for Numerical Methods in Engineering 1980; 15:991-1020.
9. Liao CL, Reddy JN, Engelstad SP. A solid-shell transition element for geometrically non-linear analysis of laminated composite structures. International Journal for Numerical Methods in Engineering 1988; 26:1843-1854.
10. McCune RW, Armstrong CG, Robison DJ. Mixed-dimensional coupling in finite element models. International Journal for Numerical Methods in Engineering 2000; 49:725-750.
11. Kistler SF. The fluid mechanics of curtain coating and related viscous free surface flow with contact lines. Ph.D. Thesis, University of Minnesota, 1983.
12. Strang G, Fix GJ. An Analysis of the Finite Element Method. Prentice-Hall: Englewood Cliffs, NJ, 1973.
13. Jeffery GB. The rotation of two circular cylinders in a viscous fluid. Proceedings of the Royal Society of London 1922; 101(709):169-174.
14. Schunk PR, Sackinger PA, Rao RR, Chen KS, Baer TA, Labreche DA, Sun AC, Hopkins MM. Subia SR, Moffat HK, Secor RB, Roach RA, Wilkes ED, Noble DR, Hopkins PL, Simmons J, Notz PK. GOMA 4.0-A Full-Newton finite element program for free and moving boundary problems with coupled fluid/solid momentum, energy, mass, and chemical species transport: user's guide, Sandia National Laboratories, Albuquerque, 2002.