Determination of the Robin coefficient in a nonlinear boundary condition for a steady-state problem

2008 ◽  
Vol 32 (10) ◽  
pp. 1311-1324 ◽  
Author(s):  
Marián Slodička ◽  
Daniel Lesnic
Keyword(s):  
Boundary Condition ◽  
Steady State ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
State Problem ◽  
Steady State Problem

The Lubrication of Lightly Loaded Cylinders in Combined Rolling, Sliding, and Normal Motion—Part I: Theory

1976 ◽  
Vol 98 (4) ◽  
pp. 509-516 ◽  
Author(s):  
D. Dowson ◽  
P. H. Markho ◽  
D. A. Jones
Keyword(s):  
Boundary Condition ◽  
Steady State ◽  
Film Thickness ◽  
Carrying Capacity ◽  
Dimensionless Parameter ◽  
Load Carrying Capacity ◽  
State Problem ◽  
Load Carrying ◽  
Minimum Film Thickness ◽  
Steady State Problem

The problem considered in this paper is that of the lubrication of rigid cylindrical solids by an isoviscous lubricant. The steady-state problem has been studied by several authors, but the present analysis explores the effect of non-steady-state conditions arising from combined ‘normal’ and ‘entraining’ motion. It is shown that the major bearing performance characteristics can be accounted for by means of a dimensionless parameter (q) involving the ‘normal’ and ‘entraining’ velocities, the minimum film thickness and the radius of a geometrically equivalent cylinder near a plane. The results are represented graphically and by a set of convenient polynomials in (q). The influence of the cavitation boundary condition is considered and it is shown that sinusoidal ‘normal’ motion superimposed upon ‘entraining’ action can lead to a substantial increase in the nett load carrying capacity.

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